Triangle Congruence: SAS — Quiz

Question 1

In the diagram, line segment KL is congruent to line segment NR and line segment JL is congruent to line segment MR What additional information is needed to show triangle JKL is congruent to triangle MNR by SAS?

Revolt · Accepted Answer

angle liters is congruent to angle cap r

Question 2

We know that triangle MNQ is isosceles with base line segment MQ So, line segment MN is congruent to line segment QN by the definition of isosceles triangle. The base angles of the isosceles triangle, angle NMS and angle NQS , are congruent by the isosceles triangle theorem. It is also given that line segment NR and line segment MQ bisect each other at cap s Segments _______ are therefore congruent by the definition of bisector. Thus, triangle MNS is congruent to triangle QNS by SAS.

Revolt · Accepted Answer

MS and QS

Question 3

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

Revolt · Accepted Answer

Image with description 2 right triangles, X Y Z, and A B C, with right angles at Y and B, respectively, are shown. Side X Y is congruent to side A B. Side Y Z is congruent to side B C. Angle X Y Z is congruent to angle A B C. Triangle X Y Z is reflected across a line to form triangle A B C.

Question 4

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

Revolt · Accepted Answer

Image with description 2 right triangles, X Y Z, and A B C, with right angles at Y and B, respectively, are shown. Side X Y is congruent to side A B. Side Y Z is congruent to side B C. Angle X Y Z is congruent to angle A B C. Triangle X Y Z is reflected across a line to form triangle A B C.

Question 5

How can a translation and a rotation be used to map triangle HJK to triangle LMN ?

Revolt · Accepted Answer

Translate cap k to cap n and rotate about cap k until line segment HK lies on the line containing line segment LN .

Question 6

Two rigid transformations are used to map triangle ABC to triangle XYZ The first is a translation of vertex cap A to vertex cap x What is the second transformation?

Revolt · Accepted Answer

a reflection across the line containing line segment AB

Question 7

In the diagram, line segment KL is congruent to line segment NR and line segment JL is congruent to line segment MR What additional information is needed to show triangle JKL is congruent to triangle MNR by SAS?

Revolt · Accepted Answer

angle liters is congruent to angle cap r

Question 8

Which rigid transformation would map triangle AQR to triangle AKP ?

Revolt · Accepted Answer

a rotation about point cap A

Triangle Congruence: SAS — Quiz Answers

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