When polygons are similar (~), they have the same shape but not necessarily the same size.
The corresponding angles will be congruent, and the corresponding sides will be proportional. In the diagram below, notice the ratio between sides is 3/2. This means that each side of ∆ABC is multiplied by 3/2, or 1.5, to get the corresponding sides of ∆EFG. The similarity statement works like the congruency statement. The corresponding parts must match.
The corresponding angles will be congruent, and the corresponding sides will be proportional. In the diagram below, notice the ratio between sides is 3/2. This means that each side of ∆ABC is multiplied by 3/2, or 1.5, to get the corresponding sides of ∆EFG. The similarity statement works like the congruency statement. The corresponding parts must match.
Now we will use the relationships above to find missing values of similar triangles. Copy the examples below. If you need to see one worked out click on the more help link.
Complete the worksheet posted below, then check your answers.