1. Foundations of Geometry
1. Foundations of Geometry
2. Parallel and Perpendicular Lines
2. Parallel and Perpendicular Lines
4. Congruent Triangles
4. Congruent Triangles
100
If DM=25, what is the value of r?
10
100
If DG = 22, what is the measure of DM?
59
100
What type of lines are coplanar and do not interesect?
Parallel Lines
100
If the measure of angle 4 = 105, what is the measure of angle 5?
105
100
What is the theorem that proves triangle ECA congruent to triangle DCB?
Side-Angle-Side
100
What is the theorem that proves triangle NTP congruent to triangle MTQ?
Side-Angle-Side
200
What is the measure of the angle PQR?
133 degrees
200
If a ray QT bisects the angle RQS, what is the measure of the angle TQS?
24 degrees
200
What are ALL the angles supplementary to angle 1?
Angle 3, Angle 6, and Angle 7
200
What are ALL the angles congruent to angle 5?
Angle 1, Angle 4, and Angle 8
200
What is the measure of the angle KJL?
54
200
What is the measure of the angle LNM?
63
300
If the measure of angle 1 = (4x + 2) and measure of angle 3 = (5x - 15), what is the value of x?
17
300
Points L, M, and N are collinear. You are given LM = 18 and LN = 27. What is a possible value of MN?
9
300
Find the values of x, y, and z.
x = 62
y = z = 118
300
If the measure of angle 4 = 97, what is the sum of angle 1 and angle 2?
97
300
If the measure of angle BHG = 100, what is the measure of CED?
100
300
If measure of the angle BEF = 100 and measure of angle CBE = 75, what is the measure of angle DAG?
25
400
The ray BD bisects the angle ABC so that the measure of angle DBC = x + 6 and the measure of angle ABD = 2x-12. What is x?
18
400
If (3, 4) is the midpoint of XY, what are the coordinates of point Y if point X is (0, 0).
(6, 8)
400
What is the equation of a line that is parallel to the line y = 2x + 7 and passes through the point (-2, 4)?
y = 2x + 8
400
What is the equation of a line that is perpendicular to the line
y= -1/4x-1 and passes through the point (3, 7)?
y = 4x - 5
400
Is the triangle AJG congruent to the triangle CDF? Explain.
Yes, by Hypotenuse Leg
400
If measure of angle NMQ = 75 and measure of angle MQT = 95, what is the measure of angle TSR?
20
500
If Q (3, 7) is the midpoint of the segment LP where the point L is positioned at (-4, 9), where is the point P?
(10, 5)
500
Use the reasons provided to complete the proof.
Given: angle 1 and angle 2 are complementary, angle 3 and angle 4 are complementary
Prove: angle 1 is congruent to angle 3
500
What is the value of x?
x = 109
500
What is the value of z?
z = 96
500
What is the measure of angle BFD?
68
500
Is the triangle NTM congruent to the triangle SMT? Explain.
Yes, by Side - Angle - Side