Title: Transformations
Course: quiz duplicate error

Q: By how many degrees was the image of the beaker in Figure 1 rotated clockwise about the origin to create Figure 2?

[Image] | [Image]
Figure 1 | Figure 2
- 270° (The image of the beaker has been rotated 270° clockwise about the origin.)
- 180° (The image of the beaker has been rotated 270° clockwise about the origin.)
- 90° (The image of the beaker has been rotated 270° clockwise about the origin.)
- 0° (The image of the beaker has been rotated 270° clockwise about the origin.)
A: 270°

Q: Which of the following terms best describes the transformation from Figure 1 to Figure 2?

[Image] | [Image]
Figure 1 | Figure 2
- translation (The transformation used to create Figure 2 was a translation.)
- rotation (The transformation used to create Figure 2 was a translation.)
- reflection (The transformation used to create Figure 2 was a translation.)
- congruent (The transformation used to create Figure 2 was a translation.)
A: translation

Q: Which type of transformation is represented by the two flags in the diagram below?
[Image]
- Slide (Since the second flag is a translated version of the first flag, the answer is Slide.)
- Turn (Since the second flag is a translated version of the first flag, the answer is Slide.)
- Enlargement (Since the second flag is a translated version of the first flag, the answer is Slide.)
- Flip (Since the second flag is a translated version of the first flag, the answer is Slide.)
A: Slide

Q: Which graph shows the treble clef after it is rotated 180 degrees?
[Image]
- [Image] (When the treble clef is rotated 180 degrees, the resulting graph will be: [Image])
- [Image] (When the treble clef is rotated 180 degrees, the resulting graph will be: [Image])
- [Image] (When the treble clef is rotated 180 degrees, the resulting graph will be: [Image])
- [Image] (When the treble clef is rotated 180 degrees, the resulting graph will be: [Image])
A: [Image]

Q: By how many degrees was the image of the shirt rotated clockwise about the origin?

[Image] | [Image]
Before | After
- 180° (The image of the shirt has been rotated 90° clockwise about the origin.)
- 270° (The image of the shirt has been rotated 90° clockwise about the origin.)
- 90° (The image of the shirt has been rotated 90° clockwise about the origin.)
- 0° (The image of the shirt has been rotated 90° clockwise about the origin.)
A: 90°

Q: Which of the following terms best describes the before and after pictures below?

Before | After
[Image] | [Image]
- reflection (The after picture appears to be a reflection of the before picture.)
- transformation (The after picture appears to be a reflection of the before picture.)
- translation (The after picture appears to be a reflection of the before picture.)
- rotation (The after picture appears to be a reflection of the before picture.)
A: reflection

Q: A figure (in light gray) and its transformation (in dark gray) are shown below.
[Image]
What basic transformation has been performed on the original figure?
- dilation (A reflection occurs when a shape is reflected (as in a mirror). A rotation occurs when a shape is spun around a point. A slide occurs when a shape is simply moved from one place to another. A dilation or reduction occurs when an object is blown up or shrunk.)
- slide or translation (A reflection occurs when a shape is reflected (as in a mirror). A rotation occurs when a shape is spun around a point. A slide occurs when a shape is simply moved from one place to another. A dilation or reduction occurs when an object is blown up or shrunk.)
- reflection (A reflection occurs when a shape is reflected (as in a mirror). A rotation occurs when a shape is spun around a point. A slide occurs when a shape is simply moved from one place to another. A dilation or reduction occurs when an object is blown up or shrunk.)
- reduction (A reflection occurs when a shape is reflected (as in a mirror). A rotation occurs when a shape is spun around a point. A slide occurs when a shape is simply moved from one place to another. A dilation or reduction occurs when an object is blown up or shrunk.)
A: slide or translation

Q: A student is creating an art design using a right triangle. What transformation would describe the relationship between Triangle A and Triangle B?
[Image]
- slide and rotation (The triangle has not changed orientation, so a rotation is not involved. The two triangles are the same size, so no dilation has occurred. The triangle has only been slid from one place to another.)
- rotation (The triangle has not changed orientation, so a rotation is not involved. The two triangles are the same size, so no dilation has occurred. The triangle has only been slid from one place to another.)
- slide (The triangle has not changed orientation, so a rotation is not involved. The two triangles are the same size, so no dilation has occurred. The triangle has only been slid from one place to another.)
- dilation (The triangle has not changed orientation, so a rotation is not involved. The two triangles are the same size, so no dilation has occurred. The triangle has only been slid from one place to another.)
A: slide

Q: What transformation would describe the relationship between Triangle A and Triangle B?
[Image]
- rotation (The triangle has changed orientation, but no matter how you turn Triangle A, you can not end up with Triangle B; therefore, a rotation is not involved. The two triangles are the same size, so no dilation has occurred. The triangle did not slide from one place to another. Therefore, Triangle A has been reflected to produce Triangle B.)
- dilation (The triangle has changed orientation, but no matter how you turn Triangle A, you can not end up with Triangle B; therefore, a rotation is not involved. The two triangles are the same size, so no dilation has occurred. The triangle did not slide from one place to another. Therefore, Triangle A has been reflected to produce Triangle B.)
- reflection (The triangle has changed orientation, but no matter how you turn Triangle A, you can not end up with Triangle B; therefore, a rotation is not involved. The two triangles are the same size, so no dilation has occurred. The triangle did not slide from one place to another. Therefore, Triangle A has been reflected to produce Triangle B.)
- slide (The triangle has changed orientation, but no matter how you turn Triangle A, you can not end up with Triangle B; therefore, a rotation is not involved. The two triangles are the same size, so no dilation has occurred. The triangle did not slide from one place to another. Therefore, Triangle A has been reflected to produce Triangle B.)
A: reflection

Q: Which translation from solid-lined figure to dashed-lined figure is given by the vector [Image]?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: What movement can you do to Figure 1 to get Figure 2?
[Image] [Image]
- Slide Figure 1 down and to the left. (Figure 2 is above and to the left of Figure 1. You should slide Figure 1 up and to the left.)
- Slide Figure 1 up and to the left. (Figure 2 is above and to the left of Figure 1. You should slide Figure 1 up and to the left.)
- Slide Figure 1 down and to the right. (Figure 2 is above and to the left of Figure 1. You should slide Figure 1 up and to the left.)
- Slide Figure 1 up and to the right. (Figure 2 is above and to the left of Figure 1. You should slide Figure 1 up and to the left.)
A: Slide Figure 1 up and to the left.

Q: What was done to the first triangle to get the second triangle?
[Image] [Image]
- flip (The second triangle is a slide of the first triangle.)
- enlargement (The second triangle is a slide of the first triangle.)
- turn (The second triangle is a slide of the first triangle.)
- slide (The second triangle is a slide of the first triangle.)
A: slide

Q: How are the two pentagons related?
[Image] [Image]
- The second pentagon is a turn of the first pentagon. (The second pentagon is a slide of the first pentagon.)
- The second pentagon is a slide of the first pentagon. (The second pentagon is a slide of the first pentagon.)
- The second pentagon is a flip of the first pentagon. (The second pentagon is a slide of the first pentagon.)
- The second pentagon is an enlargement of the first pentagon. (The second pentagon is a slide of the first pentagon.)
A: The second pentagon is a slide of the first pentagon.

Q: Cindy used a geometry computer program to draw the two right triangles. What did she do to the first right triangle to get the second one?
[Image] [Image]
- a 180-degree turn (In the first triangle, the right angle is in the top left corner. In the second triangle, the right angle is in the top right corner. She did a flip to the first triangle to get the second one.)
- a slide (In the first triangle, the right angle is in the top left corner. In the second triangle, the right angle is in the top right corner. She did a flip to the first triangle to get the second one.)
- a flip (In the first triangle, the right angle is in the top left corner. In the second triangle, the right angle is in the top right corner. She did a flip to the first triangle to get the second one.)
- an enlargement (In the first triangle, the right angle is in the top left corner. In the second triangle, the right angle is in the top right corner. She did a flip to the first triangle to get the second one.)
A: a flip

Q: Bryce is playing a game. It is his turn to move the square.
[Image]
He slides it 1 space to the right, and 1 space up. Where will it be?
- [Image] ([Image])
- [Image] ([Image])
- [Image] ([Image])
- [Image] ([Image])
A: [Image]

Q: John drew a geometric design on his paper. It looked like this:

[Image] | [Image]

He then drew four more pictures of the same geometric design:

[Image] | [Image] | [Image]
[Image] | [Image] | [Image]
[Image] | [Image] | [Image]
[Image] | [Image] | [Image]

Look at John’s geometric design above. Which of the four figures shows the same design after a slide across the dotted line?
- Figure 1 (Look at the original design drawn by John. To slide the design over the dotted line would show the design as it is. The figure that is the same as the original is Figure 2.)
- Figure 3 (Look at the original design drawn by John. To slide the design over the dotted line would show the design as it is. The figure that is the same as the original is Figure 2.)
- Figure 4 (Look at the original design drawn by John. To slide the design over the dotted line would show the design as it is. The figure that is the same as the original is Figure 2.)
- Figure 2 (Look at the original design drawn by John. To slide the design over the dotted line would show the design as it is. The figure that is the same as the original is Figure 2.)
A: Figure 2

Q: Kirby is making shapes on a geoboard.
[Image]
Which shape below is a slide of Kirby’s shape?
- [Image] (A slide is a move left, right, up, or down without turning or flipping. The following shape is the slide. [Image])
- [Image] (A slide is a move left, right, up, or down without turning or flipping. The following shape is the slide. [Image])
- [Image] (A slide is a move left, right, up, or down without turning or flipping. The following shape is the slide. [Image])
- [Image] (A slide is a move left, right, up, or down without turning or flipping. The following shape is the slide. [Image])
A: [Image]

Q: Which shows a flip of the triangle across the dotted line?
[Image]
- [Image] (Here are ways to move a shape. A slide does not change the direction of the shape. A flip shows a mirror image of the shape. A 180-degree turn is a half turn. This is the shape that can be made by a flip. [Image])
- [Image] (Here are ways to move a shape. A slide does not change the direction of the shape. A flip shows a mirror image of the shape. A 180-degree turn is a half turn. This is the shape that can be made by a flip. [Image])
- [Image] (Here are ways to move a shape. A slide does not change the direction of the shape. A flip shows a mirror image of the shape. A 180-degree turn is a half turn. This is the shape that can be made by a flip. [Image])
- [Image] (Here are ways to move a shape. A slide does not change the direction of the shape. A flip shows a mirror image of the shape. A 180-degree turn is a half turn. This is the shape that can be made by a flip. [Image])
A: [Image]

Q: Hank is learning the states in his social studies class. Which figure shows the state of Texas after a slide?
[Image]
- [Image] (The following shape of Texas has been slid. [Image])
- [Image] (The following shape of Texas has been slid. [Image])
- [Image] (The following shape of Texas has been slid. [Image])
- [Image] (The following shape of Texas has been slid. [Image])
A: [Image]

Q: How is Figure 2 related to the Figure 1?

[Image] | [Image]
- The second figure is a 180° turn. (The Figure 1 was turned 90° clockwise to create Figure 2.)
- The second figure is a flip. (The Figure 1 was turned 90° clockwise to create Figure 2.)
- The second figure is a turn 90° clockwise. (The Figure 1 was turned 90° clockwise to create Figure 2.)
- The second figure is a turn 90° counterclockwise. (The Figure 1 was turned 90° clockwise to create Figure 2.)
A: The second figure is a turn 90° clockwise.

Q: The treble clef is used by musicians on the music staff to mark the G above middle C. What would you do to get the second treble clef from the first treble clef?

[Image] | [Image]
- Slide the first treble clef to the right. (The second treble clef was flipped.)
- Turn the first treble clef 90° counterclockwise. (The second treble clef was flipped.)
- Flip the first treble clef. (The second treble clef was flipped.)
- Turn the first treble clef 90° clockwise. (The second treble clef was flipped.)
A: Flip the first treble clef.

Q: The symbol [Image] is used to show eighth notes on sheet music. What can you do to eighth note 1 to get eighth note 2?

[Image] | [Image]
- Slide eighth note 1 down and to the right. (Eighth note 2 is below and to the right of eighth note 1. You should slide eighth note 1 down and to the right.)
- Slide eighth note 1 down and to the left. (Eighth note 2 is below and to the right of eighth note 1. You should slide eighth note 1 down and to the right.)
- Slide eighth note 1 up and to the right. (Eighth note 2 is below and to the right of eighth note 1. You should slide eighth note 1 down and to the right.)
- Slide eighth note 1 up and to the left. (Eighth note 2 is below and to the right of eighth note 1. You should slide eighth note 1 down and to the right.)
A: Slide eighth note 1 down and to the right.

Q: Which figure shows the jet after a 90° turn clockwise?
[Image] [Image]
- [Image] (The following jet was turned 90° clockwise. [Image])
- [Image] (The following jet was turned 90° clockwise. [Image])
- [Image] (The following jet was turned 90° clockwise. [Image])
- [Image] (The following jet was turned 90° clockwise. [Image])
A: [Image]

Q: Luis is making a leaf design in art class. How is the second leaf related to the first leaf?

[Image] | [Image]
- The second leaf is a turn 90° clockwise. (The first leaf was turned 180° to create the second leaf.)
- The second leaf is a flip. (The first leaf was turned 180° to create the second leaf.)
- The second leaf is a 180° turn. (The first leaf was turned 180° to create the second leaf.)
- The second leaf is a slide. (The first leaf was turned 180° to create the second leaf.)
A: The second leaf is a 180° turn.

Q: What movement can you do to flower 1 to get flower 2?

[Image] | [Image]
- Slide flower 1 down and to the left. (Flower 2 is below and to the left of flower 1. You should slide flower 1 down and to the left.)
- Slide flower 1 down and to the right. (Flower 2 is below and to the left of flower 1. You should slide flower 1 down and to the left.)
- Slide flower 1 up and to the right. (Flower 2 is below and to the left of flower 1. You should slide flower 1 down and to the left.)
- Slide flower 1 up and to the left. (Flower 2 is below and to the left of flower 1. You should slide flower 1 down and to the left.)
A: Slide flower 1 down and to the left.

Q: How can you change the first road sign to make it look like the second sign?

[Image] | [Image]
- Turn the first sign 90° clockwise. (To get the first sign to look like the second sign, turn the first sign 180°.)
- Turn the first sign 180°. (To get the first sign to look like the second sign, turn the first sign 180°.)
- Flip the first sign. (To get the first sign to look like the second sign, turn the first sign 180°.)
- Slide the first sign to the right. (To get the first sign to look like the second sign, turn the first sign 180°.)
A: Turn the first sign 180°.

Q: The manatee is an endangered animal. It is often called a sea cow because it feeds on water plants.

[Image] | [Image]

How is the second picture of a manatee related to the first picture?
- It is a rotation of 180 degrees. (There are several ways to move a picture. A slide is a move that does not change the direction of the picture. A flip is a mirror image of the picture. A rotation is a clockwise or counterclockwise turn. The second picture is a slide of the first picture.)
- It is a slide. (There are several ways to move a picture. A slide is a move that does not change the direction of the picture. A flip is a mirror image of the picture. A rotation is a clockwise or counterclockwise turn. The second picture is a slide of the first picture.)
- It is a rotation of 90 degrees clockwise. (There are several ways to move a picture. A slide is a move that does not change the direction of the picture. A flip is a mirror image of the picture. A rotation is a clockwise or counterclockwise turn. The second picture is a slide of the first picture.)
- It is a flip. (There are several ways to move a picture. A slide is a move that does not change the direction of the picture. A flip is a mirror image of the picture. A rotation is a clockwise or counterclockwise turn. The second picture is a slide of the first picture.)
A: It is a slide.

Q: How can the blue shape be moved to cover the red shape?
[Image] [Image]
- Use a slide. (Think about the ways to transform a shape. A slide is a movement that does not change the direction of the shape. A flip shows a mirror image of the shape. A clockwise rotation is a turn in the direction the hands move on a clock. A turn in the opposite direction is called counterclockwise. A slide of the blue shape will cover the red shape.)
- Use a 180-degree rotation. (Think about the ways to transform a shape. A slide is a movement that does not change the direction of the shape. A flip shows a mirror image of the shape. A clockwise rotation is a turn in the direction the hands move on a clock. A turn in the opposite direction is called counterclockwise. A slide of the blue shape will cover the red shape.)
- Use a 90-degree clockwise rotation. (Think about the ways to transform a shape. A slide is a movement that does not change the direction of the shape. A flip shows a mirror image of the shape. A clockwise rotation is a turn in the direction the hands move on a clock. A turn in the opposite direction is called counterclockwise. A slide of the blue shape will cover the red shape.)
- Use a flip. (Think about the ways to transform a shape. A slide is a movement that does not change the direction of the shape. A flip shows a mirror image of the shape. A clockwise rotation is a turn in the direction the hands move on a clock. A turn in the opposite direction is called counterclockwise. A slide of the blue shape will cover the red shape.)
A: Use a slide.

Q: Which shows a 180-degree turn of the triangle?
[Image]
- [Image] (There are several ways to move a shape. A slide does not change the direction of the shape. A flip shows a mirror image of the shape. A rotation is a turn. A quarter turn is 90° and a half turn is 180°. This figure shows a 180-degree turn of the triangle. [Image])
- [Image] (There are several ways to move a shape. A slide does not change the direction of the shape. A flip shows a mirror image of the shape. A rotation is a turn. A quarter turn is 90° and a half turn is 180°. This figure shows a 180-degree turn of the triangle. [Image])
- [Image] (There are several ways to move a shape. A slide does not change the direction of the shape. A flip shows a mirror image of the shape. A rotation is a turn. A quarter turn is 90° and a half turn is 180°. This figure shows a 180-degree turn of the triangle. [Image])
- [Image] (There are several ways to move a shape. A slide does not change the direction of the shape. A flip shows a mirror image of the shape. A rotation is a turn. A quarter turn is 90° and a half turn is 180°. This figure shows a 180-degree turn of the triangle. [Image])
A: [Image]

Q: Maska slid the square below 2 spaces to the right and 2 spaces down.
[Image]
Where would the square be located now?
- [Image] ([Image] | Move the square 2 spaces to the right and 2 spaces down, as shown in the figure to the left.)
- [Image] ([Image] | Move the square 2 spaces to the right and 2 spaces down, as shown in the figure to the left.)
- [Image] ([Image] | Move the square 2 spaces to the right and 2 spaces down, as shown in the figure to the left.)
- [Image] ([Image] | Move the square 2 spaces to the right and 2 spaces down, as shown in the figure to the left.)
A: [Image]

Q: When the triangle below is translated 1 unit to the left and 2 units down, which of the following is NOT a vertex of the translated image?
[Image]
- [Image] (To find each new vertex, apply the translation to each of the original ones. It can then be seen that the only point that could not be a vertex is [Image].)
- [Image] (To find each new vertex, apply the translation to each of the original ones. It can then be seen that the only point that could not be a vertex is [Image].)
- [Image] (To find each new vertex, apply the translation to each of the original ones. It can then be seen that the only point that could not be a vertex is [Image].)
- [Image] (To find each new vertex, apply the translation to each of the original ones. It can then be seen that the only point that could not be a vertex is [Image].)
A: [Image]

Q: How many units does Mei-ling need to translate the figure to the right in order to create a design that is symmetric with respect to the y-axis?
[Image]
- 10 units (If the figure is translated 10 units to the right, the result will be symmetric about the y-axis. [Image])
- 11 units (If the figure is translated 10 units to the right, the result will be symmetric about the y-axis. [Image])
- 6 units (If the figure is translated 10 units to the right, the result will be symmetric about the y-axis. [Image])
- 9 units (If the figure is translated 10 units to the right, the result will be symmetric about the y-axis. [Image])
A: 10 units

Q: Point P lies on the origin of a coordinate system. If you translate the point 5 units up, then 4 units left, and then 4 units down, the result is Point P´. What are the coordinates of Point P´?
[Image]
- (–4, –1) (After translating 5 units up, the result will be (0, 5). Then when you translate 4 units left, the point will have coordinates (–4, 5). Finally, when you translate the point 4 units down, the translated image will have coordinates (–4, 1).)
- (4, –1) (After translating 5 units up, the result will be (0, 5). Then when you translate 4 units left, the point will have coordinates (–4, 5). Finally, when you translate the point 4 units down, the translated image will have coordinates (–4, 1).)
- (–4, 1) (After translating 5 units up, the result will be (0, 5). Then when you translate 4 units left, the point will have coordinates (–4, 5). Finally, when you translate the point 4 units down, the translated image will have coordinates (–4, 1).)
- (4, 1) (After translating 5 units up, the result will be (0, 5). Then when you translate 4 units left, the point will have coordinates (–4, 5). Finally, when you translate the point 4 units down, the translated image will have coordinates (–4, 1).)
A: (–4, 1)

Q: What will the coordinates of Triangle RST be after it is translated 4 units down and 3 units left?
[Image]
- R¢(–1, –2), S¢(8, –1), T¢(5, –9) (Subtract 3 from the x-value and subtract 4 from the y-value of each point. [Image])
- R¢(–7, –2), S¢(8, –1), T¢(–1, –1) (Subtract 3 from the x-value and subtract 4 from the y-value of each point. [Image])
- R¢(–1, 6), S¢(8, 7), T¢(5, –1) (Subtract 3 from the x-value and subtract 4 from the y-value of each point. [Image])
- R¢(–7, –2), S¢(2, –1), T¢(–1, –9) (Subtract 3 from the x-value and subtract 4 from the y-value of each point. [Image])
A: R¢(–7, –2), S¢(2, –1), T¢(–1, –9)

What will the x-coordinate of Point P (0, –2) be after being translated 5 units right and 9 units down?