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WorksheetsTranslations Pt 2
Total questions: 67
Worksheet time: 4hrs 21mins
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
(-4,-3)
(-4,3)
(4,-3)
(3,4)
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
(-5, 5)
(-3, 5)
(-5, 3)
(-3, 3)
Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?
(5, 3)
(-5, -3)
(3, -5)
(-5, 3)
Find the image of triangle ABC after rotating 90 degrees counterclockwise about the origin. What are the coordinates of C' ?
(3, -4)
(-4, -3)
(4, 3)
(-3, 4)
What would be the location of A' after a 90 degree counterclockwise rotation of point (A) ?
Hint: Look for point A and apply the rule (x, y) → (–y, x)
(-1, 2)
(2, -1)
(-2, -1)
(-1, -2)
What are the coordinates of a 180 degree counter clockwise rotation of (-4, 1).
(-4, 1)
(-1, -4)
(1, -4)
(4, -1)
A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed 180 degree counterclockwise.
Which statements are true regarding the transformation? Select three options.
The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of M' are (–4,4).
The coordinates of N' are (6,–1).
The coordinates of N' are (–1,–6).
Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.
(-8,5)
(8,-5)
(8,5)
(5,-8)
Which rule describes rotating 180° clockwise?
( x, y ) → ( y, -x )
( x, y ) → ( -x, -y )
( x, y) → ( x, y )
( x, y ) → ( -y, x )
What is the image of F (-2, 7) after a rotation of 180° clockwise?
F' (-2, -7)
F' (7, -2)
F' (2, -7)
F' (2, 7)
What is the image of J (8, -6) after a rotation of 180° counterclockwise?
J' (8, 6)
J' (-6, 8)
J' (-8, 6)
J ' (-8, -6)
Describe the given rotation.
Select ALL that apply.
90° counterclockwise
180° clockwise
90° clockwise
270° clockwise
270° counterclockwise
Triangle A is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
A
B
C
D
Triangle C is rotated 360° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
A
B
C
D
Which rule describes rotating 270° clockwise?
( x, y ) → ( y, -x )
( x, y ) → ( -x, -y )
( x, y) → ( x, y )
( x, y ) → ( -y, x )
Which rule describes rotating 90° clockwise?
( x, y ) → ( y, -x )
( x, y ) → ( -x, -y )
( x, y) → ( x, y )
( x, y ) → ( -y, x )
Rotate K (7, 8) around the origin 90° counterclockwise. State the image of K'.
K' (-7, -8)
K' (8, -7)
K' (-8, 7)
K' (8, 7)
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
A
B
C
D
Rotation Rules (clockwise):
90o rotation: (x, y)→(y, -x)
What are the coordinates for A' after a 90⁰ rotation clockwise?
(1, 3)
(3, 1)
(3, -1)
(1, -3)
Rotation Rules (clockwise):
180o rotation: (x, y)→(-x, -y)
What are the coordinates of C' after a rotation of 180° clockwise?
(-3, -1)
(3,1)
(1,3)
(-1, -3)
Rotation Rules (clockwise):
270o rotation: (x, y)→(-y, x)
What are the coordinates of B' after a 270° clockwise?
(4, 4)
(4, -4)
(-3, 4)
(-4, 4)
A
B
C
D
A
B
C
D
A
B
C
D
A(3,3) B(6,6) C(9,3)
What type of transformation is this?
rotation
translation
reflection
dilation
What type of transformation is this?
rotation
translation
reflection
dilation
What type of transformation is this?
rotation
translation
reflection
dilation
What type of transformation is this?
rotation
translation
reflection
dilation
A dilation produces a similar figure
True
False
When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).
True
False
An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.
True
False
Triangle DEF has vertices D(2,0), E(1,-2), and F(2,1). The triangle is rotated 90˚clockwise about the origin.What are the coordinates of vertex F' ?
(-2, -1)
(-1, -2)
(1, -2)
(-2, 1)
Find the coordinates of A' if ΔABC is reflected across the y-axis.
(1, -2)
(-1, 2)
(-1, -2)
(1, 2)
What will be the coordinates of point V after a reflection of ΔUVW across the x-axis?
(-4, 4)
(-4, 1)
(4, -4)
(4, -1)
What will be the coordinates of point V after a reflection of ΔUVW across the x-axis?
(-4, 4)
(-4, 1)
(4, -4)
(4, -1)
Find the coordinates of A' if ΔABC is reflected across the y-axis.
(1, -2)
(-1, 2)
(-1, -2)
(1, 2)
Describe the translations that were applied to quadrilateral ABCD when it was translated to quadrilateral A'B'C'D'
down 1 unit, left 5 units
down 4 units, left 9 units
5 units right, 1 unit up
9 units right, 4 units up
Which of the following sets of pre-images and images show a rotation?
Determine where x' would be if you translated x 3 units to the left and 9 units down.
(-4, 4)
(-10, 2)
(-4, -5)
(-1, 5)
Determine where x' would be if you translated x 3 units to the left and 9 units down.
(-4, 4)
(-10, 2)
(-4, -5)
(-1, 5)
What type of rotation does this represent (from red to blue)?
270⁰ clockwise
360⁰
90⁰ counterclockwise
180⁰
Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1)
What are the coordinates of K'?
(6, 3)
(7, 3)
(7, 1)
(5, 3)
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)
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
(5,3)
(20,12)
(-20,-12)
(-5,-3)
Choose the correct scale factor to get from the preimage (black) to the image (blue):
2
3
1/3
1/2
Find the image of triangle ABC after rotating 90 degrees counterclockwise about the origin. What are the coordinates of C' ?
(3, -4)
(-4, -3)
(4, 3)
(-3, 4)
What would be the location of A' after a 90 degree counterclockwise rotation of point (A) ?
Hint: Look for point A and apply the rule (x, y) → (–y, x)
(-1, 2)
(2, -1)
(-2, -1)
(-1, -2)
The original point that is to be transformed is called the:
Pre-Image
Image
Post-Image
Transformation
Square ABCD is translated by the rule (x – 3, y + 1). What are the coordinates of D′?
Point D is (1,3)
(–2, 4)
(4, 2)
(0, 0)
(–3, 4)
What is the translation?
(x - 4, y + 5)
(x + 5, y - 4)
(x + 4, y - 5)
(x - 4, y - 5)
Which picture shows a TRANSLATION?
Which picture shows a TRANSLATION?
