Title: Chapter 5/ triangles
Course: quiz duplicate error

Q: Which segment is the shortest possible distance from point D to plane P?
[Image]
- [Image] (The shortest possible distance from point D to plane P is a straight line perpendicular to plane P through point D.)
- [Image] (The shortest possible distance from point D to plane P is a straight line perpendicular to plane P through point D.)
- [Image] (The shortest possible distance from point D to plane P is a straight line perpendicular to plane P through point D.)
- [Image] (The shortest possible distance from point D to plane P is a straight line perpendicular to plane P through point D.)
A: [Image]

Write a two-column proof.

If [Image] is a median of isosceles [Image], then [Image].
[Image]

Write a two-column proof.

If [Image] and [Image], then [Image].
[Image]

Write an indirect proof.

Given: [Image] is a perpendicular bisector of [Image].
Prove: [Image] is isosceles
[Image]

Write an indirect proof.

Given: [Image], [Image]
Prove: [Image]
[Image]

Write a two-column proof.

Given: [Image]
Prove: [Image]
[Image]

Write a two-column proof.

Given: [Image], [Image]
Prove: [Image]
[Image]

Write an indirect proof.

Given: [Image] is an even number
Prove: n is an even number

Write an indirect proof.

Given: [Image] is a perpendicular bisector of equilateral triangle [Image].
Prove: [Image]
[Image]

Write an indirect proof.

Given: [Image] is a perpendicular bisector of equilateral triangle [Image]. [Image] is a median of [Image].
Prove: [Image]
[Image]

Greg baby-sits his two neighbors after school three days per week. He is paid $15 per day.
a.      Graph the amount of money that Greg accumulates for babysitting.
b.      Use the slope of the line to write an argument that the line intersects the $120 line at [Image].
c.      What does the point [Image] represent?
d.      Greg is saving for a $360 electric scooter. Use the slope of the line to find out how many weeks it will take him to save this much. Show your work.

Write an indirect proof.

Given: A is the midpoint of BF and CD.
Prove: [Image]
[Image]

Write an indirect proof.

Given: [Image].
Prove: [Image]
[Image] [Image]

Write a two-column proof.

Given: [Image], [Image] bisects [Image]
Prove: [Image]
[Image]

Write a two-column proof.

If [Image] is a median and a perpendicular bisector of [Image], then [Image].
[Image]

The vertices of a triangle are [Image].
a.      Graph the triangle.
b.      Use the Distance Formula to find the length of each side to the nearest tenth.
c.      [Image] is a median of the triangle. What are the coordinates of point O? Explain.
d.      Graph median [Image].

Write an indirect proof.

Given: [Image]
Prove: [Image]

Write an indirect proof.

Given: [Image] with angle measures as shown.
Prove: [Image]
[Image]