Theorem 7-3
Identifying Similar Triangles
Find Geometric Mean
Using Corollaries
Finding A Distance
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Given
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DELETE !!!!!!!!!!!!!!
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Proportions in which the means are equal occur frequently in geometry
What is geometric means
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what is the formula for Corollary 1
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Focus Question:How is the altitude of a right triangle related to similarity
What is The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other . These relationship helps you find distances involving right triangles.
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Given:Right triangle ABC with right
What is Prove: triangle ABC~triangle ACD, triangle CBD~ triangle ABC
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DELETE !!!!
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Using the Cross Products Property
What is the first step in finding Geometric mean
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what is the formula of Corollary 2
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DELETE!!!!!!!!!!!
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The atitude to the hypotenuse of a right triangle divides the triangles that are similar to the original triangle and to each other
What is the Theorem 7-3
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Problem 1 Angle YW is the altitude to the hypotenuse of right angle XYZ
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Which Geometric means of 6 and 15 ?
3 and 10
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Problem 3 what is the value of y
Y=4 and 3
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DELETEE !!!!!!!!!!
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The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of a hypotenuse.
What is Corollary 1 to Theorem 7-3
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DELTE !!!!!!!!!!!!
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what is the geometric mean of 4 and 18
3 and 8
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Problem 3 what does the value of x mean.
X=8
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What is the quadratic equation in the standard form
ax to the second power plus bx plus c equal 0
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The altitude to the hypotenuse of a right triangle separates the hypotenuse so that the length of each leg of the triangle is the geometric mean of the length of the hypotenuse and the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to the leg.
What is Corollary 2 to Theorem 7-3
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DELETE !!!!!!!!!!!
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How do you use the definition of geometric mean
Set up a proportion with X in both means positions. The numbers 6 and 15 go into the extremes position.
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Which Corollaries do you use problem 3
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You are preparing for a robotics competition using the setup shown here points A,B,and C are located so that AB= 20in and AB perpendicular to angle BC. Points D is located on angle 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 A to D
X=16 or X=-25
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