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HMWK: p. 531, # 14 – 30 even p. 546, #s 8 – 24 even

HMWK: p. 531, # 14 – 30 even p. 546, #s 8 – 24 even. Game Plan: Today I will be able to Use the converse of the Pyth. Thm. Find the Geometric Mean of similar right triangles. Warm-up: State what you believe the converse of the Pyth. Thm. to be.

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HMWK: p. 531, # 14 – 30 even p. 546, #s 8 – 24 even

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  1. HMWK:p. 531, # 14 – 30 evenp. 546, #s 8 – 24 even Game Plan: Today I will be able to • Use the converse of the Pyth. Thm. • Find the Geometric Mean of similar right triangles. Warm-up: • State what you believe the converse of the Pyth. Thm. to be. • What is the difference between two congruent right triangles and two similar right triangles?

  2. Converse of Pythagorean Thm. • Pyth. Thm states if a right triangle, then a2 + b2 = c2 • Converse states … if a2 + b2 = c2, then it’s a right triangle. Ex: No Yes

  3. Classifying Triangles • Can use the Pyth. Thm to classify triangles. • Acute triangle if a2 + b2 > c2 • Obtuse triangle if a2 + b2 < c2 Ex: Do the following set of numbers represent a triangle? If so, classify each as right, acute, or obtuse. 8, 40, 41 12.3, 16.4, 20.5 • Yes, obtuse • Yes, right

  4. Similar Right Triangles • Similar Triangle: same shape, different size • Angle measures are congruent • Side lengths are proportional • Symbol ~ • Geometric Mean

  5. Right Angle Theorems Notes

  6. Examples

  7. Wrap-Up • If z is the geometric mean of r and t, set up the proportion. • What are similar triangles? • What is the converse of the Pyth Thm?

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