Geometry Equations of Circles and Parabolas Quiz: 10 Questions with Explanations

Geometry math quiz: Equations of Circles and Parabolas – Maths PDF

Cover of the book Geometry Math Tests with Answer Keys (PDF)

Download as a PDFThe Geometry tests book with answer keysPrintable PDFSee the book ›

Sommaire

This circle equations quiz for Geometry covers equations of circles and parabolas (Common Core G-GPE.A.1, G-GPE.A.2), with a free PDF to print.

Test your understanding of equations of circles 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.A.1, G-GPE.A.2

Circle equations quiz: 10 questions

Question 1

Origin-centered circle of radius 5 with the point (3, 4) on it.

Which equation gives the circle with center at the origin passing through (3, 4)?

Question 2

What is the center of the circle (x – 6)^2 + (y + 1)^2 = 9?

Question 3

What is the radius of the circle (x + 1)^2 + (y – 5)^2 = 121?

Question 4

Point A lies on the circle, B lies outside and D lies inside.

The circle has center (1, 2) and radius 5. Is the point (7, 3) inside, on or outside?

Question 5

Complete the square: x^2 + y^2 – 4x + 6y – 3 = 0 gives center

Question 6

A circle has endpoints of a diameter at (0, 0) and (6, 8). What is the radius?

Question 7

What is the set of points equally far from a focus and a directrix?

Question 8

Each point of the curve is the same distance from F and from the line y = -2.

The parabola has focus (0, 2) and directrix y = -2. What is its equation?

Question 9

A parabola has equation x^2 = 20y. What is the focus?

Question 10

The line y = x meets the circle x^2 + y^2 = 8 at

Remember

Circle: (x – h)^2 + (y – k)^2 = r^2, center (h, k), radius r.
Read the center with opposite signs from the equation.
Inside, on, or outside: compare (x – h)^2 + (y – k)^2 with r^2.
Complete the square to convert x^2 + y^2 + Dx + Ey + F = 0.
Parabola with focus (0, p) and directrix y = -p: x^2 = 4py.

How to use this circle equations 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 circle equations quiz as a PDF with the button below and keep it with your notes.

All Geometry chapters: Geometry math.

Voter.. post

Free printable PDF