Transformation Test Review

Triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation?

• (x, y) → (6x, -4y)

• (x, y) → (−6x, 4y)

• (x, y) → (x + 6, y - 4)

• (x, y) → (x - 6, y + 4)

The coordinate grid shows parallelogram PQRS. Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation?

• (x, y) → (−y, x)

• (x, y) → (−x, y)

• (x, y) → (y, x)

• (x, y) → (y, −x)

The coordinates of the vertices of a quadrilateral are P (1, 2), R (1, 4), S (3, 4), and T (4, 2). Quadrilateral PRST is reflected across the y-axis to create quadrilateral P'R'S'T'.

Which rule describes this transformation and where would point T' be after the transformation?

(CHOOSE TWO - RULE AND POINT)

• (x, y) → (x, -y)

• (x, y) → (−x, y)

• (x, y) → (y, −x)

• T' (4, -2)

• T' (-4, 2)

Circle I was dilated with the origin as the center of dilation to create Circle II.

Which scale factor and rule best represents the dilation applied to Circle I to create Circle II?

(CHOOSE TWO - SCALE FACTOR AND RULE)

• scale factor =

  8/3

• scale factor = 3/8

• rule =

  (x, y) → (x + 5, y + 5)

• rule =

  (x, y) → (3/8 x, 3/8 y)

• rule =

  (x, y) → (8/3 x, 8/3 y)

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

• (x, y) → (1/7x, 1/7y)

• (x, y) → (x + 7, y + 7)

• (x, y) → (x, -y)

• (x, y) → (y, -x)

This point is rotated 270* clockwise about the origin.

Which rule would be used and where would the point end up?

(CHOOSE TWO ANSWERS - RULE AND POINT)

• (x, y) -> (-y, x)

• (x, y) -> (y, -x)

• (x, y) -> (-x, y)

• (-4, -2)

• (-2, -4)

Figure S was dilated with the origin as the center of dilation to create Figure T.

Which rule best represents the dilation that was applied to Figure S to create Figure T?

• (x, y) → (2x, 2y)

• (x, y) → (4x, 4y)

• (x, y) → (1/2 x, 1/2 y)

• (x, y) → (1/4 x, 1/4 y)

Quadrilateral ABCD is dilated about the origin to make quadrilateral A'B'C'D'. Which of these statements is NOT true?

• Quadrilateral ABCD and A'B'C'D' are similar figures and have the same orientation.

• The angles of quadrilateral ABCD and quadrilateral A'B'C'D' are congruent.

• The side lengths of quadrilateral ABCD and quadrilateral A'B'C'D' are proportional.

• Quadrilateral ABCD and A'B'C'D' are congruent figures and have the same orientation.

In the diagram, a person who is 6 ft tall is standing on the ground 3 ft away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles.

Which proportion can be used to find h, the height of the building?

• 
• 
• 
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Pentagon MNOPQ is dilated using the rule (x, y) --> (1/4x, 1/4y) to create pentagon M'N'O'P'Q'. Which statement is true about the new image?

• Pentagon M'N'O'P'Q' is larger because the scale factor is greater than 1.

• Pentagon M'N'O'P'Q' is larger because the scale factor is less than 1.

• Pentagon M'N'O'P'Q' is smaller because the scale factor is greater than 1.

• Pentagon M'N'O'P'Q' is smaller because the scale factor is less than 1.