Title: proofs
Course: quiz duplicate error

Write a paragraph proof.

[Image] and [Image] are a linear pair. Prove that [Image].

Write a paragraph proof.

[Image] and [Image] are vertical. Prove that [Image].

Write a paragraph proof.

Adjacent angles [Image] and [Image]. Prove that point Q is in the interior of [Image].

Write a paragraph proof.

[Image] and [Image] intersect at point T. [Image]. Prove [Image].

Write a paragraph proof.

Regular hexagon ABCDFG; [Image]; [Image];  [Image] bisects [Image] and [Image] bisects [Image]. Prove: [Image].

Write a paragraph proof.

Parallel lines TU and VW. Line XY intersects line TU at point Z and intersects line VW at point S. [Image]. Prove [Image].

Write a paragraph proof.

Isosceles triangle GHJ. [Image] is a segment between points K and L on line KL. HG = JG. Prove [Image].
[Image]

Write a paragraph proof.

Equilateral triangle ABC with points H and D on line AC, I and F on line AB, and J and G on line BC. [Image]. Prove [Image].
[Image]

Write a paragraph proof.

[Image] all intersect at point P. [Image] and [Image]. Prove [Image].
[Image]

Write a paragraph proof.

Point C is on line [Image] and line [Image]. [Image] Prove [Image].
[Image]

Write a two-column proof.

If [Image], then [Image].

Write a two-column proof.

[Image] intersect at point X. [Image]. [Image]. Prove [Image].
[Image]

Write a two-column proof.

[Image] intersect at point X. Point X is the midpoint of both [Image]. [Image] is 4 units less than [Image]. If [Image] and [Image], prove [Image].
[Image]

Write a two-column proof.

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

Write a two-column proof.

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

Write a two-column proof.

Line KL is parallel to line NM. Line PQ is parallel to line TU. If [Image], then [Image].
[Image]

Write a two-column proof.

Regular hexagon ABCDFG; [Image] each bisect the hexagon and meet at point H. If [Image] and [Image], then [Image].
[Image]

Write a two-column proof.

If [Image] and [Image], then [Image].
[Image]2

Write a two-column proof.

[Image] intersect at S. [Image]. If [Image], then [Image].
[Image]

Write a two-column proof.

Segments MN, LT, PQ, and OR all intersect at point S. If [Image], prove [Image].
[Image]

Write a two-column proof.

[Image]. [Image] [Image]. [Image]. If [Image], prove [Image].
[Image] [Image]

Write a two-column proof.

[Image] are all parallel to each other. [Image], [Image]. Prove [Image].
[Image]

Write a two-column proof.

[Image]. Prove [Image].
[Image] [Image]

Given: [Image] and [Image] are supplementary angles. [Image], [Image].
Prove: [Image]

[Image]
Jan has a patio room behind her house. The 15 ft wall of the patio room is perpendicular to the house. Jan would like to create a triangular flower bed using the two walls as the legs of the triangle. If she has 25 ft of edging material to go along the hypotenuse of the triangle, how long is the other leg of the flower bed? Show your work.