Example 2: Verify that the diagonals of the square with vertices A(-2,-1),B(2,-1),C(2,3) and D(-2,3) bisect each other.

Question

Answer 1

### The diagonals bisect each other at

.

Answer 2

## Step 1: Calculate the midpoint of diagonal AC### The midpoint formula is given by

. For diagonal AC, we have

and

. Thus, the midpoint of AC is

.## Step 2: Calculate the midpoint of diagonal BD### For diagonal BD, we have

and

. Thus, the midpoint of BD is

.## Step 3: Compare the midpoints### Since

and

, the midpoints of the diagonals are the same. This means the diagonals bisect each other.

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