Transformations Question Preview (ID: 56062)


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A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation, Which rule could represent this dilation?
a) (x, y)---(0.5-x, 0.5-y)
b) (x, y)---(x-7, y-7)
c) (x, y)---(5/4 x, 5/4 y)
d) (x, y)---(0.9x, 0.9y)

A polygon is graphed on a coordinate grid with (x, y) representing the location of a certain point on the polygon. The polygon is transformed using the rule (x, y)---(ac, ay). Which statement must be true?
a) If a is greater than 1, the image of the polygon is congruent to the polygon.
b) If a is between 0 and 1, the image of the polygon is congruent to the polygon.
c) If a is greater than 1, the image is the polygon is smaller than the polygon.
d) If a is between 0 and 1, the image of the polygon is smaller than the polygon.

If quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P'Q'R'S'. Which rule describes this transformation?
a) (x, y)---(x-5, y-3)
b) (x, y)---(x+5, y+3)
c) (x, y)---(x-3, y-5)
d) (x, y)---(x-3, y-5)

Which representation of a transformation on a coordinate grid does not preserve congruence?
a) (x, y)--- (-x, -y)
b) (x, y)--- (2x, 2y)
c) (x, y)--- (x-5, y+4)
d) (x, y)--- (-y, x)

A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence?
a) A reflection over the x-axis.
b) A translation 6 units up.
c) A dilation by a scale factor of 0.5.
d) A rotation of 90 degrees counterclockwise.

A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x , y), which ordered pair represents the center of the new circle after the transformation?
a) (x, y)
b) (x, -y)
c) (-x, y)
d) (-x, -y)

Triangle ABC was translated 2 units to the right and 3 units down. Which rule describes the translation that was applied to triangle ABC to create triangle A'B'C'?
a) (x, y)--- (x-2, y+3)
b) (x, y)--- (x-3, y+2)
c) (x, y)--- (x+2, y-3)
d) (x, y)--- (x-2, y-3)

Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation?
a) (x, y)--- (x, -y)
b) (x, y)--- (y, -x)
c) (x, y)--- (-x, -y)
d) (x, y)--- (-x, y)

A preschool has a rectangular field and a rectangular playground that are similar in shape. Each dimension of the field is 3.2 times the corresponding dimension of the playground. Which statement is true?
a) The area of the field is 6.4 times the area of the playground.
b) The area of the field is 10.24 times the area of the playground.
c) The perimeter of the field is 6.4 times the perimeter of the playground.
d) The perimeter of the field is 10.24 times the perimeter of the playground.

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 x-axis to create quadrilateral P'R'S'T'. Which rule describes this transformation?
a) (x, y)--- (x, -y)
b) (x, y)--- ( -x, y)
c) (x, y)--- (y, -x)
d) (x, y)--- ( -x, -y)

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