A, b and c are the vertices of a triangle.
a has coordinates (4, 6)
b has coordinates (2,-2)
c has coordinates (-2,-4)
d is the midpoint of ab.
e is the midpoint of ac.
prove that de is parallel to bc.
you must show each stage of your working.

Step-by-step explanation:

Use midpoint formula to find the coordinates of each midpoint.

(x, y) = (½ (x₁ + x₂), ½(y₁ + y₂))

Coordinates of D:

(x, y) = (½ (4 + 2), ½(6 + -2))

(x, y) = (3, 2)

Coordinates of E:

(x, y) = (½ (4 + -2), ½(6 + -4))

(x, y) = (1, 1)

Slope of DE:

m = Δy / Δx

m = (2 − 1) / (3 − 1)

m = 1/2

Slope of BC:

m = Δy / Δx

m = (-2 − -4) / (2 − -2)

m = 1/2

Therefore, DE is parallel to BC.

step-by-step explanation:

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step-by-step explanation: