Triangle Congruence: ASA and AAS Answers
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Triangles A C B and M Q R are shown. Sides A B and M R are congruent. Angles C A B and M R Q are 42 degrees. Angle C B A is 53 degrees. Angle M Q R is 85 degrees.
A
Yes, all the angles of each of the triangles are acute.B
Yes, they are congruent by either ASA or AAS.C
No, B is not congruent to Q.
D
No, the congruent sides do not correspond.2
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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.
3
Given: and are right angles; ; Prove:
A
ASA congruence theorem.B
AAS congruence theorem.C
third angle theorem.D
reflexive property.4
Triangles L K N and P Q M are shown. Sides K L and Q P are congruent. Angles L K N and P Q M are right angles.
A
NL ≅ MPB
NK ≅ MQC
N ≅ MD
L ≅ P5
Which shows two triangles that are congruent by AAS?
A
2 right triangles are connected at one side. The triangles have 1 congruent side and 2 congruent angles. The second triangle is a reflection of the first triangle.
B
2 triangles are connected at one side. The triangles have 2 congruent sides and 1 congruent angle. The first triangle is rotated to form the second triangle.
C
2 triangles are connected at one side. All sides are congruent.
D
2 triangles are connected at one side. The triangles have 2 congruent sides and 1 congruent angle. The first triangle is rotated and then translated down to form the second triangle.
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