Question

A has coordinates (1, 4)

Answer 1

Answer:

Step-by-step explanation:

For the midpoint of AB

$x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{1+3}{2} ,y=\frac{4+0}{2} \\\\x=2,y=2$

Hence, co-ordinate of D is D(2,2)

For the midpoint of AC

$x=\frac{x_1+x_2}{2} ,y=\frac{y_1+y_2}{2} \\\\x=\frac{1-3}{2} ,y=\frac{4-2}{2} \\\\x=-1,y=2$

Hence coordinate of E is E(-1,2)

Now find the slope of DE and BC if they are equal they are parallel.