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Vocabulary and Formulas
Angles
Polygons and Quadrilaterals
Triangles
Misc
100

Two lines that intersect to form a right angle.

Perpendicular

100

2 angles that when added together equals 90°

Complementary.

100

The name of the figure that has 10 sides.

Pentagon.

100

Find the missing angle of the triangle if one measures 55° and the other measures 25°

100°

100

What is the square root of 63 in simplest form?

3 square roots of 7

200

Formula to find the volume of a cone

V=1/3 π r2 h

200

Angles that are on the opposite sides of the transversal and outside the parallel lines.

Alternate exterior angles.

200

True or false: A trapezoid is a parallogram.

False

200

Find the length of the hypotenuse of a right triangle with legs measuring 18 and 32. ( Round answer to the nearest tenth)

Hypotenuse= 36.7

200

Find the distance between the following coordinates:  X(-8, 2) and Y(-4, 5)    

d=5

300

The trigonometric function that is the ratio of the adjacent and hypotenuse sides of a right triangle

Cosine.

300

∠1 and ∠2 are complementary.  

m∠1 = 2x + 7 

m∠2 = 4x – 19. 

Find the measure of each angle.

 ∠1 = 41°  and ∠2= 49°

300

The total interior angle measure of a 6 sided figure

720 ° 

300

Find the length of the hypotenuse of a triangle if one angle measures 50° and the side opposite of the angle is 8 ft.( Round answer to the nearest tenth)

Hypotenuse= 10.4 ft

300

Find the circumference of a circle with an area of 1,134.11 m2

(Round to the nearest tenth)

c=119.4 m

400

What is the distance formula?

d= sqrt(x2-x1)2+(y2-y1)2

400

∠ 1 and ∠ 2 form a linear pair. The measure of ∠ 2 is six more than twice the measure of ∠ 1. Find m∠ 2.

 m∠ 2= 122 ° 

400

Given parallelogram FROG. Solve for x.

m∠ G = 4x +10 

m∠ R= 8x-30. 

x= 10

400

Find the missing angle of a right triangle if the adjacent side is 5 and the opposite side is 7.  (Round answer to the nearest tenth).

54.5 ° 

400

JK has coordinates J(-3, 9) and K(5, -1). If LM is perpendicular to JK , what is the slope of LM ?

Slope of LM = 4/5

500

The distance from the center to any side of a regular polygon

Apothem.

500

∠ 1 and ∠ 2 are alternate interior angles. Solve for x.

m∠ 1 is 3x2 + 11x

m∠ 2 is 2x2 - 18

x = - 9 

500

MATH is a Rhombus. The diagonals intersect at E. Solve for x.

ME = x2 − 18

ET = 4x + 3

x=7

500

Sam is standing 50 feet away from the base of a building. She looks up at a 73° angle of elevation to a point on the edge of the building’s roof. How tall is the building? ( Round answer to the nearest tenth)

163.5 ft

500

Find the diameter of a hemisphere with a volume of 4,601.39 m3

d= 26m