Coordinate Proofs Worksheets Grade 10

Geometry

Write geometric proofs on the coordinate plane

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

8 problems
  1. Prove that triangle ABC with vertices A(1, 3), B(5, 7), and C(9, 3) is isosceles using coordinate geometry.
  2. Aroha is proving that a triangular garden with vertices at (12, 9), (24, 18), and (36, 9) is isosceles. She needs to find the length of the longest side to determine how much fencing material to order for that side. What is the length of the longest side of this triangular garden?
  3. Prove that triangle Emma with vertices E(3,1), M(9,1), M(6,7) is isosceles using coordinate geometry.

…and 5 more problems

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Worksheet 2

8 problems
  1. Prove that triangle ABC with vertices A(1,1), B(5,1), C(3,7) is isosceles using coordinate geometry.
  2. Prove that triangle Hana with vertices H(0,0), A(6,0), N(2,4) is isosceles using coordinate geometry.
  3. Ava is designing a triangular garden plot with vertices at A(1,1), B(6,1), and C(4,6). She wants to prove it's an isosceles triangle using coordinate geometry. Which statement correctly proves the triangle is isosceles?

…and 5 more problems

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Worksheet 3

7 problems
  1. Prove that triangle Aroha with vertices A(9,0), B(15,0), C(12,4) is isosceles using coordinate geometry.
  2. Prove that triangle ABC with vertices A(0,0), B(10,0), and C(5,5) is isosceles using coordinate geometry.
  3. Prove that quadrilateral Hana with vertices H(2,4), A(6,8), N(10,4), and A(6,0) is a square.

…and 4 more problems

Open & Print Worksheet 3

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