Question

d. explain how you know it is a reduction.
triangle abc is a reduction because the shape is
, but its size is
.
the angle measures are
and the
side lengths are
.

Explanation:

In a reduction (a type of dilation with a scale factor between 0 and 1), the transformed figure (triangle \( A'B'C' \)) has the same shape as the original (so "congruent in shape" or "similar" in terms of shape properties), but a smaller size. For similar figures (which a reduction produces), the angle measures remain the same (because similarity preserves angle measures), and the side lengths are proportional but shorter (since the scale factor is less than 1, so side lengths are multiplied by a factor less than 1, making them smaller). So the first dropdown is "the same" (shape), second is "smaller" (size), third is "the same" (angle measures), fourth is "smaller" (side lengths).

Answer:

First dropdown: the same
Second dropdown: smaller
Third dropdown: the same
Fourth dropdown: smaller