Question

cfu midpoint and fractional distance checkpoint - due 9/9/25 (-10 each day late) use the diagram below to place each of the midpoints on the numbered line. midpoint of rm, midpoint of qp, midpoint of mp

Explanation:

Midpoint of \( \overline{RM} \)

Step1: Identify coordinates of R and M

\( R = -45 \), \( M = 49 \)

Step2: Apply midpoint formula \( \frac{x_1 + x_2}{2} \)

\( \text{Midpoint} = \frac{-45 + 49}{2} = \frac{4}{2} = 2 \)

Midpoint of \( \overline{QP} \)

Step1: Identify coordinates of Q and P

\( Q = -11 \), \( P = 7 \)

Step2: Apply midpoint formula \( \frac{x_1 + x_2}{2} \)

\( \text{Midpoint} = \frac{-11 + 7}{2} = \frac{-4}{2} = -2 \)

Midpoint of \( \overline{MP} \)

Step1: Identify coordinates of M and P

\( M = 49 \), \( P = 7 \)

Step2: Apply midpoint formula \( \frac{x_1 + x_2}{2} \)

\( \text{Midpoint} = \frac{49 + 7}{2} = \frac{56}{2} = 28 \)

Answer:

• Midpoint of \( \overline{RM} \): \( 2 \)
• Midpoint of \( \overline{QP} \): \( -2 \)
• Midpoint of \( \overline{MP} \): \( 28 \)