Answer:
Step-by-step explanation:
1 and 2.
slope is m = ( y2-y1) / (x2-x1)
slope of BC = 5-3 /6-1 = 2/5
slope of AD = 1 +1 / 7-2 = 2/5
3 and 4
use the distance formula d= √(x2-x1)² +(y2-y1)²
BC = √( 6-1)²+(5-3)² = √5²+2²= √29
AD = √(7-2)²+(1+1)² = √5²+2² = √29
5.
since BC and AD have the same slope then they are parallel
since BC and AD are same length the segments are ≅
so ABCD is a rectangle
