Coordinate Geometry Proofs Quiz – Geometry (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Standards: G-GPE.B.4, G-GPE.B.5, G-GPE.B.6, G-GPE.B.7 · Level: Grade 10 Geometry

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What this Proving Shapes with Coordinates and Slopes quiz checks

• Distance: d = √((x₂ − x₁)² + (y₂ − y₁)²).
• Parallel lines have equal slopes; perpendicular slopes multiply to −1.
• A point dividing AB in the ratio m : n is the fraction m/(m + n) of the way from A to B.
• Compare squared side lengths to test for isosceles, right or equilateral triangles without decimals.

The 10 questions of the quiz

1. A drone flies a straight path from grid point (2, −3) to grid point (10, 12). How many units does it travel?
2. What is the midpoint of the segment from (−5, 6) to (9, −2)?
3. A line has slope 35. What is the slope of any perpendicular line?
4. Which pair of lines is parallel?
5. Point P divides AB in the ratio 1 : 3 from A. What fraction of the way from A to B is P?
6. A sign is cut in the shape shown, with units in feet. What is its area in square feet?
7. Which test proves a quadrilateral is a parallelogram?
8. Which statement is true about the triangle?
9. The midpoint of AB is (2, −1) and A is (−4, 3). What is B?
10. A line is perpendicular to y = −3x + 2 and passes through the origin. Its equation is

After the quiz

Missed a question? Reread the Proving Shapes with Coordinates and Slopes lesson, then take the quiz again. Next, solve the Geometry worksheet on Proving Shapes with Coordinates and Slopes, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.

Mis à jour le 22 October 2026