Question

question 1
which transformation changes the size of a polygon but preserves angle measures?
rotation
translation
reflection
dilation
question 2
how do you know two triangles are similar?
their angles are congruent and sides are proportional
their sides are equal and angles are different
only one angle matches

Explanation:

• Question 1:
• Rotation, translation, and reflection are rigid transformations. They preserve the size and shape of the polygon (i.e., side - lengths and angle measures).
• Dilation is a non - rigid transformation. It changes the size of the polygon (by a scale factor) but preserves the angle measures.
• Question 2:
• The definition of similar triangles is that their corresponding angles are congruent and their corresponding sides are proportional.
• If sides are equal and angles are different, the triangles are neither congruent (since angles are different) nor similar.
• If only one angle matches, we cannot conclude similarity (for triangles, we need at least two - angle congruence for similarity by the AA (Angle - Angle) criterion in the case of triangles, but in general, for polygons, all corresponding angles must be congruent and sides proportional).

Answer:

1. D. Dilation
2. Their angles are congruent and sides are proportional.