AnswersSSHS Geometry Sem 1 IMA 301Triangle Similarity: AA

Triangle Similarity: AA Answers

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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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Determine the similarity transformations that verify △ABC ~ △A''B''C'.

Answers:
The first transformation mapping △ABC to △A'B'C' is a .:translation left
The second transformation mapping △A'B'C' to △A''B''C' is a .:dilation with center C'
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rotation of 90 degrees about B'reflection across A'B'✔ dilation with center C'translation left

A
rotation of 90 degrees about B'
B
reflection across A'B'
C
✔ dilation with center C'
D
translation left
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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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YVXZVW✔ WZV

A
YVX
B
ZVW
C
✔ WZV
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rightvertical✔ congruent

A
right
B
vertical
C
✔ congruent
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corresponding✔ verticalsupplementary

A
corresponding
B
✔ vertical
C
supplementary
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SSS✔ AAHL

A
SSS
B
✔ AA
C
HL
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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 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
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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

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