Geometry 2015-16Similarity: Text Section 3-4

Similarity in Right Triangles

Learning Target: I can relate the altitude to the hypotenuse of a right triangle and use the special relationship to find missing measurements.

Warm-Up:What similarity statements can you write relating the three triangles in the diagram? Draw each of the three triangles separately.

Example Problem 3: Using the Similar Triangles

What are the values of x and y?

Geometry 2015-16Similarity: Text Section 3-4

Example Problem 4: Finding a Distance

You are preparing for a robotics competition using the setup shown here. Points A, B, and C are located so that AB = 20 in, and AB⊥ BC. Point D is located on AC so that BD⊥AC and DC = 9in. You program the robot to move from A to D and to pick up the plastic bottle at D. How far does the robot travel from A to D?

From point D, the robot must turn right and move to point B to put the bottle in the recycling bin. How far does the robot travel from point D to B?

I can relate the altitude to the hypotenuse of a right triangle and use the special relationships to find missing measurements.

Section 7-4 p. 465 (9, 18, 20, 23, 31, 33, 34, 38, 39)