21
QuizMultiple Choice

Similar Figures — Quiz

Question 21 • Geometry

What is true about the image triangle cap k prime cap l prime cap m prime ? Choose three correct answers.

Answer
A
line segment KM is shorter than line segment cap k prime cap m prime .
B
line segment LM is parallel to line segment cap l prime cap m prime .
C
cap d sub cap o comma 0 point 7 5 times open paren x comma y close paren is equal to open paren 0 point 7 5 x comma 0 point 7 5 y close paren
D
The distance from cap m prime to the origin is exactly half the distance from cap m to the origin.
E
The vertices of the image are closer to the origin than those of the pre-image.

Explanation

A dilation centered at the origin with scale factor 0.75 maps each point (x, y) to (0.75x, 0.75y), so statement C is true. A dilation preserves parallelism, making LM parallel to its image L′M′, so B is true. Because 0.75 is between 0 and 1, every image vertex is closer to the origin than its corresponding pre-image vertex, so E is true. The scale factor is not one-half, and the image side is shorter—not longer—than its corresponding original side, so D and A are false.

AI-written and checked against the verified answer.

Previous
Next