WorksheetsQuarter 3, CW #1 - Unit 9 Review
Total questions: 30
Worksheet time: 30mins
The point (−7,4) is reflected over the line 𝑥 = −3. Then, the resulting point is reflected over the line 𝑦 = 𝑥. Where is the point located after both reflections?
(-10,-7)
(1,4)
(4,-7)
(4,1)
Point P is located at (4, 8) on a coordinate plane. Point P will be reflected over the x-axis. What will be the coordinates of the image of point P?
(4,-8)
(-4,8)
(-4,-8)
(8,4)
Point 𝐹′ is the image when point 𝐹 is reflected over the line 𝑥 = −2. The location of 𝐹′ is (3, 7). Which of the following is the location of point 𝐹?
(-7,-1)
(-7,7)
(1,5)
(1,7)
The graph of a figure and its image are shown below. Identify the transformation to map the image back onto the figure.
reflection
translation
rotation
dilation
The graph of a figure and its image are shown below. Identify the transformation to map the image back onto the figure.
reflection
translation
rotation
dilation
The graph of a figure and its image are shown below. Identify the transformation to map the image back onto the figure.
reflection
translation
rotation
dilation
The graph of a figure and its image are shown below. Identify the transformation to map the image back onto the figure.
reflection
translation
rotation
dilation
If triangle ABC is rotated 180 degrees about the origin, what are the coordinates of A′?
(5,4)
(4,5)
(-5,-4)
(-4,5)
What is the image of 𝑀(11, −4) using the translation (𝑥, 𝑦) → (𝑥 − 17, 𝑦 + 2)?
(-4,11)
(-11,4)
(6,2)
(-6,-2)
Which transformation maps the solid figure onto the dashed figure?
rotation 180° about the origin
translation to the right and down
reflection across the x-axis
reflection across the y-axis
A triangle has vertices at 𝐴(−7, 6), 𝐵(4, 9), 𝐶(−2, − 3). What are the coordinates of each vertex if the triangle is translated 4 units right and 6 units down?
𝐴’(−11, 12), 𝐵’(0, 15), 𝐶’(−6, 3)
𝐴’(−11, 0), 𝐵’(0, 3), 𝐶’(−6, − 9)
𝐴’(−3, 12),𝐵’(8, 15), 𝐶’(2, 3)
𝐴’(−3, 0), 𝐵’(8, 3), 𝐶’(2, − 9)
A glide reflection results in the same image as the pre-image.
always
sometimes
never
If you reflect a pre-image over two parallel lines, then it is the same as a REFLECTION.
always
sometimes
never
If you reflect a pre-image over two parallel lines, then it is the same as a TRANSLATION.
always
sometimes
never
If you reflect a pre-image over two INTERSECTING lines, then it is the same as a ROTATION.
always
sometimes
never
Translations are _______________ an isometry.
always
sometimes
never
Dilations are _______________ an isometry.
always
sometimes
never
Reflections are _______________ an isometry.
always
sometimes
never
Rotations are _______________ an isometry.
always
sometimes
never
Which of the following rules is the composition of a dilation of scale factor 3 followed by a translation of 2 units up?
𝐷3 ∘ 𝑡<2,0>
𝑡<2,0> ∘ 𝐷3
𝐷3 ∘ 𝑡<0,2>
t<0,2> ∘ 𝐷3
Select ALL that apply: Which of the sequences of transformations below would maintain congruence?
a translation and then a reflection
a dilation and then a translation
a rotation and then a dilation
a rotation and then a reflection
a translation and then a rotation
The preimage is the highlighted figure in Quadrant I. Which figure represents a reflection of the preimage across the x-axis?
Figure A
Figure B
Figure C
Consider the translation that is defined by the coordinate notation (x, y) → (x + 5, y – 6). What is the pre-image of (12, – 2)?
(7, 4)
(17, -8)
(2,-12)
(-12,2)
reflect over x-axis
(x, -y)
reflect over y-axis
(-x, y)
reflect over y = x
(y, x)
reflect over y = -x
(-y, -x)
Match the following
(-y, x)
(-x, -y)
(y, -x)
REFLECTION
ROTATION
TRANSLATION
DILATION
SAME SLOPE
OPPOSITE RECIPROCAL SLOPES
GLIDE REFLECTION
REFLECTION
ROTATION
TRANSLATION
DILATION
SAME SLOPE
OPPOSITE RECIPROCAL SLOPES
GLIDE REFLECTION
REFLECTION
ROTATION
TRANSLATION
DILATION
Y = 4X - 7 & Y = 4X + 5
Y = 1/2X & Y = -2X
GLIDE REFLECTION
REFLECTION
ROTATION
TRANSLATION
Y = 4X - 7 & Y = 4X + 5
Y = 1/2X & Y = -2X
GLIDE REFLECTION
Y = 3X + 2 & Y = 3X - 4
Y = 2X + 1 & Y = 2X - 3
Y = 5X + 8 & Y = 5X - 6
Y = 6X + 3 & Y = 6X - 9
Y = 3X + 2 & Y = -1/3X + 4
Y = 2X - 1 & Y = -1/2X + 3
Y = 5X + 1 & Y = -1/5X + 6
Y = 4X - 3 & Y = -1/4X + 7
DILATION
Match the following ALGEBRAIC NOTATION WITH ITS FUNCTION NOTATION
(X,Y)-->(X + 5, Y - 8)
Y = F(X-5) - 8
(X,Y)-->(X - 2, Y + 4)
Y = F(X+2) + 4
(X,Y)-->(X + 2, Y - 4)
Y = F(X-2) - 4
(X,Y)-->(X - 5, Y + 8)
Y = F(X+5) + 8
(X,Y)-->(X - 6, Y - 4)
Y = F(X+6) - 4
