AnswersCR CCSS Math 2 S2 M2960OXTriangle Similarity: AA

Triangle Similarity: AA (Sec 7-3, 7-4) Answers

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rotation of 90 degrees about Breflection across ABdilation with center Ctranslation left

A
rotation of 90 degrees about B
B
reflection across AB
C
dilation with center C
D
translation left
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YXVXVYWVZ

A
YXV
B
XVY
C
WVZ
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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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angle FHG is congruent to angle GJKangle HFG is congruent to angle GKJangle 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
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SSS similarity theoremASA similarity theoremAA similarity theoremSAS similarity theorem

A
SSS similarity theorem
B
ASA similarity theorem
C
AA similarity theorem
D
SAS similarity theorem
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Which similarity transformation could map △DEF to △D'E'F'?

A
dilation and reflection
B
dilation and translation
C
rotation and dilation
D
rotation and reflection
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Triangle XYZ was reflected across m and then dilated to form a similar triangle. Which triangle represents the image?

A
[Image: Triangle X Y Z is reflected across line m. It is r...]
B
[Image: Triangle X Y Z is reflected across line m and then...]
C
[Image: Triangle X Y Z is reflected across line m to form ...]
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What additional information could be used to prove that △ABC ~ △NML? Check all that apply.

A
∠B ≅ ∠M
B
△ABC is a right triangle.
C
△ABC was rotated and dilated by a scale factor between 0 and 1.
D
△ABC was translated right and down.
E
∠C ≅ ∠L
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Melissa believes that the AA similarity theorem can prove that the triangles are similar. Which fact would be necessary in the proof?

A
△ABC is an acute triangle.
B
△TRS is larger than △ABC.
C
The sum of the measures of the interior angles of a triangle is 180°.
D
The sum of the side lengths of two sides of a triangle is greater than the third side length.
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vertical angles are congruentall right angles are congruentcorresponding angles are congruentalternate interior angles are congruent

A
vertical angles are congruent
B
all right angles are congruent
C
corresponding angles are congruent
D
alternate interior angles are congruent

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