This grade 8 transformations quiz asks 10 multiple-choice questions on translations, reflections and rotations, and each answer comes with a short explanation.
Ten multiple-choice questions check translations, reflections and rotations on the coordinate plane and the properties of rigid motions for standards 8.G.A.1 and 8.G.A.3. Rotations are counterclockwise about the origin. Pick one answer each, then read the explanations.
Grade 8Common Core: 8.G.A.1 · 8.G.A.3
🎯 Translations, Reflections and Rotations – Grade 8 math quiz
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Question 1
What is the image of \((2,-3)\) under the translation \((x,y)\to(x-4,\,y+5)\)?
A\((6,-8)\)
B\((-2,2)\)
C\((-2,-8)\)
D\((6,2)\)
Question 2
What is the image of \((-5,3)\) after a reflection across the \(x\)-axis?
A\((5,3)\)
B\((5,-3)\)
C\((-5,-3)\)
D\((3,-5)\)
Question 3
What is the image of \((4,1)\) after a \(90^{\circ}\) counterclockwise rotation about the origin?
A\((1,-4)\)
B\((-4,-1)\)
C\((-1,4)\)
D\((-4,1)\)
Question 4
Which single motion maps triangle \(ABC\) onto triangle \(A^{\prime}B^{\prime}C^{\prime}\)?Triangle \(ABC\) and its image.
AReflection across the x-axis
BReflection across the y-axis
CRotation of 180 degrees about the origin
DTranslation 5 units left
Question 5
Which measures stay the same when a figure is rotated about the origin?
AOnly side lengths
BSide lengths and angle measures
COnly angle measures
DNeither side lengths nor angle measures
Question 6
The figure shows a translation. Which rule describes it?A segment with endpoint \(A(-3,2)\) and its image with endpoint \(A^{\prime}(2,-1)\).
A\((x,y)\to(x+5,\,y+3)\)
B\((x,y)\to(x-5,\,y-3)\)
C\((x,y)\to(x+3,\,y-5)\)
D\((x,y)\to(x+5,\,y-3)\)
Question 7
The point \((3,-5)\) is rotated \(90^{\circ}\) counterclockwise about the origin. Where does the image land?
A\((-5,-3)\)
B\((-3,5)\)
C\((5,3)\)
D\((3,5)\)
Question 8
Triangle \(A^{\prime}B^{\prime}C^{\prime}\) is a counterclockwise rotation of triangle \(ABC\) about the origin. What is the angle of rotation?Triangle \(ABC\) and its image.
A\(180^{\circ}\)
B\(270^{\circ}\)
C\(45^{\circ}\)
D\(90^{\circ}\)
Question 9
Two parallel lines are reflected across the \(x\)-axis. What is true about their images?
AThey are parallel.
BThey are perpendicular.
CThey cross at the origin.
DThey are no longer parallel.
Question 10
A triangle has a side of 9 cm and an angle of \(45^{\circ}\). It is rotated \(270^{\circ}\) about the origin. What are the side and angle of the image?
A\(9\text{ cm and }45^{\circ}\)
B\(9\text{ cm and }315^{\circ}\)
C\(18\text{ cm and }45^{\circ}\)
D\(9\text{ cm and }135^{\circ}\)
🎉 Quiz complete!
0 / 10
How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
Rigid motions keep segment lengths, angle measures and parallel lines, so the image is congruent to the pre-image.
Translation: (x, y) becomes (x + a, y + b).
Reflection across the x-axis: (x, -y). Across the y-axis: (-x, y).
Rotation about the origin, counterclockwise: 90 degrees (-y, x), 180 degrees (-x, -y), 270 degrees (y, -x).
The image of point A is written A prime.
How to use this grade 8 transformations quiz
Retake this grade 8 transformations quiz until every answer is right, then move on to the worksheet and the test.
