1. “YOU CAN’T HANDLE THE TRUTH!”

2. “A Few Good Men”

3. 8-1 Similarity in Right Triangles
HONORS GEOMETRY

4. CCSS Content Standards G.SRT.4 Prove theorems about triangles.
G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
Mathematical Practices
7 Look for and make use of structure.
3 Construct viable arguments and critique the reasoning of others.

5. Then/Now
You used proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles.
Find the geometric mean between two numbers.
Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse.

6. 8-1 Similarity in Right Triangles
Arithmetic mean is commonly referred to as "average" or simply as "mean"
How do we find the arithmetic mean of 3 and 27?

7. 8-1 Similarity in Right Triangles
GEOMETRIC MEAN –
The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root.
Note:
The number x such that
where a, b, and x are positive numbers.
Ex 1: Find the geometric mean of
a.) 4 and 7
b.) 5 and 25

8. h is the geometric mean between x and y P P N O M O N N M
h is the geometric mean between x and y
b is the geometric mean between y and c
a is the geometric mean between x and c

10. 8-1 Similarity in Right Triangles
Find e to the nearest tenth.
A. 13.9
B. 24
C. 17.9
D. 11.3

11. 8-1 Similarity in Right Triangles
Use Geometric Mean with Right Triangles
Find c, d, and e.

12. Ex 3: Find x.
Ex 4: Find x. x x 3 5 5 7

13. Ex 5: Find x.
Ex 6: Find x & y. x 3 y 2 6 x 5

14. Real World Connection
As Marla arrives at the lake from the parking lot, she reads a sign that says she is 320m from the dock. How far is Marla from the information center?

15. Ex 7: Find x, y & z.
Ex 8: Find x, y & z. 3 z y x y z 1 4 x

16. “Do you like apples. Well I got her number, how do ya like them apples

18. “In the end you will remember NOT the words of your enemies but the SILENCE of your friends”

21. HOMEWORK Pgs. 541-543 #’S 8-14, 18-30 ALL, 35-37