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Rotation of 180° about the origin

8th Grade Translations, Reflections and Rotations Quiz: 10 Questions with Explanations

8th Grade math quiz: Translations, Reflections and Rotations – Maths PDF

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This rigid transformations quiz for 8th Grade covers translations, reflections and rotations (Common Core 8.G.A.1, 8.G.A.2, 8.G.A.3), with a free PDF to print.

Pick the best answer for each of the 10 questions about translations, reflections, rotations and congruence on the coordinate plane (Common Core 8.G.A.1, 8.G.A.2 and 8.G.A.3). Read each question carefully, then read the explanation to learn from any mistake.

Grade 8 · Common Core State Standards: 8.G.A.1, 8.G.A.2, 8.G.A.3

Rigid transformations quiz: 10 questions

Question 1

What is the image of \((3, 4)\) after a translation 2 left and 5 up?

Question 2

What is the reflection of \((7, -2)\) across the x-axis?

Question 3

Point P(-1, 6) on the grid.

What is the image of \((-1, 6)\) after a \(180^{\circ}\) rotation about the origin?

Question 4

Two triangles.

Which transformation maps \(ABC\) onto \(A^{\prime}B^{\prime}C^{\prime}\)?

Question 5

Which is NOT preserved by a rotation?

Question 6

What is the image of \((2, 7)\) after a \(90^{\circ}\) clockwise rotation about the origin?

Question 7

Two triangles.

Which transformation maps \(ABC\) onto \(DEF\)?

Question 8

Two figures are congruent when

Question 9

A triangle is reflected across a line. Which statement about the image is true?

Question 10

Reflect \((a, b)\) across the y-axis. What is the image?

Remember

Translation by \((a, b)\): \((x, y) \to (x + a, y + b)\).
Reflection across the x-axis: \((x, -y)\); across the y-axis: \((-x, y)\).
Rotation about the origin: \(90^{\circ}\) counterclockwise \((-y, x)\); \(180^{\circ}\) \((-x, -y)\); \(90^{\circ}\) clockwise \((y, -x)\).
Rigid motions preserve lengths, angles and parallel lines.
Two figures are congruent if a sequence of rigid motions maps one to the other.

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

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