Dilations Practice
Some questions (c) 2015 by Region 10 Educational Service Center.
Some questions (c) 2015 by TEKS Resource System.
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1
Triangle ABC is dilated from the origin with a scale factor of 3. Which of the following is the new coordinate for point A? A (3x, 3y)
B (x+3, y+3)
C
(1/3x, 1/3y)
D (x-3, y-3)
2 Look at point T on the pentagon below.
If the pentagon is dilated by a scale factor of 1/2 from the origin, what will be the new
location of point T.
F
(2x, 2y)
G
(x+2, y+2)
H (1/2x, 1/2y)
J
(x+1/2, y+1/2)
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3
The triangle below has been dilated. Write the algebraic representation that represents
this dilation.
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4 A rectangle has vertices E(-4, 8), F(2,
8), G(2, -2) and H(-4, -2). The
rectangle is dilated so that G' is located
at (5, -5). Which algebraic
representation represents this dilation?
F
G
H
J
5
Triangle RST with vertices R(-8, 2), S(8, -6) and T (4, -6) is dilated by a scale
factor of . Which statement is false?
A Triangle RST is smaller than
triangle R'S'T'.
B The algebraic representation for the
dilation is (x, y) → (1.5x, 1.5y).
C
Triangle RST is bigger than triangle
R'S'T'.
D Trianlge RST and R'S'T' are similar.
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6 Quadrilateral ABCD was dilated with the origin as the center of dilation to create
quadrilateral A'B'C'D.
Which rule best represents the dilation that was applied to quadrilateral ABCD to create
quadrilateral A'B'C'D ?
F
(x, y) → (0.4x, 0.4y)
G
(x, y) → (x + 3, y + 1.5)
H (x, y) → (2.5x, 2.5y)
J
(x, y) → (x - 1.5, y + 3)
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7
Triangle ABC and its dilation, triangle A'B'C', are shown below.
Which statement about triangle ABC and triangle A’B’C’ is true?
A The angles of triangle A’B’C’ will be 1.5 times greater than the angles of triangle ABC.
B The angles of triangle A’B’C’ will be of the angles of triangle ABC.
C
The side lengths of triangle A’B’C’ are 1.5 times the side lengths of triangle ABC.
D The side lengths of triangle A’B’C’ are of the side lengths of triangle ABC.
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8 The vertices of triangle PQR are (–2, –1), (–1, –2), and (–5, –3).
What would be the triangle's coordinates after it is translated two units to the left and three
units up, as an algebraic representation?
What are the new coordinates?
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9 The coordinate plane below shows triangle ABC and its translation triangle A' B' C'.
Which of these rules BEST describes this translation?
A (x, y - 1)
B (x + 4, y + 2)
C
(x - 4, y - 2)
D (x + 4, y - 2)
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10
Triangle ABC is reflected over the
y-axis. The coordinates of Point A are
(–3, –1). What are the coordinates of
Point A', the reflected image?
F
(3, 1)
G
(–3, 1)
H (–3, –1)
J
(3, –1)
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11
Which ordered pairs represent the reflection of Point A across the x-axis using an algebraic
representation?
A (x, -y)
B (-x, y)
C
(-x, -y)
D (x, y)
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12
A figure is graphed on a coordinate grid as shown.
The figure is rotated 180° clockwise with the origin as the center of rotation to create a
new figure. Which rule describes this transformation?
F
(x, y) → (−x, −y)
G
(x, y) → (x, −y)
H (x, y) → (−y , −x)
J
(x, y) → (−x, y)
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