MIDPOINTS Section 1.5b. Warm Up: 1.Solve: 2(3x-2) = 5x + 20 2.Solve: 3x + 10 = 12x – 170.

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Presentation transcript:

MIDPOINTS Section 1.5b

Warm Up: 1.Solve: 2(3x-2) = 5x Solve: 3x + 10 = 12x – 170

Midpoint Theorem If M is the midpoint of segment AB, then

If Y is the midpoint of segment XZ, and XY = 2a + 11 and YZ = 4a – 5. Find XZ.

If W is the midpoint of segment XY. Find XY if WX = a + 9 and YW = 2a – 4.

If W is the midpoint of XY. Find WY if XW = 2x + 4 and XY = 5x + 5

bisects and bisects 1. XB = 4x + 3 AX = 10x Find XY, AB 2. XY = 2x + 4 AX = 15x – 25 Find XY, YB, AX, AB. 3. XY = 3x + 2 AB = 80 Find x, AX, YB

Find the measure of segment MN if M is between K and N. KM = 2x -4, MN = 3x and KN = 26. C is the midpoint of segment AB. Find the value of x and AB if AC = 5x – 6 and CB = 2x.

Find the measure of segment HJ if J is between H and K. HJ = 4x + 4, JK = 2x – 1 and HK = 27. W is the midpoint of segment XY. XW = 3x + 4. XY = 32. Find x and WY.

Segment CD bisects segment FG at C and segment AB bisects segment CG at E. 1. FC = 3x – 2, CG = 2x + 4 Find FG. 2. FG = 8x + 2, FC = 3x + 3, Find CG.

3. CG = 5x -4, CE = x + 4, Find EG. 4. FG = 6x + 2, CE = X+ 1 Find FC.