Grade 10 Math: Geometric Translations

This worksheet focuses on understanding and performing geometric translations on the coordinate plane, including identifying translation rules and applying them to various shapes.

Grade 10 Math GeometryTransformationsTranslations

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Standards

CCSS.MATH.CONTENT.HSG.CO.A.2CCSS.MATH.CONTENT.HSG.CO.A.4CCSS.MATH.CONTENT.HSG.CO.A.5

Topics

mathgeometrytransformationstranslationsgrade 10

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Grade 10 Math: Geometric Translations

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Read each question carefully and follow the instructions. Show all your work where necessary.

1. Which of the following describes a translation?

Flipping a shape over a line.

Turning a shape around a point.

Sliding a shape from one position to another without rotating or flipping.

Resizing a shape.

2. A point (x, y) is translated by the rule (x+3, y-2). What are the coordinates of the new point if the original point was (1, 5)?

(4, 3)

(-2, 7)

(3, -2)

(1, 5)

3. A translation is a transformation that moves every point of a figure or a space by the same distance in a given .

4. If a triangle has vertices at A(1,1), B(3,1), and C(2,3) and is translated 2 units right and 1 unit up, the new coordinates of A' would be .

5. Describe the translation that maps triangle ABC to triangle A'B'C' if A=(1,2), B=(3,2), C=(2,4) and A'=(4,0), B'=(6,0), C'=(5,2).

6. Plot the points A(2, 3), B(5, 3), and C(4, 5) on the coordinate plane. Then, translate the triangle ABC by the rule (x-3, y-4) and label the new vertices A', B', C'.