Triangle Similarity: AA Answers

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1
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Which sequence of similar transformations could map △ABC onto △A'B'C'?

A
dilation and reflection
B
dilation and translation
C
translation and rotation
D
translation and reflection
2
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angle FHG is congruent to angle GJKangle HFG is congruent to angle GKJ✔ angle FGH is congruent to angle KGJangle GFH is congruent to angle GJK

A
angle FHG is congruent to angle GJK
B
angle HFG is congruent to angle GKJ
C
✔ angle FGH is congruent to angle KGJ
D
angle GFH is congruent to angle GJK
3

SSS similarity theoremASA similarity theorem✔ AA similarity theoremSAS similarity theorem

A
SSS similarity theorem
B
ASA similarity theorem
C
✔ AA similarity theorem
D
SAS similarity theorem
4

corresponding✔ verticalsupplementary

A
corresponding
B
✔ vertical
C
supplementary
5

SSS✔ AAHL

A
SSS
B
✔ AA
C
HL
112466

Use the drop-down menus to complete the paragraph proof.

Answers:
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:YXV
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:WZV
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:congruent
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:vertical
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle and angle are alternate interior angles. Since XY is parallel to ZW, we know that these angles are . We:AA
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Given: FH ⊥ GH; KJ ⊥ GJ

Answers:
♣ = ♦ = ♠ =:all right angles are congruent
♣ = ♦ = ♠ =:angle FGH is congruent to angle KGJ
♣ = ♦ = ♠ =:AA similarity theorem

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