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Transformations
Test Description: STAAR Review
Instructions: Answer all questions to get your test result.
1) 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)---(0.9x, 0.9y)
B
(x, y)---(5/4 x, 5/4 y)
C
(x, y)---(0.5-x, 0.5-y)
D
(x, y)---(x-7, y-7)
2) 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 between 0 and 1, the image of the polygon is congruent to the polygon.
B
If a is greater than 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.
3) 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-3, y-5)
B
(x, y)---(x-3, y-5)
C
(x, y)---(x+5, y+3)
D
(x, y)---(x-5, y-3)
4) Which representation of a transformation on a coordinate grid does not preserve congruence?
A
(x, y)--- (-y, x)
B
(x, y)--- (2x, 2y)
C
(x, y)--- (x-5, y+4)
D
(x, y)--- (-x, -y)
5) 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 rotation of 90 degrees counterclockwise.
C
A translation 6 units up.
D
A dilation by a scale factor of 0.5.
6) 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)
7) 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)
8) 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)--- (-x, y)
C
(x, y)--- (y, -x)
D
(x, y)--- (-x, -y)
9) 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 10.24 times the area of the playground.
B
The perimeter of the field is 10.24 times the perimeter of the playground.
C
The area of the field is 6.4 times the area of the playground.
D
The perimeter of the field is 6.4 times the perimeter of the playground.
10) 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)--- ( -x, y)
D
(x, y)--- (y, -x)
*select an answer for all questions
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