Question

How to solve this problem step by step. Make brainliest answer if its done. Please

Answer 1

D is halfway between A and B

so the coordinates of D are (2,2)

E is halfway between A and C so the coordinates of E are (-1,1)

now you need to find the gradient/slope of DE and BC using the formula:

$\frac{y2 - y1}{x2 - x1}$

Gradient of DE:

SUB IN COORDINATES OF D AND E

$\frac{1 - 2}{ - 1 - 2}$

therefore the gradient of DE is 1/3.

Gradient of BC:

SUB IN COORDINATES OF B AND C

$\frac{ - 2 - 0}{ - 3 - 3}$

therefore the gradient of BC is -2/-6 which simplifies to 1/3.

therefore, BC and DE are parallel as they both have a gradient/slope of 1/3 and parallel lines have the same gradient