Answer:
1. 16
2. 4
3. x = 11
4. (-2, 5)
5. (-10, -5.5)
Step-by-step explanation:
1. Because Q is the midpoint, PQ + QS = PS, and PQ = QS
PQ = 8, so QS = 8
8+8 = 16 = PS
2. QS = 8, and R is the midpoint, so QR is half
8/2 = 4, QR = 4
3. PQ = QS (because Q is the midpoint of PS)
3x - 4 = 29
3x = 33
x = 11
4. midpoint formula: add the two x coordinates, then divide by 2 to get the x coordinate, add the two y coordinates and divide by 2 to get the y coordinate
x coordinate: [tex]\frac{-9+5}{2} = -2[/tex]
y coordinate: [tex]\frac{3+7}{2} = 5[/tex]
(-2, 5)
5. Use the midpoint formula again
x coordinate: [tex]\frac{-12+-8}{2} =-10[/tex]
y coordinate: [tex]\frac{-7+-4}{2} =-5.5[/tex]
(-10, -5.5)
