Chapter 9 First Quiz

Question 1

Pythag. Trips

Answer 1

3,4,5
5,12,13
8,15,17
7,24,25

Question 2

Converse Pythag. Thm.

Answer 2

C2 = a2 + b2 (right)
C2 < a2 + b2 (acute)
C2 > a2 + b2 (obtuse)

Question 3

For a 45, 45, 90 Triangle…

Answer 3

Leg, Leg, and Leg√ 2
x, x, and x√ 2

Question 4

For a 30, 60, 90 Triangle…

Answer 4

Small side - X
Medium side - x√ 3
Large side - 2x

Question 5

Right Triangle Thm

Answer 5

When an altitude is drawn to the hypotenuse of a right triangle, the two triangles formed are similar to the original triangle and each other.

Question 6

Geometric Mean Theorem

Answer 6

Altitude squared = Piece one of hypotenuse * Piece two of hypotenuse

Question 7

Leg Mean Theorem

Answer 7

Side squared = piece of hypotenuse that the side touches * the whole hypotenuse

Question 8

How to write Similar Triangles

Answer 8

Write the big triangle twice
Write overlapping angle first
Then right angle
Finally, the remaining angle
The last line write that both triangles are similar

Question 9

Mean of two numbers

Answer 9

x Squared = a*b

Question 10

When (x + #) is squared it will be a binomial * a binomial

Answer 10

Solve it by factoring