Triangle Congruence: ASA and AAS Answers
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The proof ABC ≅ DCB that is shown.Given: A ≅ D; CD||ABProve: ABC ≅ DCB
A
alt. ext. s are ≅
B
ASAC
AASD
corr. int. s are ≅2
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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 Z3
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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