Question 7 • CMS 2026-2027 NC Math 2 CREDIT RECOVERY
Which of these triangle pairs can be mapped to each other using both a translation and a rotation about cap c ?
Answer
A
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 X is at the peak, vertex Y is at the bottom left containing a right-angle marker, and vertex Z is at the bottom right. Segment X Y is nearly vertical, segment Y Z slants downwards to the right, while segment X Z slants downward from upper left to lower 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.
B
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.
C
Image with description Two separate triangles are shown, with the top triangle X Y Z positioned directly above an identically oriented triangle A B C. In the top triangle, segment X Z forms a perfectly horizontal top border, while vertex Y is located below it, containing the right-angle marker. Segment X Y slants downward to the right, and segment Y Z slants upward 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.
D
Image with description Triangle X Y C and triangle A B C are joined together, sharing vertex C. In the upper triangle, vertex X is at the peak, vertex Y is at the bottom left containing a right-angle marker, and vertex C is at the bottom right. Segment X Y is nearly vertical, segment Y C slants downwards to the right, while segment X C slants downwards from the upper left to the lower right. In the lower triangle, segment A C forms a perfectly horizontal top border extending left from the shared vertex C, 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 C and B C have matching double tick marks.