Triangle Similarity: AA Answers

10 verified answers2 views
1
Free Preview

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: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
3

rightvertical✔ congruent

A
right
B
vertical
C
✔ congruent
4

corresponding✔ verticalsupplementary

A
corresponding
B
✔ vertical
C
supplementary
5

SSS✔ AAHL

A
SSS
B
✔ AA
C
HL
112460

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

Answers:
The second transformation mapping △A'B'C' to △A''B''C' is a .:dilation with center C'
112461

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
112476

Given: FH ⊥ GH; KJ ⊥ GJ

Answers:
♣ = ♦ = ♠ =:all right angles are congruent
♣ = ♦ = ♠ =:angle FGH is congruent to angle KGJ
♣ = ♦ = ♠ =:AA similarity theorem
112477

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
112478

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

Did you find these answers helpful?