Pretest

Question 1

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 2

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 3

Translate vertex cap w to vertex cap m , then reflect across the line containing _______________.

Revolt · Accepted Answer

line segment WX

Question 4

Which rigid transformation would map triangle AQR to triangle AKP ?

Revolt · Accepted Answer

a rotation about point cap A

Question 5

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

Revolt · Accepted Answer

Image with description Two triangles, E F G and L F G, share side F G. Point E is above and left of side F G, and point L is below side F G. Segment E F and segment L F have matching single tick marks. Segment E G and segment L G have matching double tick marks. Angles E and L have matching single arc marks.

Question 6

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

Revolt · Accepted Answer

Image with description Two separate triangles are shown. In triangle C E D, C is at the top, E is at the lower left, and D is at the lower right. In triangle M P N, M is at the top, P is at the lower left, and N is at the lower right. Segments C D and M N have matching double tick marks, segments E D and P N have matching single tick marks, and right-angle markers are shown at D and N.

Question 7

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 Two separate triangles are shown, with the top triangle X Y Z positioned directly above triangle A B C. In the top triangle, vertex Y is at the peak containing a right-angle marker, while segment X Z forms a perfectly horizontal bottom base below it. Segment X Y slants upward to the right, and segment Y Z slants downward to the right. In the bottom triangle, segment A C forms a perfectly horizontal top border, while vertex B is located below it, containing the right-angle marker. Segment A B slants downward to the right, and segment B C slants upward to the right. Segments X Y and A B have matching single tick marks, and segments Y Z and B C have matching double tick marks.

Question 8

Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing line segment AB ?

Revolt · Accepted Answer

Image with description Two triangles are shown. Points X, A, Y, and B lie on the same vertical line, in that order from top to bottom. Point Z is to the left of the line, and point C is to the right. Segments X Z and A C have matching double tick marks, segments Y Z and B C have matching single tick marks, and angles Z and C have matching arc marks.

Question 9

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 10

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

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