AnswersGeometryRelationships of Triangles: Congruence

Relationships of Triangles: Congruence — Test Answers

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Could triangle JKL be congruent to triangle XYZ ? Explain.

A
Yes, if XZ is equal to 10 .
B
No, because the leg of one triangle is equal in length to the leg of the other triangle.
C
No, because the hypotenuse of one triangle is equal in length to the leg of the other triangle.
D
Yes, if line segment JL is congruent to line segment XZ .
24

Which statements regarding the diagram of triangle EBC are true? Choose three correct answers.

A
angle BCF and angle DEC are supplementary angles.
B
angle DEC is an exterior angle.
C
angle BEC is an exterior angle.
D
angle ABE and angle EBC are supplementary angles.
E
angle BEC is a remote interior angle to exterior angle BCF .
25

Is there a series of rigid transformations that could map triangle QRS to triangle ABC ? If so, which transformations could be used?

A
Yes, triangle QRS can be translated so that cap r is mapped to cap b and then rotated so that cap s is mapped to cap c .
B
No, triangle QRS and triangle ABC are not congruent.
C
Yes, triangle QRS can be translated so that cap q is mapped to cap A and then reflected across the line containing line segment QS .
D
No, triangle QRS and triangle ABC are congruent but triangle QRS cannot be mapped to triangle ABC using a series rigid transformations.

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