Integrated Math 1 B Semester Exam

Question

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Question


Two triangles and a line are graphed on a four-quadrant coordinate plane with unlabeled axes. The line passes through point A in quadrant 2, point B in quadrant 4, and also passes through quadrant 3. Triangle C D E is located below the line A B in quadrant 3, where points C and E are both approximately the same distance from line A B, and D is farther away. Going counterclockwise from the uppermost vertex, the order of the vertices is C D E. Triangle C prime D prime E prime has vertices C prime and D prime in quadrant 1 and vertex E prime in quadrant 4, all above the line A B. Point E prime is the closest to line A B, then point D prime, then point C prime. Going counterclockwise from the uppermost vertex, the order of the vertices is C prime, E prime, D prime.
The given image depicts a transformation performed on △CDE to get its image. Which of the following transformations were performed on △CDE?

(1 point)
Responses

a reflection across AB←→ followed by a translation
a reflection across Modifying above upper A upper B with two-way arrow followed by a translation

a reflection across AB←→ followed by a rotation about the origin
a reflection across Modifying above upper A upper B with two-way arrow followed by a rotation about the origin

a translation followed by a reflection across AB←→
a translation followed by a reflection across Modifying above upper A upper B with two-way arrow

a rotation about the origin followed by a reflection across AB←→

Answer 1

The correct answer is:

a reflection across AB←→ followed by a translation