Transformations (TEKS 8.3C, 8.10C, 8.10D)

A figure is dilated on a coordinate grid to create a similar, smaller figure. The figure is dilated using the origin as the center of dilation. Which rule could represent this dilation?

• A. (x, y) --> (1.5 - x, 1.5 - y)

• B. (x, y) --> (x - 10, y - 10)

• C. (x, y) --> (7/3x, 7/3y)

• D. (x, y) --> (0.75x, 0.75y)

Tags

CCSS.8.G.A.3

A figure is graphed on a coordinate plane with (x, y) representing the location of a point on the figure. The figure is transformed using the rule (x, y) --> (ax, ay). Which statement is true?

• A. If a is greater than 1, the image of the figure is congruent to the figure.

• B. If a is between 0 and 1, the image of the figure is congruent to the figure.

• C. If a is greater than 1, the image of the figure is smaller than the figure.

• D. If a is between 0 and 1, the image of the figure is smaller than the figure.

Tags

CCSS.8.G.A.3

Triangle ABC is dilated by a scale factor of 2/3 to create triangle A'B'C'. The perimeter of triangle ABC is x units. What is the perimeter in units of triangle A'B'C'.

• A. x units

• B. 2/3x units

• C. (2/3)^2x units

• D. 3/2x units

Tags

CCSS.8.G.A.3

Quadrilateral ABCD was translated 3 units to the right and 4 units up to create quadrilateral A'B'C'D'. Which rule describes this transformation?

• A. (x, y) --> (x - 3, y - 4)

• B. (x, y) --> (x + 3, y + 4)

• C. (x, y) --> (x - 4, y - 3)

• D. (x, y) --> (x + 4, y + 3)

Tags

CCSS.HSG.CO.A.2

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

• A. (x, y) --> (2x, 2y)

• B. (x, y) --> (x + 2, y - 2)

• C. (x, y) --> (0.5x, 0.5y)

• D. (x, y) --> (x - 0.5, y - 1)

Tags

CCSS.HSG.CO.A.2

Quadrilateral E'F'G'H' is a transformation of EFGH. Which rule describes this transformation?

• A. (x, y) --> (x - 4, y + 6)

• B. (x, y) --> (x - 4, y - 6)

• C. (x, y) --> (x + 4, y + 6)

• D. (x, y) --> (x + 6, y + 4)

Tags

CCSS.HSG.CO.A.2

Pentagon R'S'T'U'V' is a transformation of RSTUV. Which rule describes this transformation?

• A. (x, y) --> (x, -y)

• B. (x, y) --> (-y, x)

• C. (x, y) --> (-x, -y)

• D. (x, y) --> (y, -x)

Tags

CCSS.HSG.CO.A.2

A figure is reflected across the y-axis to create a new figure. Which rules describes this transformation?

• A. (x, y) --> (-x, y)

• B. (x, y) --> (x, -y)

• C. (x, y) --> (-x, -y)

• D. (x, y) --> (y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A hexagon is graphed on a coordinate plane. The hexagon is dilated to create a larger hexagon, with the origin as the center of dilation. Which rule could represent this dilation?

• A. (x, y) --> (x + 7, y + 7)

• B. (x, y) --> (4/3x, 4/3y)

• C. (x, y) --> (1.2 + x, 1.2 + y)

• D. (x, y) --> (0.2x, 0.2y)

Tags

CCSS.8.G.A.3