Math Grade 8 Quiz Effects of Transformations on Coordinates – 8.G.A.3
In coordinate geometry, transformations such as dilations, translations, rotations, and reflections change the position and size of two-dimensional figures. Each transformation has a specific effect on the coordinates of the figure. Understanding these effects helps in predicting the new position or appearance of the figure after the transformation.
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Question 1 of 10
1. Question
What happens to the coordinates of a point (x, y) when it is translated 4 units to the right?
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Question 2 of 10
2. Question
If a point is reflected over the x-axis, its coordinates change from (x, y) to:
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Question 3 of 10
3. Question
When a figure is dilated from the origin by a scale factor of 2, the coordinates of a point (x, y) become:
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Question 4 of 10
4. Question
A 90° counterclockwise rotation about the origin of point (x, y) results in which new coordinates?
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Question 5 of 10
5. Question
Which transformation does not alter the orientation of the figure?
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Question 6 of 10
6. Question
A reflection of point (x, y) over the line y = x will result in:
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Question 7 of 10
7. Question
How do the coordinates of point (x, y) change when it undergoes a translation of 3 units down?
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Question 8 of 10
8. Question
What happens to a point (x, y) when reflected over the y-axis?
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Question 9 of 10
9. Question
Which transformation preserves the size of a figure?
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Question 10 of 10
10. Question
If point (3, 4) is dilated by a scale factor of 0.5 with respect to the origin, its new coordinates will be:
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