Title: Transformations Review
Course: quiz duplicate error

Q: Sonia 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 slide. (The first leaf was slid to create the second leaf.)
- The second leaf is a 180° turn. (The first leaf was slid to create the second leaf.)
- The second leaf is a turn 90° counterclockwise. (The first leaf was slid to create the second leaf.)
- The second leaf is a turn 90° clockwise. (The first leaf was slid to create the second leaf.)
A: The second leaf is a slide.

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 transformation would describe the relationship between Triangle A and Triangle B?
[Image]
- 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.)
- 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.)
- 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.)
- 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.)
A: reflection

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: Jenna is playing a game. It is her turn to move the square.
[Image]
She slides it 3 spaces to the right, and 3 spaces up. Where will it be?
- [Image] ([Image])
- [Image] ([Image])
- [Image] ([Image])
- [Image] ([Image])
A: [Image]

Q: Adrian 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 Adrian’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 Adrian. 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 Adrian. 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 Adrian. 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 Adrian. 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: 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 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.)
- 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.)
A: It is a slide.

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

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

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

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?
- 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.)
- 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.)
- 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.)
- rotation (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: rotation

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: A student is creating an art design using a right triangle. What transformation would describe the relationship between Triangle A and Triangle B?
[Image]
- 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.)
- 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.)
A: slide

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

Q: Which graph shows the treble clef after it is reflected across the the y-axis?
[Image]
- [Image] (When the treble clef is reflected across the the y-axis, the resulting graph will be: [Image])
- [Image] (When the treble clef is reflected across the the y-axis, the resulting graph will be: [Image])
- [Image] (When the treble clef is reflected across the the y-axis, the resulting graph will be: [Image])
- [Image] (When the treble clef is reflected across the the y-axis, the resulting graph will be: [Image])
A: [Image]

Q: How can the blue shape be moved to cover the red shape?
[Image] [Image]
- 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 flip 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 flip of the blue shape will cover the red shape.)
- 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 flip 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 flip of the blue shape will cover the red shape.)
A: Use a flip.

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

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

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 90°clockwise.)
- Turn the first sign 90° counterclockwise. (To get the first sign to look like the second sign, turn the first sign 90°clockwise.)
- Turn the first sign 180°. (To get the first sign to look like the second sign, turn the first sign 90°clockwise.)
- Flip the first sign. (To get the first sign to look like the second sign, turn the first sign 90°clockwise.)
A: Turn the first sign 90°clockwise.

Q: Guadalupe slid the square below 2 spaces to the left and 3 spaces up.
[Image]
Where would the square be located now?
- [Image] ([Image] | Move the square 2 spaces to the left and 3 spaces up, as shown in the figure to the left.)
- [Image] ([Image] | Move the square 2 spaces to the left and 3 spaces up, as shown in the figure to the left.)
- [Image] ([Image] | Move the square 2 spaces to the left and 3 spaces up, as shown in the figure to the left.)
- [Image] ([Image] | Move the square 2 spaces to the left and 3 spaces up, as shown in the figure to the left.)
A: [Image]

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

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 right of Figure 1. You should slide Figure 1 up and to the right.)
- Slide Figure 1 down and to the right. (Figure 2 is above and to the right of Figure 1. You should slide Figure 1 up and to the right.)
- Slide Figure 1 up and to the left. (Figure 2 is above and to the right of Figure 1. You should slide Figure 1 up and to the right.)
- Slide Figure 1 up and to the right. (Figure 2 is above and to the right of Figure 1. You should slide Figure 1 up and to the right.)
A: Slide Figure 1 up and to the right.

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

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

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

Q: Which shows a 180-degree turn of the triangle?
[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 turn of 180 degrees. [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 turn of 180 degrees. [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 turn of 180 degrees. [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 turn of 180 degrees. [Image])
A: [Image]

Q: Ling 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 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 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: a flip

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

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

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

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)

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

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

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

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

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

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