Vocabulary
Line Segment Addition
Distance, Midpoints, & Endpoints
Angle Addition
Angle Relationships
100
True or False, vertical angles are always equal.
True
100
If T is the midpoint of BD and BT = 50, then what is BD?
100
100
Name the abbreviated method that is used in class to find the midpoint?
SAD
100
If MN and NR are perpendicular. Determine the measure of angle N? Then, state whether angle N is acute, right, obtuse, or straight.
90 degrees; right angle
100
If angle 1 = 48 and angle 2 = 131, are they supplementary?
No because 48 + 131 is not 180 degrees.
200
What does it mean when two angles are supplementary.
The two angles add up to 180 degrees.
200
T is the midpoint of SU. Let ST = 6x, TU = 2x + 32, find the values of x and ST.
x = 8, ST = 48
200
What are the coordinates of the midpoint of the segment whose endpoints are R(10, 2) and T(2, 14)?
(6, 8)
200
Angles 1 and 2 are vertical angles. Angle 1 = 7x - 8 and Angle 2 = 6x + 11. Solve for x.
x = 19
200
If segment PQ is perpendicular to segment QS and angle Q = 12x - 8, then solve for x.
x = 8
300
What does bisect mean?
When something is cut into two congruent parts
300
If T is between B and N. If BN = 2x + 40, BT = x - 10 and TN = 5x, then what is the value of x?
x = 12.5
300
Find the distance of JK if J(-13, 21) K(-7, -3) using the distance formula.
the square root of 612
300
PQR = x - 5, SQR = x - 11, and PQS = 100. Find the value of x, PQR and SQR.
PQR = 53, SQR = 47
300
Angles 1 and 2 form a linear pair. If angle 1 = 3x and angle 2 = x + 20, then find the value of x and the measures of both angles.
x = 40 Angle 1 = 120 Angle 2 = 60
400
Please state the measure of a right angle, acute angle, obtuse angle, and straight angle.
acute < 90, right = 90, obtuse: 90 < angle < 180, straight = 180
400
F is between E and G. If EF = 2x -12, FG = 3x - 15, and EG = 23, find the values of x, EF, and FG.
x = 10, EF = 8, FG = 15
400
C is the midpoint of AB. The coordinates of C are (0, 1) and the coordinates of A are (4, 3). What are the coordinates of the other endpoint?
(-4, -1)
400
IG bisects FIH. If FIH = 80, and GIH = 2x, then what is the value of x?
x = 20
400
Angles DFG and JKL are complementary. Angle DFG = x + 5 and angle JKL = x - 9. Find the measure of each angle.
Angle DFG = 52 and Angle JKL = 38
500
Please define a linear pair.
A pair of two adjacent angles that are supplementary.
500
Given that Q is between A and B. If BQ = 8x + 7, AQ = 49 and AB = 10x + 20, then find the value of x, BQ, and AB.
x = 18, BQ = 151, AB = 200
500
Find the distance between points P(3, 6) and Q(9, 9) using the distance formula or the Pythagorean Theorem.
the square root of 45
500
MO bisects angle LMN, angle LMN = 5x - 22, angle LMO = x + 34. Find the measure of angle NMO.
NMO = 64 degrees
500
Angles 1 and 2 are supplementary. Angle 1 = x - 39 and Angle 2 = x + 61. Find the measure of each angle?
Angle 1 = 40 degrees Angle 2 = 140 degrees