Geometry Coordinate Geometry and Proofs Quiz: 10 Questions with Explanations

Geometry math quiz: Coordinate Geometry and Proofs – Maths PDF

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This coordinate geometry quiz for Geometry covers coordinate geometry and proofs (Common Core G-GPE.B.4, G-GPE.B.5, G-GPE.B.6, G-GPE.B.7), with a free PDF to print.

Test your understanding of coordinate geometry with this 10-question multiple-choice quiz. Each question has one correct answer, and the explanation after it names the typical mistake behind the wrong choices. Take it after the lesson or before the test.

Geometry · Common Core State Standards: G-GPE.B.4, G-GPE.B.5, G-GPE.B.6, G-GPE.B.7

Coordinate geometry quiz: 10 questions

Question 1

Parallel lines have the same slope.

The lines are parallel. If one has slope 2, what is the slope of the other?

Question 2

What is the slope of a line perpendicular to y = (2/5)x + 1?

Question 3

P splits AB in the ratio 2 : 3 from A.

P divides AB with A(0, 0) and B(10, 5) in the ratio 2 : 3. What is P?

Question 4

What is the distance between (1, 1) and (4, 5)?

Question 5

Which test shows that a quadrilateral is a parallelogram?

Question 6

A triangle has vertices (0, 0), (4, 0) and (4, 3). What is its perimeter?

Question 7

Lines with slopes 3 and -1/3 are

Question 8

A triangle has vertices (0, 0), (6, 0) and (2, 5). What is its area?

Question 9

The point 1/4 of the way from (0, 0) to (12, 8) is

Question 10

In a coordinate proof, equal distance between two sides is used to show that a triangle is

Remember

Parallel lines: equal slopes. Perpendicular lines: slopes multiply to -1.
Point P with AP:PB = a:b is a/(a+b) of the way from A to B.
Distance: square root of (x2 – x1) squared plus (y2 – y1) squared.
Perimeter = sum of distances; area uses base times height or decomposition.
Coordinate proofs test slopes (parallel, perpendicular) and distances (equal sides).

How to use this coordinate geometry quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the coordinate geometry quiz as a PDF with the button below and keep it with your notes.

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