Geometry: Line Segments, Angles, and Midpoints Practice

If points A, B, and C are collinear with B between A and C, and AB = 7 and BC = 12, what is AC?

19

If points P, Q, and R are collinear with Q between P and R, and PR = 25 and PQ = 9, what is QR?

16

If point M is the midpoint of segment AB, and AM = 3x - 2 and MB = 16, what is x?

6

If point M is the midpoint of segment XY, and XM = 2x + 5 and MY = 4x - 3, what is XY?

26

If point B is between A and C on a line segment, and AB = x + 3, BC = 2x - 1, and AC = 20, what is x?

6

On a number line, if point A is at -8 and point B is at 14, what is the distance AB?

22

On a number line, if point P is at -3 and point Q is at 5, what is the coordinate of the midpoint of PQ?

1

What is the midpoint of segment AB with endpoints A(2, 8) and B(6, 4)?

(4, 6)

What is the midpoint of segment CD with endpoints C(-4, 1) and D(2, -5)?

(-1, -2)

If line segment AB has midpoint M(3, 7) and endpoint A(1, 3), what are the coordinates of endpoint B?

(5, 11)

If ray BD bisects angle ABC and m<ABD = 35 degrees, what is m<ABC?

70 degrees

If ray BD bisects angle ABC and m<ABD = 2x + 10 and m<DBC = 4x - 6, what is x?

8

If ray BD bisects angle ABC and m<ABD = 40 degrees, what is m<DBC?

40 degrees

If m<A = 38 degrees, what is the measure of its complement?

52 degrees

If m<B = 115 degrees, what is the measure of its supplement?

65 degrees

If two angles are complementary and one angle measures 2x and the other measures 3x + 10, what is x?

16

If two angles form a linear pair and one angle measures 4x and the other measures 2x + 30, what is x?

25

If angle 1 and angle 2 are vertical angles and m<1 = 5x + 4 and m<2 = 34 degrees, what is x?

6

If angle 1 and angle 2 are vertical angles and m<1 = 3x + 12 and m<2 = 5x - 8, what is m<1?

42 degrees

If point P is in the interior of angle RST and m<RSP = 22 degrees and m<PST = 35 degrees, what is m<RST?

57 degrees

If point P is in the interior of angle RST and m<RST = 80 degrees and m<RSP = 3x + 10 and m<PST = 4x, what is x?

10

If angle A and angle B are supplementary and m<A = 70 degrees, what is m<B?

110 degrees

If segment AB is congruent to segment CD, and AB = 18, what is CD?

18

If ray BA and ray BC are opposite rays, what type of angle do they form?

Straight angle (180 degrees)

If two lines intersect to form a right angle, what is the relationship between the two lines?

Perpendicular