Grade 11 Math: Geometric Translations

This worksheet focuses on understanding and performing translations of geometric figures on a coordinate plane, including vector notation and algebraic rules.

Grade 11 Math GeometryTransformationsTranslations

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2 Short AnswerMultiple ChoiceFill in the BlanksCustomTrue / False

Standards

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

Topics

mathgeometrytransformationstranslationsgrade 11

8 sections · Free to use · Printable

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Grade 11 Math: Geometric Translations

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Read each question carefully and follow the instructions to determine the translations of the given geometric figures. Show all your work for full credit.

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

2. A point (x, y) is translated by the vector ⟨-3, 5⟩. What are the coordinates of the new point?

(x+3, y+5)

(x-3, y-5)

(x-3, y+5)

(x+3, y-5)

3. If a triangle with vertices A(1, 2), B(4, 2), and C(3, 5) is translated by the rule (x, y) → (x + 2, y - 3), the new vertices will be A'( ), B'( ), and C'( ).

4. Graph the triangle with vertices D(0,0), E(4,0), and F(2,3). Then, translate the triangle by the vector ⟨-1, -2⟩ and label the new vertices D', E', F'.

5. A square ABCD is translated to A'B'C'D'. If A is at (2, -1) and A' is at (-3, 4), write the translation vector in component form.

6. A translation changes the size and orientation of a geometric figure.

True

False