Question

I NEED HELP ASAP. 35 POINTS. In order for two polygons to be similar, two conditions must be met. First, all pairs of corresponding sides must be in proportion. Second, all corresponding angles must be congruent. Prove that angle congruence is not enough, by itself, to establish that two polygons are similar. Do this by describing or drawing two polygons that are not similar but whose corresponding angles are all congruent.

Answer 1

Draw a square with side length of 4. All four angles are 90 degrees and all four sides are 4.

Then draw a rectangle with length of 9 and with of 2. All four angles would be 90 degrees, but the proportion of the 2 sides are different when compared to the sides of the square.