AnswersOC27 GEO-1206310-S1-Degele-VOL7006PIntroduction to Transformations

Triangle Congruence: SAS Answers

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Triangles RQS and NTV have the following characteristics:• Right angles at ∠Q and ∠T • RQ ≅ NTCan it be concluded that ΔRQS ≅ ΔNTV by SAS? Why or why not?

A
Yes, one set of corresponding sides and one corresponding angle are congruent.
B
Yes, they are both right triangles.
C
No, it is necessary to know that another set of corresponding sides is congruent.
D
No, it is not possible for the triangles to be congruent.
2
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Which of these triangle pairs can be mapped to each other using a single reflection?

Question illustration
A
Triangles F E G and F G L are congruent. Triangle F E G is reflected across line F G to form triangle F G L.
Option A
B
Triangles F E G and G L M are congruent. Triangle E F G is rotated about point G to form triangle G L M.
Option B
C
Triangles F E G and L M N are congruent. Triangle F E G is shifted down and to the right to form triangle L M N.
Option C
D
Triangles L M N and E F G are congruent. Triangle F E G is reflected across a line to form triangle L M N. Triangle L M N is also slightly higher and to the right of triangle E F G.
Option D
3

Triangles J K L and M N R are shown.

Question illustration
∠
∠J ≅ ∠M
∠
∠L ≅ ∠R
∠
∠K ≅ ∠N
∠
∠R ≅ ∠K
4

Parallelogram V W Z X is shown. Point Y is at the bottom center of the shape. Lines are drawn from points V to X through point Y and from points W to Z through point Y. 4 triangles are formed by the lines.

Question illustration
A
Yes, along with the given information, ZX ≅ ZX by the reflexive property.
B
Yes, the triangles are both obtuse.
C
No, the sides of the triangles intersect.
D
No, there is not enough information given.
5

Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K.

Question illustration
a
a reflection across the line containing HK
a
a rotation about point H
a
a reflection across the line containing HJ
a
a rotation about point K
6

Triangles A Q R and A K P share point A. Triangle A Q R is rotated up and to the right for form triangle A Q R.

Question illustration
a
a rotation about point A
a
a reflection across the line containing AR
a
a reflection across the line containing AQ
a
a rotation about point R
7

Which of these triangle pairs can be mapped to each other using a single translation?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Triangles A B C and X Y Z is congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C. Triangle A B C is reflected across a line to form triangle X Y Z.

Question illustration
a
a reflection across the line containing AB
a
a reflection across the line containing AC
a
a rotation about point A
a
a rotation about point B
9

How can ΔWXY be mapped to ΔMNQ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

both

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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