Midpoint Theorem and Perpendicular Bisectors

Use the Angle Addition Postulate to find the missing angle measure.

• 50°

• 58°

• 115°

• 226°

Use the Angle Addition Postulate to solve.

• x = 77

• x = 7.5

• x = 8

• x = 18

RS is the segment bisector.  If OQ = 32 and PO = 4x, what does x equal?

• 8
• 28
• 128
• 36

D is the midpoint of EF.
ED = 4x + 6
DF = 7x -9
 Find EF.

• 5
• 26
• 52
• 22

Line e is a segment bisector of AB at point M. If AM = 4n-40 & MB = 7(-2n+2), find the value of n.

• 7

• 3

• 5

B is the midpoint of AC.  Find AB.

• 2
• 16
• 8
• 4

• m∠GHK=26, m∠KHJ=26
• m∠GHK=26, m∠KHJ=52
• m∠GHK=52, m∠KHJ=52
• m∠GHK=52, m∠KHJ=26

Solve.

• x=3/17

• x=9

• x=3

• x= -3

  Find the missing endpoint if the midpoint is at (2, -5) and one endpoint is at (12, -5).

• (2, -5)
• (10, -8)
• (-8, -5)
• (12, -5)

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)

• (-9, 10)
• (1.5, -1)
• (4.5, -0.5)
• (8.5, 4.5)