Line Segments
Angles
Midpoint
Distance
Partitioned Point
100
A, C, and E are collinear, and C is between A and E. AC = 52 cm, CE = 32. What is the length of AE?
AE=84
*BONUS 100 points: What does collinear mean?
100
Angle A and angle B add up to equal 90o. Angle A is 30 degrees. What is the measure of angle B?
60 degrees
*BONUS 100 points: What are angles that add up to equal 90o called?
100
What is the midpoint and what does it do?
The midpoint is the middle point of a line segment. The midpoint cuts the segment into two congruent, or equal, sections.
100
Calculate the length of CD.
CD = 5
100
Line segment RT has a partitioned point, labeled P. How far is P from R on segment RT?
3/4
*BONUS 100 points: What does the denominator of the fraction tell you?
200
Q, R, and S are collinear and R is between Q and S. RS = 47 in. and QS = 83 in. What is the length of QR?
QR = 36 in
200
Angle H and Angle M are on a straight line. Angle H = 3x - 12 and angle M = 7x + 22. What is the value of x?
x = 17
*BONUS 100 points: What are these angles called?
200
Line segment XY has endpoint X (2,2) and Y (8, 6). What is the midpoint of this segment?
The midpoint is (5, 4).
200
What is the distance between point F (3, 0) and G (0, 5)?
5.8
200
What is the point that is 5/7 from A to B?
P (1, 2)
300
A, B, C are collinear, and B is between A and C. AB = x+10, BC = 2x-1 and AC=30. What is the length of AB?
AB = 17
300
Given that angle D = 3x + 1 and angle T = 4x + 40 are complementary angles, what is the measure of angle T?
68o
300
The endpoints of line segment CD are C (-8, -7) and D (11, 5). What is the midpoint?
(1.5,-1)
300
Calculate the length of line segment AB.
8.6
300
What is the point P that is 3/5 from D to G?
P (2, 4)
400
C, A, and T are collinear, and A is the midpoint of C and T. CA = 3x + 16, AT = 5x - 4. Calculate the value of CT.
CT = 92
400
Calculate the measure of angle EFG.
angle EFG = 47o
*BONUS 100 points: What kind of angle is angle EFG?
400
M is the midpoint of PQ. PM = x + 15, MQ = 4x - 45. What is the length of the line segment PQ?
PQ = 70
400
Mario miscalculated the length of line segment KL with endpoint K (3, -6) and L (-3, 8). Explain his mistake and calculate the correct length of the segment.
15.2
400
What is the point 2/5 of the way from X to Y?
P (4, 4)
500
B, U, and F are collinear and U is between B and F. If BU = 8x + 4, UF = 6x + 12, and BF = 10x + 36, what is the length of BF?
BF = 86
500
If angle PSQ = 4x + 8 and angle PSR = 76o, what is the value of x?
x = 7.5
500
Line segment SU has an endpoint S at (15, 20) and the midpoint, M, is at (10, 6). What is the coordinate point of U?
U = (5,-8)
*BONUS 100 points: If you got U = (12.5, 13), what did you wrong?
500
Whose house is closer to the store, Maggie's or Maribel's?
Maggie's is closer to the store.
Maggie's distance 7.28
Maribel's distance 7.62
500
What is the fraction point P cuts line AB into?
3/6
*BONUS 100 POINTS: What is 3/6 in simplest form?