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. What is the ratio of the partitioned point?
3 to 1 or 3:1
*BONUS 100 points: If you add the ratio values together, what does the total 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
Litzy had a problem on her homework where she has to calculate the partitioned point line segment XY when X (-8, -5) and Y (8, 3) in the ratio of 3:5. Below is her work. What did she do wrong?
Litzy added m and x2, n and x1, m and y2, and n and y1 instead of multiplying the values.
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
Line segment XZ has a partitioned point, point Y. What is the ratio of the partitioned point?
The ratio is 2:5.
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
Calculate point P that partitions line segment XY with endpoint X (2,2) and Y (8, 6) in the ratio of 1:2.
P = (4, 3.3)
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
Find the point P that is 2/7ths of the way from A to B on line segment AB when A (-5, 8) and B (9, 3).
P = (-1, 6.6)