Question

Plot the points in a coordinate plane. Then determine whether AB and CD are

congruent.
A(-3, 7), B(-3,-1), C(1, -3), D(1, 5)

Answer 1

• AB and CD are congruent

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Without plotting the points we can compare the lengths of segments AB and CD.

We see the x-coordinates of A and B are equal (-3), same with points C and D (1).

Hence the distance between them is determined by the difference of y-coordinates.

Therefore, the segments have lengths:

• AB = | - 1 - 7| = 8 units
• CD = | 5 - (-3)| = 8 units

Hence the segments are congruent.