Question

student activities
november 5, 2025
hisd
student activity pages
do now: polygon abcd was dilated to create polygon mnop as shown.
list the corresponding angles and sides of the polygons.
corresponding angles:
corresponding sides:
similar figures:
two figures are similar if one can be obtained from the other through a dilation using scale
factors.
determine scale factor using side lengths.
how to determine the scale factor using
the side lengths.
divide the length of the image by the
length of the preimage.
example:
corresponding angles are congruent.
properties of similar figures
corresponding sides are proportional.

• corresponding angles are _________
• corresponding sides are _________

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Explanation:

When two figures are similar (such as polygon ABCD and MNOP which are related by dilation), for corresponding angles, by the definition of similar figures, they have the same measure (congruent). For corresponding sides, since dilation is a transformation that scales the figure, the sides of the similar figures are in proportion (proportional).

Answer:

Corresponding angles are congruent. Corresponding sides are proportional.