- The three triangles shown are similar, meaning their corresponding angles are equal and their corresponding sides are proportional.
- The angles labeled x, y, and z appear in the same relative positions in each triangle, confirming that they are corresponding angles.
- Because the triangles are similar, the ratios of their corresponding side lengths are equal.
- The first proportion, a/d = b/e = c/f, relates the sides of the first triangle to the second triangle based on the order of corresponding vertices (angle x opposite side a and d, angle y opposite side c and f, angle z opposite side b and e).
- The second proportion, a/p = b/q = c/r, relates the sides of the first triangle to the third triangle using the same correspondence (angle x opposite side a and p, angle y opposite side c and r, angle z opposite side b and q).
Parent Tip: Review the logic above to help your child master the concept of similar triangles.
