sides of similar figures practice
Sure! Here are a few practice examples:
1. Triangle ABC is similar to triangle DEF. Side AB measures 4 inches and side DE measures 8 inches. If side BC measures 6 inches, what is the length of side DF?
- Since the triangles are similar, their corresponding sides are proportional. We can set up the following proportion: AB/DE = BC/DF. Plugging in the given values, we get 4/8 = 6/DF. Solving for DF, we get DF = 12 inches.
2. Rectangle PQRS is similar to rectangle WXYZ. Side PQ measures 10 meters and side XY measures 20 meters. If side QR measures 6 meters, what is the length of side WZ?
- Again, since the rectangles are similar, their corresponding sides are proportional. We can set up the following proportion: PQ/WZ = QR/XY. Plugging in the given values, we get 10/WZ = 6/20. Simplifying the proportion, we get 1/WZ = 1/10. Solving for WZ, we get WZ = 10 meters.
3. Parallelogram ABCD is similar to parallelogram EFGH. Side AB measures 5 centimeters and side EF measures 15 centimeters. If side BC measures 8 centimeters, what is the length of side FG?
- Once again, since the parallelograms are similar, their corresponding sides are proportional. We can set up the following proportion: AB/EF = BC/FG. Plugging in the given values, we get 5/15 = 8/FG. Simplifying the proportion, we get 1/3 = 8/FG. Solving for FG, we get FG = 24 centimeters.
Remember, when solving for sides of similar figures, make sure to set up and solve the proportion correctly by matching the corresponding sides of the figures.