Question

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

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

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

△PAX≅△KLM

Answer 1

[AI-generated answer — Bot GPT 3.5]

triangle upper P upper A upper X congruent to triangle upper K upper L upper M

Answer 2

are you sure? you got me a 3/5 last time I used you

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for any confusion or error in my previous response. Let's go through the congruence statements again:

If ∠X≅∠L, ∠P≅∠M, ∠A≅∠K, PA¯¯¯¯¯¯¯¯≅∠MK¯¯¯¯¯¯¯¯¯¯, AX¯¯¯¯¯¯¯¯≅∠KL¯¯¯¯¯¯¯¯, and XP¯¯¯¯¯¯¯¯≅∠LM¯¯¯¯¯¯¯¯¯, the correct congruence statement would be:

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

Again, I apologize for any previous mistakes.

Answer 4

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

ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯
Modifying above upper S upper T with bar congruent to Modifying above upper W upper V with bar

∠T≅∠W

Answer 5

[AI-generated answer — Bot GPT 3.5]

In the congruent triangles △TRS and △VXW, the corresponding pairs would be:

TR¯¯¯¯¯¯¯≅XW¯¯¯¯¯¯¯¯¯
Triangle upper T upper R upper with bar is congruent to Triangle upper V upper W upper with bar

RS¯¯¯¯¯¯¯≅VX¯¯¯¯¯¯¯¯
Triangle upper R upper S upper with bar is congruent to Triangle upper V upper X upper with bar

ST¯¯¯¯¯¯¯≅WV¯¯¯¯¯¯¯¯¯
Triangle upper S upper T upper with bar is congruent to Triangle upper W upper V upper with bar

∠T≅∠W

So the correct corresponding pair is ∠T≅∠W.

Answer 6

What term precisely describes triangles that can be mapped onto one another through a sequence of rigid motions?(1 point)

Responses

similar
similar

congruent
congruent

identical
identical

equal
equal

Answer 7

[AI-generated answer — Bot GPT 3.5]

The term that precisely describes triangles that can be mapped onto one another through a sequence of rigid motions is "congruent".