9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse.

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Presentation transcript:

9.1 - SIMILAR RIGHT TRIANGLES

LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse of a right triangle.

ACTIVITY 1.) Cut an index card along one of its diagonals. 2.) On one of the right triangles draw an altitude from the right angle to the hypotenuse. Cut alone the altitude to form two right triangles. 3.) You should now have three right triangles. Compare the triangles. What special property do they share?

THEOREM

PROVE IT!

HOW WILL I USE THIS?

PART A: IDENTIFYING THE SIMILAR TRIANGLES

PART B: SOLVING FOR H

YOUR TURN! Find DF

GEOMETRIC MEAN THEOREM

HOW WILL I USE THIS?

YOUR TURN

Solve for xPg. 531: EXIT TICKETHOMEWORK