Question 1

Question

A)
Use the image to answer the question.

Two congruent triangles.

Investigate the patterns of the two triangles to determine which theorem proves that they are congruent.

(1 point)
Responses

ASA Theorem
ASA Theorem

SSS Theorem
SSS Theorem

HL Theorem
HL Theorem

SAS Theorem
SAS Theorem
Question 2
A)
Use the image to answer the question.

Two congruent right triangles.

Which theorem proves the triangles are congruent?

(1 point)
Responses

HL Theorem
HL Theorem

ASA Theorem
ASA Theorem

SAS Theorem
SAS Theorem

SSS Theorem
SSS Theorem
Question 3
A)If ∠X≅∠L, ∠P≅∠M, ∠A≅∠K, PA¯¯¯¯¯¯¯¯≅MK¯¯¯¯¯¯¯¯¯¯, AX¯¯¯¯¯¯¯¯≅KL¯¯¯¯¯¯¯¯, and XP¯¯¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯¯¯, which option below shows a correct congruence statement?(1 point)
Responses

△XPA≅△MKL
triangle upper X upper P upper A congruent to triangle upper M upper K upper L

△PAX≅△MKL
triangle upper P upper A upper X congruent to triangle upper M upper K upper L

△PAX≅△KLM
triangle upper P upper A upper X congruent to triangle upper K upper L upper M

△XPA≅△KLM
triangle upper X upper P upper A congruent to triangle upper K upper L upper M
Question 4
A)Given △TRS≅△VXW, which of the following corresponding pairs is correct?(1 point)
Responses

TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯¯
Modifying above upper T upper R with bar congruent to Modifying above upper V upper W with bar

RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯
Modifying above upper R upper S with bar congruent to Modifying above upper V upper X with bar

∠T≅∠W
angle upper T congruent to angle upper W

ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯
Modifying above upper S upper T with bar congruent to Modifying above upper W upper V with bar
Question 5
A)
Use the image to answer the question.

Two acute scalene triangles of equal dimensions and the same orientation. Triangle upper K upper B upper P is in the upper left, and triangle upper A upper Q upper L is in the lower right.

To prove the triangles are congruent, which of the following rigid motions would map △PBK to △LQA?

(1 point)
Responses

translation along the vector so that point B maps to point A
translation along the vector so that point upper B maps to point upper A

rotation of 180° (counterclockwise) about point B
rotation of 180 degrees (counterclockwise) about point upper B

translation along the vector so that point B maps to point Q

Answer 1

Here are the responses for your questions:

Question 1

Answer: ASA Theorem

Question 2

Answer: HL Theorem

Question 3

Answer: △XPA≅△MKL (triangle upper X upper P upper A congruent to triangle upper M upper K upper L)

Question 4

Answer: ∠T≅∠W (angle upper T congruent to angle upper W)

Question 5

Answer: translation along the vector so that point B maps to point A (translation along the vector so that point upper B maps to point upper A)

Please double-check the images corresponding to each question as they may provide additional context that might influence the answers.