Name______Class______
8.8 Homework
1) Given that RSTU @ WXYZ, mark the corresponding angles. Then find the missing side measurements.
2) Given that DDEF @ DGHI, mark the corresponding sides and angles and find the missing angle measurements.
Angle F=______Angle H=______Angle G=______
3) Tell whether triangle PQR is similar to triangle STU. If the two polygons are similar, find the ratio of the lengths of the corresponding sides of figure A to figure B.
4) Tell whether trapezoid ABCD is similar to EFGH. If they are similar, find the ratio of the lengths of the corresponding sides of figure A to figure B.
5) A photograph of a rug in a catalog is 9 centimeters long and 5 centimeters wide. The actual rug is 162 centimeters long and 90 centimeters wide. Are the photograph of the rug and the actual rug similar figures? SHOW HOW YOU KNOW!
6) A small envelope is 164 millimeters long and 93 millimeters wide. A large envelope is 248 millimeters long and 106 millimeters wide. Are the envelopes similar figures? SHOW HOW YOU KNOW!
Find the unknown length x given that the polygons are similar.
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12) A person who is 5.5 feet tall stands next to a tree and casts a shadow that is 2 feet long. At the same time, the shadow of the tree is 8 feet long. How tall is the tree? Draw a picture!
13) You are creating a model of a room for a design project. The floor of the actual room is 12.5 feet wide and 15 feet long. You want the floor of your model to be similar to the actual room. If you decide to make the model 1.5 feet long, what will be the width of the model? Draw a picture!
14) You are enlarging a rectangular photograph that is 5 inches wide and 7 inches long. If the enlarged photograph is 24.5 inches long and is similar to the original photograph, what is the width of the enlarged photograph? Draw a picture!
15) Find the unknown length given that ACDF ~ ABEG.