Question

the coordinates of a and b are –7 and 9. the coordinates of c and d are –4 and 12. are a b and c d congruent? if yes, what is the length of each segment?

Answer 1

Line segment AB and CD both are congruent with the length of 16 units.

We have been given two line segment AB and CD of whose coordinates are :

  A = -7  ,  B = 9   and  C = -4 ,  D = 12

The distance formula is given as |x2 – x1|

Therefore the length of AB = |9 – (-7)|

                                               = 9 + 7

                                               = 16

The length of CD = |12-(-4)|

                              = 12 + 4

                             = 16

Note that when two line segments are congruent then their distance is equal.

Thus both the line segment AB and CD are congruent with a length 16 unit.

Learn more about distance here : brainly.com/question/23848540

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