Classify the quadrilateral ABCD. A(0, 5), B(5, 0), C(0, -5),...

Question Analysis

Classify the quadrilateral using coordinate plane metrics (slope, distance) to determine side lengths, parallelism, and angles.

Key Concept Explanation

Distance Formula: (checks for equal sides).

Slope Formula: (identifies parallel/perpendicular sides).

Symmetry: Vertices are symmetric about both axes, indicating a central quadrilateral.

Step-by-Step Solution

1. Vertices:
A(0, 5), B(5, 0), C(0, -5), D(-5, 0)
2. Calculate side lengths:

⇒ all sides equal.

3. Calculate slopes:

Geometry