Test Review (8.1 – 8.3) DON’T FORGET TO REVIEW ALL OF YOUR HOMEWORK ALSO!!
8-1: Geometric Mean
Name: _____________________________
Geometric Mean The geometric mean between two numbers is the positive square root of their product.
If x is the geometric mean between a and b, then x =
.
Find the geometric mean between each pair of numbers.
1. 6 and 9
2. and 2
Find x, y, and z to the nearest tenth.
3.
4.
y
5.
5
z
8-2 Study Guide and Intervention
The Pythagorean Theorem and Its Converse
△ABC is a right triangle, so
+
=
You can also use the lengths of
sides to classify a triangle.
.
if
+
= then △ABC is a
right triangle.
Find x.
6.
7.
8.
if >
obtuse.
+
then △ABC is
if <
acute.
+
then △ABC is
Determine whether each set of measures can be the measures of the sides of a triangle. If so, classify the triangle as
acute, obtuse, or right. Justify your answer with work.
9. 30, 40, 50
10. 20, 30, 40
11. 6, 8, 9
Special Right Triangles
Properties of 45°-45°-90°
l
l
Properties of 30°-60°-90°
2s
l
Find x.
12.
13.
14.
15.
s