Classify the quadrilateral ABCD. A(-9, 0), B(-6, 6), C(6, 6)...

Question Analysis

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

Key Concept Explanation

Distance Formula:

Slope Formula:

Properties:

Parallelogram: Opposite sides equal and parallel.

Rectangle: Parallelogram with right angles (perpendicular adjacent sides).

Rhombus: Parallelogram with all sides equal.

Square: Rhombus + rectangle (all sides equal, all angles 90°).

Trapezoid: At least one pair of parallel sides.

Step-by-Step Solution

1. Vertices:

, , , .

2. Calculate Side Lengths:

Geometry