Geometry

Question 1

Level 1 - Always

1. Vertical angles are?
2. Adjacent angles are?

Answer 1

1. vertical angles are equal
2. adjacent angles are supplementary (x+y=180)

Question 2

Level 1 - Always

Which are equal angles?

Answer 2

Question 3

Level 1 - Always

Formula for sum of interior angles?

Answer 3

= 180(n-2)

Question 4

Level 1 - Always

Formula for area?

Answer 4

Question 5

Level 1 - Always

Formulas for area and perimeter?

Answer 5

Question 6

Level 1 - Always

Formulas for area and perimeter?

Answer 6

Question 7

Level 1 - Always

Formula for area?

Answer 7

Question 8

Level 1 - Always

Formulas for area and circumference?

Answer 8

Question 9

Level 1 - Always

Formula for area?

Answer 9

Question 10

Level 1 - Always

Formula for area?

Answer 10

Question 11

Level 1 - Always

Formula for Volume?

Answer 11

Question 12

Level 1 - Always

Formula for Volume?

Answer 12

Question 13

Level 1 - Always

Formula for Volume?

Answer 13

Question 14

Level 3 - Sometimes

Volumes for other three-dimensional solids?

Answer 14

V = B x h (where B is the area and h is the height)

Question 15

Level 1 - Always

Pythagorean Theorem?

Answer 15

Only applicable to right triangles

Question 16

Level 1 - Always

Two common Pythagorean triples?

Answer 16

Question 17

Level 2 - Less Common

Side lengths of a 45-45-90 triangle?

Answer 17

Question 18

Level 2 - Less Common

Side lengths of a 30-60-90 triangle?

Answer 18

Question 19

Level 1 - Always

Yards to Feet

Answer 19

Question 20

Level 1 - Always

Feet to Inches

Answer 20

Question 21

Level 1 - Always

What are similar triangles?

Answer 21

Question 22

Level 1 - Always

What is an equilateral triangle?

Answer 22

All 3 sides are equal and all angles equal 60

Question 23

Level 1 - Always

What is an isosceles triangle?

Answer 23

2 sides are equal and 2 angles are equal

Question 24

Level 1 - Always

What is a scalene triangle?

Answer 24

3 sides and 3 angles are all different

Question 25

# **Level 3 - Sometimes** What is the Third Side of a Triangle rule?

Answer 25

The sum of the 2 shorter sides of a triangle, a and b, must be greater than the longest side of a triangle, c. a + b > c

Question 26

# **Level 3 - Sometimes** Side Lengths and Angles in a Triangle

Answer 26

The smallest side in a triangle is opposite the smallest angle. The largest side in a triangle is opposite the largest angle.

Question 27

# **Level 3 - Sometimes** Acute triangle - Obtuse triangle - Right triangle -

Answer 27

Acute - all angles are less than 90 Obtuse - 1 angle greater than 90 Right - 1 angle equal to 90

Question 28

# **Level 3 - Sometimes** Area of an Equilateral Triangle

Answer 28

Question 29

# **Level 3 - Sometimes** Half of an Equilateral Triangle is?

Answer 29

Cutting an equilateral triangle in half creates two 30-60-90 right triangles

Question 30

# **Level 3 - Sometimes** Tangent Lines and Circles

Answer 30

A tangent line to a circle is a straight line that just touches the circle at one point. The angle between the radius of the circle and the tangent line is always 90. Two tangent lines to a circle from a single point are congruent.

Question 31

# **Level 3 - Sometimes** Perimeters and Maximizing the Enclosed Area

Answer 31

Given a certain perimeter, a circle always maximizes the enclosed area. If you must make a rectangular shape (more common on ACT), a square maximizes the enclosed area. E.g. if you have 40 feet of fence to close a yard and are not given an answer choice that is a circle, a square with side lengths of 10 feet gives you the largest possible enclosed area (100 square feet).

Question 32

# **Level 3 - Sometimes** Pythagorean Theorem and Types of Triangles

Answer 32

Question 33

Formula for Slope

Answer 33

Question 34

Slopes of Parallel and Perpendicular Lines

Answer 34

Parallel lines = same slop Perpendicular lines = negative reciprocals

Question 35

Slope-Intercept Form

Answer 35

*y = mx + b* where *m* is slope and *b* is y-intercept

Question 36

Point-Slope Form

Answer 36

## Footnote First calculate the slope, then isolate the y variable to find the intercept. Or you can plug coordinates of a point into the Slope-Intercept Form to solve for b.

Question 37

Standard Form of a Line

Answer 37

## Footnote Convert to slope-intercept form to find the slope and y-intercept

Question 38

Midpoint Formula of a Line

Answer 38

Question 39

Distance of a Line Formula

Answer 39

Question 40

How to Solve for Intercepts

Answer 40

To solve for the x-intercept, set y = 0 To solve for the y-intercept, set x = 0