Similar Triangles
The Greeks
Objectives:
Calculate the lengths of sides of similar triangles.
Solve word problems involving similar triangles.
Use the two column proof method to prove a geometric result.
Vocabulary:
similar triangles
Formulas:
Proportions of similar triangles:
Possible Classroom Examples:
Given that the triangles are similar, find the lengths of the missing sides.
Given that the triangles are similar, find the lengths of the missing sides.
A 5.4-foot –tall woman casts a shadow of 2 feet at the same instant that a telephone pole casts a shadow of 9 feet. How tall is the telephone pole?
Find the length of the longest object that will fit inside a cube 2 feet long, 2 feet wide, and 2 feet high.
Use the two-column method to prove the result.
Given:
Prove:
Use the two-column method to prove the result
Given:
Prove:
© 2007 Elizabeth E. K. Jones and the ASU Department of Mathematics and Statistics - All rights reserved.