Question
sides of similar figures practice
Answers
GPT 3.5
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.
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.