AnswersGCSS_GA-Geometry Concepts and Connections_ICReflections

Triangle Congruence: SAS Answers

0 verified answers
1
Free Preview

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
B
a reflection across the line containing AR
C
a reflection across the line containing AQ
D
a rotation about point R
2
Free Preview

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
B
a rotation about point H
C
a reflection across the line containing HJ
D
a rotation about point K
3

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.
4

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

A
Triangles C E D and C N P are congruent. Triangle C E D is rotated about point C and then reflected across a line to form triangle C N P.
Option A
B
Triangles C N E and C E D are congruent. Triangle C N E is reflected across a line and then rotated slightly to form triangle C E D.
Option B
C
Triangles C E D and M D P are congruent. Triangle M D P is rotated and shifted up to form triangle C E D.
Option C
D
Triangles C E D and M P N are congruent. Triangle C E D is shifted to the right to form triangle M P N.
Option D
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
Translate H to L and rotate about H until HK lies on the line containing LM.
B
Translate K to M and rotate about K until HK lies on the line containing LM.
C
Translate K to N and rotate about K until HK lies on the line containing LN.
D
Translate H to N and rotate about H until HK lies on the line containing LN.
6

Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C?

A
Triangles X Y C and A B C are shown. Both triangles are congruent and share common point C. Triangle A B C is slightly lower than triangle X Y C.
Option A
B
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is identical to triangle A B C but is slightly higher.
Option B
C
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is reflected across a line to form triangle A B C.
Option C
D
Triangles X Y Z and A B C are shown. Both triangles are congruent. Triangle X Y Z is rotated down and to the left to form triangle A B C. It is also slightly higher than triangle A B C.
Option D
7

The proof that ΔEFG ≅ ΔJHG is shown.Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ.Prove: ΔEFG ≅ ΔJHG Statement Reason1.G is the midpoint of HF1.given2.FG ≅ HG2.def. of midpoint3.EF ∥ HJ3.given4.?4.alt. int. angles are congruent5.EF ≅ HJ5. given6.ΔEFG ≅ ΔJHG6.SAS

Question illustration
A
∠FEG ≅ ∠HJG
B
∠GFE ≅ ∠GHJ
C
∠EGF ≅ ∠JGH
D
∠GEF ≅ ∠JHG
8

Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing AB?

A
Triangles X Y Z and A B C are congruent. Triangle X Y Z is reflected across a line to form triangle A B C. It is also slightly higher than triangle A B C.
Option A
B
Triangles A B C and A Y C are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.
Option B
C
Triangles A B C and X Y Z are congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C.
Option C
D
Triangles A B C and X Y Z are congruent. Triangle A B C is rotated to the right to form triangles X Y Z. Triangle X Y Z is also higher and to the right of triangle A B C.
Option D
9

The proof that is shown. Select the answer that best completes the proof.Given: ΔMNQ is isosceles with base , and and bisect each other at S.Prove:

Question illustration
A
NS and QS
B
NS and RS
C
MS and RS
D
MS and QS
10

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

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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Translations

Quiz
10 verified answers

Rotations

Quiz
10 verified answers

Symmetry