Geometry Chapter 8 Test

Front 1

The ________ ____ of two numbers is the positive square root of their product

Back 1

Geometric mean

Front 2

What is the Altitude Rule?

Back 2

(Segment 1/Altitude) = (Altitude/Segment 2)

Front 3

What is the leg rule?

Back 3

(hypotenuse/leg) = (leg/segment of hypotenuse adjacent to leg)

Front 4

In the Pythagorean Theorem, if a^2+b^2>c^2, what kind of triangle is it?

Back 4

Acute

Front 5

In the Pythagorean Theorem, if a^2+b^2<c^2, what kind of triangle is it?

Back 5

Obtuse

Front 6

In the Pythagorean Theorem, if a^2+b^2=c^2, what kind of triangle is it?

Back 6

Right

Front 7

What is a pythagorean triple and what are the four sets of them?

Back 7

A pythagorean triple is a set of 3 positive integers that satisfy the equation of a^2+b^2=c^2. The four pythagorean triple sets are:
3,4,5
5,12,13
7,24,25
8,15,17

Front 8

What does the word trigonometry come from? What are those two word's meanings?

Back 8

Two Greek terms:
Trigon - triangle
Metron - measure

Front 9

If one was given the Hypotenuse of an equilateral triangle, how would they find the altitude?

Back 9

Divide the Hypotenuse in half and multiply by root 3 to get the altitude

Front 10

If one was given the altitude of an equilateral triangle, how would they find the hypotenuse?

Back 10

divide the altitude by root 3

Front 11

If one was given the diagonal of a square, how would they find the four congruent sides of it?

Back 11

Multiply the diagonal in half and multiply by √2 to get the congruent sides

Front 12

On a 30°, 60°, 90° triangle, what value does the 30° 90° leg have?

Back 12

x√3

Front 13

On a 30°, 60°, 90° triangle, what value does the 30° 60° leg have

Back 13

2x

Front 14

On a 30°, 60°, 90° triangle, what value does the 60°, 90° leg have

Back 14

x

Front 15

On a 45°, 45°, 90° triangle, what value do the two congruent sides have? And the Hypotenuse?

Back 15

1: x
2: x√2