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Coordinate Proofs - Free Printable

Educational worksheet: Coordinate Proofs. Download and print for classroom or home learning activities.

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1. The coordinates of point X are (b/2, c/2).
2. The coordinates of point Y are (a + b/2, c/2).
3. The length of segment XY is a.
4. The slope of line PQ is c/b.
5. The slope of line RY is c/b.
6. Since the slopes of PQ and RY are equal, PQ is parallel to RY.
7. The length of segment PQ is √(b² + c²).
8. The length of segment RY is √(b² + c²).
9. Since PQ and RY have the same length and are parallel, quadrilateral PQRY is a parallelogram.
10. The area of triangle PQR is (1/2) * a * c.
11. The area of parallelogram PQRY is a * c.
12. The area of triangle PQR is half the area of parallelogram PQRY.

Parent Tip: Review the logic above to help your child master the concept of triangles and coordinate proof worksheet.

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