Find the DISTANCES of AB and CD to determine if AB is congruent to CD. A(-7,1) B(-4,-3) C(3,-5) D(7,-2)

AB is congruent to CD

Explanation:

Given the following :

A(-7,1) B(-4,-3) C(3,-5) D(7,-2)

Distance AB:

A(-7,1) ; B(-4,-3) ;

AB = √[(X2 - x1)^2 + (y2 - y1)^2]

AB = √[(-4 - (-7))^2 + (-3 - 1)^2]

AB = √[(-4 + 7)^2 + (-3 - 1)^2]

AB = √[(3)^2 + (-4)^2]

AB = √(9 + 16)

AB = √25

AB = 5

C(3,-5) D(7,-2)

Distance CD ; x1 = 3, y1 = - 5, x2 = 7, y2 = - 2

CD = √[(X2 - x1)^2 + (y2 - y1)^2]

CD = √[(7 - 3)^2 + (-2 - (-5))^2]

CD = √[( 4 )^2 + (-2 + 5)^2]

CD = √[(4)^2 + (3)^2]

CD = √(16 + 9)

CD = √25

CD = 5

CD = AB, Hence, AB is Congruent to CD