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Question 6 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY

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

Answer

Image with description Two triangles share side C E. Point N is to the left of side C E, and point D is to the right. Segments C N and C D have matching double tick marks, segments N E and E D have matching single tick marks, and right-angle markers are shown at N and D.

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.

Image with description Two triangles share point D. Triangle C E D extends upward from D, with C above D and E to the left. Triangle M D P extends down and right from D, with M at the lower left and P to the right. Segments C D and D M have matching double tick marks, segments E D and D P have matching single tick marks, and right-angle markers are shown at D for both triangles.

Image with description Two triangles share point C. Triangle C E D extends downward from C, with E at the lower left and D at the lower right. Triangle C P N extends up and right from C, with P at the upper right and N at the right. Segments C D and C 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.

Explanation

A translation slides a figure without turning or flipping it, so corresponding vertices must have the same orientation. In choice B, both triangles have the top vertex above the two lower vertices, with the marked sides matching in the same arrangement. The other choices show triangles on opposite sides of a shared side or point, so they are reflected or rotated rather than translated.

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