Distance
What is the distance between 3 and 14?
11
What is the middle of the numbers 2 and 14?
8
23 inches
<A and <B make up <C. If m<A = 7 degrees and m<B = 52 degrees. What is the m<C?
59 degrees
What does it mean for two angles to be complimentary?
They add up to 90 degrees
What is the distance between -6 and 12?
18
What is the middle of numbers -22 and 4?
-9
Point B is between points A and C. If AC = 20 inches and BC = 13 inches, how long is AC?
7 inches
<A and <B make up <C. If m<A = 7 degrees and m<C = 18 degrees. What is the m<B?
11 degrees
What does it mean for two angles to be supplementary?
They add up to 180 degrees
What is the distance between (2, 3) and (5, 7)?
5 units
What is the midpoint between (2, 9) and (10, 5)?
(6, 7)
Point B is between points A and C. If AB = 3x + 9, BC = 13, and AC = 64. Solve for x.
x = 14
<A and <B combine to form <C. If <A = (2x + 5) degrees, <B = 35 degrees, and <C = 80 degrees, find the value of x.
x = 20
What are the two major characteristic of a linear pair?
Add up to 180 degrees (supplementary) and directly form a line (adjacent)
What is the distance between (-3, 5) and (4, -2)? Round to the nearest tenth if necessary.
The point M(3, 2) is the midpoint of segment PQ. If point P has coordinates (-1, 8), find the coordinates of endpoint Q.
Q = (7, -4)
Point B is between points A and C. If AB = 14x + 2, BC = 2x - 6, and AC = 60. What is the length of AB?
58
<A and <B make up a straight angle. If m<A = (5x + 12) degrees and m<B = (3x - 4) degrees, what is the m<B?
x = 21.5
m<B = 59.5 degrees
<1 and <2 are complementary to one another. If <1 = 3x + 1 and <2 = x + 1. What is the measure of < 1?
x = 22
m<2 = 23 degrees
You have a triangle with vertices (-3, -1), (2, -1), and (2, 3). Find the length of all three sides (a, b, and c) where side a connects (-3, -1) and (2, -1), side b connects (2, 3) and (2, -1), and side c connects (-3, -1) and (2, 3).
a = 5 units
b = 4 units
c = square root of 41 or about 6.4 units
The midpoint of the segment joining (2x, y + 4) and (6, 3y) is (5, 10). Solve for x and y.
x = 2
y = 4
Point B is between points A and C. If AB = 2x + 7, BC = x - 3, and AC = 5x - 12. What are the lengths of AB, BC, and AC?
x = 8
AB = 23
BC = 5
AC = 28
<A and <B combine to form <C. If <A = (4x - 5) degrees, <B = (2x + 15) degrees, and <C = (9x - 20) degrees. Find the value of $, then calculate the measure of each angle.
x = 10
m<A = 35 degrees
m<B = 35 degrees
m<C = 70 degrees
∠1 and ∠2 are adjacent, complementary angles. The measure of ∠2 is 3 more than twice the measure of ∠1. Find m∠2.
x = 29
m<2 = 61 degrees