Triangle Congruence: ASA and AAS

Question 1

Can you conclude that triangle GHF is congruent to triangle GJK? Explain.

Revolt · Accepted Answer

D: not enough information given

Question 2

During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.

Revolt · Accepted Answer

A: Marcus is correct.

Question 3

Are the triangles congruent? If so, how do you know?

Revolt · Accepted Answer

C: yes, because of ASA or AAS

Question 4

Isabelle proves that the triangles are congruent by using the parallel lines to determine a second set of angles are congruent. What statement and reason could she have used?

Revolt · Accepted Answer

C: ∠ABC ≅ ∠DCB; alternate interior angles of parallel lines are congruent

Question 5

Determine the rigid transformations that will map ΔABC to ΔXYZ.

Revolt · Accepted Answer

D: Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

Question 6

Sample Response: To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence. What did you include in your response? Check all that apply.Congruent, corresponding side lengths are needed.The triangles need corresponding, congruent sides to be congruent.Once congruent sides are known, the AS

Revolt · Accepted Answer

A: Congruent, corresponding side lengths are needed.; B: The triangles need corresponding, congruent sides to be congruent.; C: Once congruent sides are known, the ASA or AAS congruence theorems or rigid transformations can be used to prove congruence.

Question 7

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

PENDING

Question 8

Question 8

Revolt · Accepted Answer

It is given that angle LNO is congruent to angle and angle OLN is congruent to angle . We know that side LN is congruent to side LN because of the . Therefore, because of , we can state that triangle : MLN; It is given that angle LNO is congruent to angle and angle OLN is congruent to angle . We know that side LN is congruent to side LN because of the . Therefore, because of , we can state that triangle : reflexive property; It is given that angle LNO is congruent to angle and angle OLN is congruent to angle . We know that side LN is congruent to side LN because of the . Therefore, because of , we can state that triangle : ASA

Question 9

It is given that angle LNO is congruent to angle and angle OLN is congruent to angle . We know that side LN is congruent to side LN because of the . Therefore, because of , we can state that triangle LNO is congruent to triangle LNM.

Revolt · Accepted Answer

A: LNM

Question 10

LNM LON LMN ✔ MLN

Revolt · Accepted Answer

D: MLN

Triangle Congruence: ASA and AAS Answers

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