WorksheetsDay 7 Transformations (KAP)
Total questions: 44
Worksheet time: 54mins
What is the result of reflecting the point (3, -2) across the y-axis?
(-3, -2)
(3, 2)
(-3, 2)
(3, -2)
What is the result of rotating the point (1, 2) 180° about the origin?
(-1, -2)
(1, -2)
(-1, 2)
(2, -1)
What is the result of dilating a point (2, 3) by a scale factor of 2 with the center at the origin?
(4, 6)
(1, 1.5)
(2, 3)
(0, 0)
Which transformation(s) is/are not a rigid transformation? (circle all that apply)
Dilation
Reflection
Rotation
Translation
(x, y) ----> (x + 2, y - 3)
Write a rule for the translation.
(x -1, y + 2)
(x -2, y + 1)
(x +2, y - 1)
(x +1, y - 2)
Not enough information to write a rule.
Identify the transformation from ABC to A'B'C'.
90o clockwise rotation
90o counter clockwise rotation
Reflection across the y-axis
Reflection across the x-axis
Translation down 2 units
Identify the transformation from ABCD to A'B'C'D'.
Translation (x,y) -->(x-7,y)
Reflection across the y-axis
Reflection across the x-axis
90o counter clockwise Rotation
Translation (x,y) --> (x+7, y)
Which rule would dilate shows a scale factor of 4
(x, y) → (y, x)
(x, y) → (x + 4, y + 4)
(x, y) → (x - 4, y -4)
(x, y) → (4x, 4y)
(x, y) → (1/4x, 1/4y)
What is the rule for the dilation pictured below?
(x, y) → (½x, ½y)
(x, y) → (x + 2, y + 2)
(x, y) → (2x, 2y)
(x, y) → (2x, 3y)
(x, y) → (1/3x, 1/3y)
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
(5,3), (6,2), (1,-2)
(6,0), (9,-3), (-6,-15)
(2/3,0), (1,-1/3), (-2/3,-5/3)
(-1,-3), (0,-4), (-5,-8)
Not enough information
Which of the following describes the sequence of transformations shown?
Reflect across the x-axis and then rotate -90 (clockwise) around the origin
Rotate -90 (clockwise) degrees around the origin and then translate down.
Reflect across the x-axis and then reflect across the y-axis.
Translate up and then rotate 90 (counterclockwise) degrees about the origin.
Y-Axis reflection and then a x-axis reflection.
Dilate Point B by a scale factor of 1/2
(1.5,-4)
(-1.5,1)
(-1,-1.5)
(-2,-2)
(-6,4)
Choose the correct transformations
rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis
right 1, down 4, and then reflection over the y-axis
right 6, and then reflection over the x-axis
reflection over the line y=x, and then translate up 4, right 2
reflection over the x-axis, and then rotate 90 degrees clockwise around the origin
Describe the transformations that map ABC onto A"B"C"
translate 5 up and 1 left then reflect over y
translate 5 down and 1 left, then reflect over y
reflect over y=x then translate left 8
reflect over x then rotate 90 clockwise
reflect over the x-axis then translate 4 to the right
Name the series of transformations that maps ABC onto DEF
reflect over x then translate left 6 up 1
reflect over y then translate down 6 left 1
translate right 6 down 1, then reflect over x
rotate 90 clockwise then reflect over y
reflect over y then right 6 down 1
What is the scale factor of the transformation shown?
(a)
What is the rule for the following reflection?
Reflection across y = −2
Reflection across x = −2
Reflection across x = 2
Reflection across y = 2
Reflection across y = x
The rule for reflection over the x-axis is
(x, y) --> _
(-x, y)
(x, -y)
(y, x)
(-y, -x)
(-x,-y)
The rule for rotation of 90 degrees counterclockwise is
(x, y) --> _
(y, -x)
(-y, x)
(x, -y)
(-x, y)
(-x,-y)
The rule for rotation of 180 degrees is
(x, y) --> _
(-y, x)
(-x, -y)
(y, -x)
(-y, -x)
(-x, y)
Which rule describes the action of the coordinates when a figure is reflected over the line y = x?
(x, y)→(-y, -x)
(x, y)→(-x, y)
(x, y)→(-x, -y)
(x, y)→(y, x)
(x, y)→(-y, x)
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a reflection followed by a rotation
a reflection followed by a translation
a translation followed by a rotation
a translation followed by a reflection
a rotation followed by a translation
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
(a)
Given C(2, 9), under which reflection is C'(-2, 9)?
reflected in the x-axis
reflected in the y-axis
reflected in the line x = 2
reflected in the line y = x
reflected in the line y = -x
Which pair have a line of reflection of x = -2?
A & B
B & C
G & H
E & F
F & D
Which rule would result in a translation of 2 units left and 3 units up?
(x, y) → (2x, 3y)
(x, y) → (x - 2, y + 3)
(x, y) → (3x, 2y)
(x, y) → (x + 2, y - 3)
(x, y) → (-2x, -3y)
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
½
¼
4
2
1/6
Which pair have a line of reflection of x = -3?
A & B
B & C
G & H
E & F
D & F
Describe the transformation from E to H. Check all that apply
rotation 270° Counter-Clockwise
rotation 270° Clockwise
rotation 90° Counter-Clockwise
reflection across y-axis
rotation 90° Clockwise
What type of transformation is this, and what is the rule of the transformation?
translation: (x,y) --> (x+3, y+3)
translation (x,y) -->(2x,2y)
reflection: (x,y) --> (1/2x, 1/2y)
dilation: (x,y) --> (x+3, y+3)
dilation: (x,y) --> (3x, 3y)
Which picture shows a TRANSLATION, choose all that apply?
