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Step-by-step explanation:

use the distance formula. calculate the distance between AB and then between CD showing AB = CD.

then use the distance formula on BC and AD, showing they are equal.

d=√((x_2-x_1)²+(y_2-y_1)²)

AD ≅ BC

DC ≅ DC

<A, <B, <C, <D

d=√((x_2-x_1)²+(y_2-y_1)²)

Step-by-step explanation:

There are a few ways to prove a quadrilateral is a rectangle. Here are three of the easiest ways: 1) Show all angles are 90°; 2) Show that one pair of sides is parallel and that two opposite angles are 90°; 3) Show the diagonals bisect each other and are of equal length.

The diagonals are congruent. Let's see why we can claim that the diagonals are congruent. Here is a sample proof: Given: Quadrilateral ABCD is a rectangle.

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step-by-step explanation:

where is the picture

step-by-step explanation: