Question

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)

Answer 1

Answer:

Step-by-step explanation:

The formula for calculating the distance between 2 points is expressd as;

D = √(x₂-x₁)²+(y₂-y₁)²

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

The disyance AB will be expressed as

AB = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinates A(-7,1) B(-4,-3)

AB = √(-4-(-7))²+(-3-1)²

AB = √(-4+7)²+(-4)²

AB = √3²+4²

AB = √25

AB = 5

For CD with coordinates C(3,-5) D(7,-2)

CD = √(7-3)²+(-2-(-5))²

CD = √(4)²+3²

CD = √16+9

CD = √25

CD = 5

Congruent sides are sides that are equal. Hence since AB is equal to CD, this means that the distances AB and CD are congruent