Question

WORTH 25 POINTS!!! EASY POINTS! Plot C(-4, -5) ,D(-4,3) ,E( -3,2), and F(-8,2) in a coordinate plane. Are CD and EF congruent?​

Answer 1

Answer: not congruent

Explanation:

To know if CD and EF are congruent, you need to use the distance formula to find CD and EF. If the distance is the same, then they are congruent.

Distance formula:
`d=\sqrt{(x_(2)-x_1)^2+(y_2-y_1)^2}`

CD

`d=√((-4-(-4))^2+(3-(-5))^2)` [parenthesis]

`d=√((0)^2+(8)^2)` [exponent]

`d=√(0+64)` [add]

`d=√(64)` [square root]

`d=8`

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EF

`d=√((-8-(-3))^2+(2-2)^2)` [parenthesis]

`d=√((-5)^2+(0)^2)` [exponent]

`d=√(25+0)` [add]

`d=√(25)` [square root]

`d=5`

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After finding the distance of CD and EF, we can say that they are not congruent. The line CD is 8 units long and line EF is 5 units long. Therefore, they are not congruent.