1. 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.

2. 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

3. Pg. 665

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

5. 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

6. 3rd & 1st
3rd & 2nd
2nd & 1st

7. 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.

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

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

10. Pg. 667
Find x, y and z

11. Ex. Find a and b.

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