Vocabulary and Formulas
Two lines that intersect to form a right angle.
Perpendicular
2 angles that when added together equals 90°
Complementary.
The name of the figure that has 10 sides.
Pentagon.
Find the missing angle of the triangle if one measures 55° and the other measures 25°
100°
What is the square root of 63 in simplest form?
3 square roots of 7
Formula to find the volume of a cone
V=1/3 π r2 h
Angles that are on the opposite sides of the transversal and outside the parallel lines.
Alternate exterior angles.
True or false: A trapezoid is a parallogram.
False
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
Find the distance between the following coordinates: X(-8, 2) and Y(-4, 5)
d=5
The trigonometric function that is the ratio of the adjacent and hypotenuse sides of a right triangle
Cosine.
∠1 and ∠2 are complementary.
m∠1 = 2x + 7
m∠2 = 4x – 19.
Find the measure of each angle.
∠1 = 41° and ∠2= 49°
The total interior angle measure of a 6 sided figure
720 °
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
Find the circumference of a circle with an area of 1,134.11 m2
(Round to the nearest tenth)
c=119.4 m
What is the distance formula?
d= sqrt(x2-x1)2+(y2-y1)2
∠ 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 °
Given parallelogram FROG. Solve for x.
m∠ G = 4x +10
m∠ R= 8x-30.
x= 10
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 °
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
The distance from the center to any side of a regular polygon
Apothem.
∠ 1 and ∠ 2 are alternate interior angles. Solve for x.
m∠ 1 is 3x2 + 11x
m∠ 2 is 2x2 - 18
x = - 9
MATH is a Rhombus. The diagonals intersect at E. Solve for x.
ME = x2 − 18
ET = 4x + 3
x=7
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
Find the diameter of a hemisphere with a volume of 4,601.39 m3
d= 26m