Question

Please help me question attached below:)))

Answer 1

Answer:

• D(5, 4), E(14, 7), M(9.5, 5.5)

Step-by-step explanation:

As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB

Find the coordinates of D:

• x = 1 + 1/4(17 - 1) = 1 + 4 = 5
• y = 5 + 1/4(1 - 5) = 5 - 1 = 4

Find the coordinates of E:

• x = 13 + 1/4(17 - 13) = 13 + 1 = 14
• y = 9 + 1/4(1 - 9) = 9 - 2 = 7

Find the coordinates of the midpoint M of DE:

• x = (5 + 14)/2 = 19/2 = 9.5
• y = (4 + 7)/2 = 11/2 = 5.5