Triangle Congruence: SAS — Quiz

Question 1

Two rigid transformations are used to map triangle HJK to triangle LMN The first is a translation of vertex cap h to vertex cap l What is the second transformation?

Revolt · Accepted Answer

a rotation about point cap h

Question 2

Which of these triangle pairs can be mapped to each other using a single translation?

Revolt · Accepted Answer

Image with description Triangles C E D and M P N are congruent. Triangle C E D is shifted to the right to form triangle M P N.

Question 3

Which of these triangle pairs can be mapped to each other using a single reflection?

Revolt · Accepted Answer

Image with description Triangles F E G and F L G are congruent. Triangle F E G is reflected across line F G to form triangle F L G.

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

Which rigid transformation would map triangle AQR to triangle AKP ?

Revolt · Accepted Answer

a rotation about point cap A

Question 7

What is the missing statement in the proof?

Revolt · Accepted Answer

angle ACB is congruent to angle ECD

Question 8

What additional information is needed to prove △QRS≅△XYZ by SAS? Enter your answers in the boxes.

Revolt · Accepted Answer

QS≅XZ|QR≅XY

Question 9

Two rigid transformations are used to map triangle HJK to triangle LMN The first is a translation of vertex cap h to vertex cap l What is the second transformation?

Revolt · Accepted Answer

a rotation about point cap h

Question 10

Can it be concluded that triangle RQS is congruent to triangle NTV by SAS? Why or why not?

Revolt · Accepted Answer

No, it is necessary to know that another set of corresponding sides is congruent.

Triangle Congruence: SAS — Quiz Answers

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