To determine whether pairs of polygons are similar, we need to check if they have the same shape, which means their corresponding angles are equal, and their corresponding sides are in proportion.
Here are some pairs of polygons to consider:
- Triangle A and Triangle B: If Triangle A has angles of 30°, 60°, and 90°, and Triangle B has angles of 30°, 60°, and 90°, these triangles are similar.
- Quadrilateral C and Quadrilateral D: If Quadrilateral C’s angles measure 90°, 80°, 50°, and 140° and Quadrilateral D’s angles are also the same, then these quadrilaterals are similar.
- Rectangle E and Rectangle F: All rectangles are similar since they all have right angles, and their sides are in proportion.
In conclusion, to identify similar polygons, always compare their angles and check the ratios of their corresponding sides. This will help you select the correct pairs.