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Shapes on the Coordinate Plane

Explore geometric shapes, transformations, and properties using the coordinate plane for 8th-grade math students.

Grade 8 Math GeometryShapes on the Coordinate Plane
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.G.A.1CCSS.MATH.CONTENT.8.G.A.2CCSS.MATH.CONTENT.8.G.A.3

Topics

mathgeometrycoordinate planetransformationsgrade 8
6 sections · Free to use · Printable
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Shapes on the Coordinate Plane

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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?

a

Dilation

b

Translation

c

Shear

d

Stretch

2. What are the coordinates of the image of point (3, -2) after a reflection across the y-axis?

a

(3, 2)

b

(-3, -2)

c

(-3, 2)

d

(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).

-5-4-3-2-112345-5-4-3-2-112345

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.

T

True

F

False

8. Dilations always result in congruent figures.

T

True

F

False