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
