Classify triangles and quadrilaterals using coordinates

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Learn it Use the distance formula to compare side lengths and slopes to check for parallel (equal slopes) or perpendicular (slopes are negative reciprocals) sides. Right triangle: two sides perpendicular. Parallelogram: both pairs of opposite sides parallel. Rectangle: parallelogram with a right angle. Rhombus: all sides equal.

Example: A(0, 0), B(4, 2), C(2, 6). Is ABC a right triangle?

Slope AB = 1/2, slope BC = −2.
1/2 × (−2) = −1, so AB ⟂ BC.
Yes, a right angle at B.

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