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 (m:n) of the partitioned point?
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
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)
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
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)
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
On a map, the fire station is located at (-2, 6) and the police station is at (6, -6). What are the coordinates for the post office if it is located exactly a 3/4ths of the way from the fire station to the police station?
(4, -3)