~adapted from Walch Education Solving Problems Using Similarity and Congruence.

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Presentation transcript:

~adapted from Walch Education Solving Problems Using Similarity and Congruence

Practice # 1 A meterstick casts a shadow 65 centimeters long. At the same time, a tree casts a shadow 2.6 meters long. How tall is the tree? Draw a picture 2.6 m x

Determine if the triangles are similar. The rays of the sun create the shadows, which are considered to be parallel. Two angles of the triangles are congruent; therefore, by Angle-Angle Similarity, the triangles are similar.

Convert all measurements and solve (1)(2.6) = (0.65)(x) x = 4 The height of the tree is 4 meters.

Practice # 2 To find the distance across a pond, Rita climbs a 30-foot observation tower on the shore of the pond and locates points A and B so that is perpendicular to. She then finds the measure of to be 12 feet. What is the measure of, the distance across the pond? Use the diagram to find the answer.

Determine if the triangles are similar.

Solve the problem. Similar triangles have proportional sides. Create a proportion to find the distance across the pond. The distance across the pond is 75 feet. (12)(x) = (30)(30) x = 75

~Ms. Dambreville Thanks for Watching!!