9.1 - similar right triangles. learning outcomes i will be able to recognize similar right triangles...

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9.1 - SIMILAR RIGHT TRIANGLES

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Page 1: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

9.1 -

SIMILA

R RIG

HT

TRIA

NGLES

Page 2: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

LEARNING OUTCOMES

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

Page 3: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

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?

Page 4: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

THEOREM

Page 5: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

PROVE IT!

Page 6: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

HOW WILL I USE THIS?

Page 7: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

PART A: IDENTIFYING THE SIMILAR TRIANGLES

Page 8: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

PART B: SOLVING FOR H

Page 9: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

YOUR TURN!

Find DF

Page 10: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

GEOMETRIC MEAN THEOREM

Page 11: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

HOW WILL I USE THIS?

Page 12: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

YOUR TURN

Page 13: 9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse

Solve for x Pg. 531: 11 - 30

EXIT TICKETHOMEWORK