Similar triangles:
Similar triangles have two important properties:
1. The corresponding sides of the triangles are proportional.
2. The corresponding angles of the triangles are congruent.
Let us analyze each of the given options.
1. The measurements of corresponding angles differ between the two triangles.
False, since the corresponding angles must be congruent.
2. Two triangles are similar if their corresponding sides are proportional.
True, since the corresponding sides are proportional in similar triangles.
3. If two triangles are similar, both their corresponding sides and angles are always congruent.
False, since only the angles need to be always congruent not the sides.
4. Similar triangles differ in shape but are the same in size.
False, since similar triangles are the same shape, but not necessarily the same size.
