Shapes on the Coordinate Plane
Explore geometric shapes, transformations, and properties using the coordinate plane for 8th-grade math students.
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Shapes on the Coordinate Plane
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which transformation moves a figure without changing its size or shape?
Dilation
Translation
Shear
Stretch
2. What are the coordinates of the image of point (3, -2) after a reflection across the y-axis?
(3, 2)
(-3, -2)
(-3, 2)
(2, 3)
3. A is a transformation that turns a figure about a fixed point.
4. When a figure is dilated, its size , but its shape .
5. Plot the following points on the coordinate plane below and connect them in order to form a quadrilateral: A(1, 1), B(4, 1), C(4, 3), D(1, 3).
6. Describe the transformation that maps triangle ABC with vertices A(0,0), B(3,0), C(0,4) to triangle A'B'C' with vertices A'(0,0), B'(6,0), C'(0,8).
7. A reflection across the x-axis changes the sign of the x-coordinate.
True
False
8. Dilations always result in congruent figures.
True
False
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