AnswersAZ-Geometry A MA201Triangles and Their Side Lengths

Triangle Congruence: SAS Answers

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21
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The proof that ΔACB ≅ ΔECD is shown.Given: AE and DB bisect each other at C.Prove: ΔACB ≅ ΔECD

Question illustration
A
∠BAC ≅ ∠DEC
B
∠ACD ≅ ∠ECB
C
∠ACB ≅ ∠ECD
D
∠BCA ≅ ∠DCA
22
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Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing AB?

A
Triangles X Y Z and A B C are congruent. Triangle X Y Z is reflected across a line to form triangle A B C. It is also slightly higher than triangle A B C.
Option A
B
Triangles A B C and A Y C are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.
Option B
C
Triangles A B C and X Y Z are congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C.
Option C
D
Triangles A B C and X Y Z are congruent. Triangle A B C is rotated to the right to form triangles X Y Z. Triangle X Y Z is also higher and to the right of triangle A B C.
Option D
23

Triangles J K L and M N R are shown.

Question illustration
A
∠J ≅ ∠M
B
∠L ≅ ∠R
C
∠K ≅ ∠N
D
∠R ≅ ∠K
24

The proof that is shown. Select the answer that best completes the proof.Given: ΔMNQ is isosceles with base , and and bisect each other at S.Prove:

Question illustration
A
NS and QS
B
NS and RS
C
MS and RS
D
MS and QS

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