Triangle Congruence: ASA and AAS Answers
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1
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Which of these triangle pairs can be mapped to each other using a reflection and a translation?
A
Triangles L R K and A R Q are connected at point R. Triangle L R K is reflected across point R to form triangle A R Q.
B
Triangles L P K and Q R A are shown. Triangle L P K is reflected across a line to form triangle Q R A. Triangle Q R A is shifted to the right of triangle L P K.
C
Triangles L P K and Q R A are shown. Triangle L P K is shifted down and to the left to form triangle Q R A.
D
Triangles L P K and Q R A are shown. Triangle L P K is rotated to form triangle Q R A. Triangle Q R A is also shifted to the right.
2
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Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
A
Triangles Q R A and K P A are connected at point A. Triangle K P A is rotated to form triangle Q R A.
B
Triangles Q R A and K P L are shown. Triangle Q R A is reflected and then shifted to the right to form triangle K P L.
C
Triangles Q R A and K P L are shown. Triangle Q R A is reflected and then shifted to the right to form triangle K P L.
D
Triangles Q R A and K P L are shown. Triangle Q R A is rotated about point A and then is shifted down and to the left to form triangle K P L.
3
Triangles M Z K and Q Z K share side Z K. Angles M K Z and Z K Q are congruent. Angles K Z M and K Z Q are both right angles.
A
a rotation about point KB
a reflection across the line containing MZC
a reflection across the line containing ZKD
a rotation about point Z4
Which of these triangle pairs can be mapped to each other using two reflections?
A
Triangles X Y Z and P Y T are connected at point Y. Triangle X Y Z is reflected across X Y and then is reflected another time across Y Z to form triangle P Y T.
B
Triangles X Y Z and A Y T are connected at point Y. Triangle X Y Z is reflected 3 times to form triangle A Y T.
C
Triangles X Y Z and A Y T are connected at point Y. Triangle X Y Z is reflected across side X Y and then is shifted down to form triangle A Y T.
D
Triangles X Y Z and A Z T are connected at point Z. Triangle X Y Z is reflected and then rotated to form triangle A Z T.
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