Classify the quadrilateral ABCD. A(-9, -1), B(1, -1), C(1, -...

Question Analysis

Classify the quadrilateral using coordinates by analyzing side lengths, slopes, and symmetry.

Key Concept Explanation

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.

Slope Formula: Horizontal lines have slope ; vertical lines have undefined slope. Parallel lines have equal slopes.

Step-by-Step Solution

1. Vertices:

, , , .

2. Calculate slopes:

and : Both horizontal (

Click "Show Answer" to reveal the answer and analysis

Geometry