Transformations Unit Review

Which of the following algebraic rules represents a dilation that is an enlargement?

• (1/3x, 1/3y)

• (0.1x, 0.1y)

• (5/6x, 5/6y)

• (5/2x, 5/2y)

A triangle in quadrant II is going to be reflected over the y-axis. Which of the following is a true statement?

• A. The image will be in quadrant III.

• B. The orientation of the figure will not change.

• C. The orientation of the vertices will change.

• D. The image and the pre-image will not be congruent.

A figure in quadrant II was transformed, and the image is in quadrant III. Which could not have been the transformation?

• A. A rotation 90° clockwise

• B. A reflection over the x-axis

• C. A translation down

• D. A rotation 270° clockwise

A figure is going to be dilated by a scale factor of 3.5. Which of the following describes the effect of the dilation on the area of the figure?

• A. The area will change by a factor of 3.5.

• B. The area will change by a factor of 7.

• C. The area will change by a factor of 12.25.

• D. The area will change by a factor of 49.

A figure on a coordinate plane was transformed using the rule (x, y) → (-x, y). Which best describes the transformation?

• A. A rotation 90° clockwise

• B. A reflection over the x-axis

• C. A rotation 180° clockwise

• D. A reflection over the y-axis

A figure has a perimeter of 40 units and an area of 100 units². Which of the following describes the new perimeter and area after the figure is dilated by a scale factor of 1/2?

• A. Perimeter: 20 units; Area: 50 units²

• B. Perimeter: 20 units; Area: 25 units²

• C. Perimeter: 10 units; Area: 25 units²

• D. Perimeter: 80 units; Area: 200 units²

Which of the following transformations create similar figures?

• translation

• reflection

• rotation

• dilation

• all of these create similar figures

What transformation is shown here?

• translation

• rotation

• reflection

• dilation

What sequence of transformations maps RST onto ABC?

• A reflection across the x-axis followed by a dilation by a scale factor of 2.

• A reflection across the y-axis followed by a dilation by a scale factor of 2.

• A reflection across the y-axis followed by a dilation by a scale factor of 3.

• A reflection across the y-axis followed by a dilation by a scale factor of 1/2.

Which of the following shows a translation of the figure shown here?

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