Grade 12 Math: Translations Worksheet

This worksheet focuses on understanding and applying translations in coordinate geometry for Grade 12 students.

Grade 12 Math GeometryTransformationsTranslations

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

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

Topics

mathgeometrytransformationstranslationsgrade 12

8 sections · Free to use · Printable

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Grade 12 Math: Translations

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Define a translation in your own words, and explain how it differs from a rotation or reflection.

2. A point (x, y) is translated by the vector <a, b>. What are the coordinates of the translated point?

(x-a, y-b)

(x+a, y+b)

(ax, by)

(x/a, y/b)

3. A triangle with vertices A(1, 2), B(4, 2), and C(2, 5) is translated by the vector <-3, 1>. The new coordinates of A' are , B' are , and C' are .

4. Plot the rectangle with vertices (0,0), (4,0), (4,2), and (0,2) on the coordinate plane below. Then, translate the rectangle by the vector <2, -3> and plot its image.

5. A translation changes the size and shape of a geometric figure.

True

False

6. A point P is translated to P'(-2, 7). If the original point P was (3, 4), write the translation vector in component form.