Properties of Rotation, Reflection and Translations

Triangle RST is translated to Triangle R’S’T’. Point R(−5, −1) is translated to point R’(−1, −1). Which rule best describes the translation that created the image R’?

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Which of the following transformations does not preserve congruence?

• Dilation by a factor of ⅓

• Rotation of 180° clockwise

• Translation 2.5 units right

• Reflection across the y-axis

Triangle LMN is shown on the coordinate grid. If triangle LMN is reflected across the y-axis, which of the following best represents a vertex of the resulting triangle?

• (2, −6)

• (−9, −7)

• (−7, 2)

• (−2, 6)

Triangle A’L’T’ is a reflection across the x-axis of ALT. Which of the following is an algebraic representation of the transformation?

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Which statement about the properties of transformations is not true?

• A rotation maintains orientation, but not congruence.

• A translation maintains both congruence and orientation.

• A dilation maintains orientation, but not congruence.

• A reflection maintains congruence, but changes orientation.

Triangle CDE is transformed to create triangle C’D’E’. The coordinates of the pre-image and the image are shown below.

C(−6, 8) D(−4, 8) E(−5, 9)

C’(−8, −6) D’(−8, −4) E’(−9, −5)

Which describes the transformation?

• Translation 2 units left and 14 units down

• Rotation 180° clockwise

• Reflection over the x-axis

• Rotation 270° clockwise

Which representation of a transformation on a coordinate grid does not preserve congruence?

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Parallelogram JKLM shown is going to be rotated 270° clockwise to create J’K’L’M’. Which rule describes this transformation?

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Which of the following statements is true?

• (x – 7, y + 2) represents a translation 7 units down and 2 units to the right.

• (−x, −y) represents a rotation 180° clockwise.

• (x + 3.5, y + 3.5) represents a dilation with a scale factor of 3.5.

• (−x, y) represents a reflection over the x-axis.

Which rule represents the transformation shown?

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