Question

Given: D is the midpoint of AB; E is the midpoint of AC.

Answer 1

Answer:

The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel

Step-by-step explanation:

To prove that DE is parallel to BC, we have;

The slope, m of the lines DE and BC are found from the following equation;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where;

(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;

$Slope, \, m =\dfrac{c - c}{a + b-b} = 0$

Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;

$Slope, \, m =\dfrac{0 - 0}{2a-0} = 0$

Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.

Answer 2

Answer:

slope of DE = 0

slope Bc = 0

slopes are =

Step-by-step explanation: