Pg. 665 For positive numbers a and b, the geometric mean is the positive number x such that x equals the square root of the product of a and b.

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Pg. 665 For positive numbers a and b, the geometric mean is the positive number x such that x equals the square root of the product of a and b.

Average: Add the numbers, divide by 2 Ex. The average of 15 and 23 is Geometric Mean: Multiply the numbers, take square root Ex. The geometric mean between 15 and 23 is

Pg. 665

Def. An altitude of a triangle is a line segment from a vertex that is perpendicular to the opposite side.

Similar Right Triangles. If the _________ is drawn from the vertex of a right triangle to its hypotenuse, then the two triangles are ________ to the given triangle and to each other. altitude similar

3rd & 1st 3rd & 2nd 2nd & 1st

Pg. 666 The altitude (h) is the geometric mean between the two parts of the hypotenuse (x and y). The leg is the geometric mean between the entire hypotenuse and the part of the hypotenuse next to that leg.

Meet Bob… Bob is a hungry skydiver who has just landed on top of a mountain and is looking for a “means” down.

Bob always lands on the 90 degree angle of the big triangle.

Pg. 667 Find x, y and z

Ex. Find a and b.

Vocab Quiz Next Class Altitude Geometric Mean Indirect Measurement Center of Dilation Similar Dilation Ratio Orientation Scale Factor Similarity Transformations Proportional Enlargement Reduction

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