Calculate Values in Line Segments
Calculate Values in Angles
Calculate the Midpoint
Calculate the Distance
Calculate the 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 are add up to equal 90o. Angle A is 65 degrees. What is the measure of angle B?
25 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
*BOUNS 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 = 19
*BONUS 100 points: if x = 19, what is the measure of angle M?
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
If RT = 3x - 5, what is the value of x?
x = 4
300
Angle D = 3x + 1 and angle T = 4x + 40. If these angles 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 the partitioned point of line segment XY when X (-8, -5) and Y (8, 3) in the ratio of 3:5.
P = (-2, -2)
400
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
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 = 35
400
Line segment XY has endpoint X (2,2) and Y (8, 6). What is the length of this segment?
The distance between the two points is 7.2.
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
C, A, and T are collinear, and A is is the midpoint of C and T. CA = 3x + 16, AT = 5x - 4. Calculate the value of CT.
CT = 46
500
Angle PSQ is congruent to angle QSR. If angle PSQ = 4x + 8 and angle PSR = 76o, what is the value of x?
x = 7.5
*BONUS 100 points: What is the measure of angle PSQ?
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
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
500
Find the point P that partitions the line segment AB into the given ratio.
A (-5, 8) B(9, 3) with the ratio 2:5
P = (-1, 6.6)