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Worksheets8-CHAPTER 2 REVIEW
Total questions: 180
Worksheet time: 9hrs 22mins
Slide 3 up and 2 right
When translating left or right on a coordinate plane, what coordinate is affected?
x-coordinate
y-coordinate
When translating up or down on a coordinate plane, what coordinate is affected?
x-coordinate
y-coordinate
(x, y) -----> (x, y +4)
Translate shape B to shape A...
5 Right
3 Up
5 Left
3 Down
3 Right
3 Up
3 Left
3 Down
Slide 3 up and 2 right
Translate the blue shape to the pink shape... #1
5 Right
2 Down
5 Left
2 Up
3 Right
1 Down
3 Left
1 Up
What type of transformation is shown by this rule? #6
(x, y) → (x + 3, y)?
Rotation
Reflection
Translation
Dilation
Original point: (8, -4)
New point: (5, -1)
What is the algebraic rule? #17
(x, y) → (x + 3, y + 3)
(x, y) → (x - 3, y + 3)
(x, y) → (x - 3, y - 3)
(x, y) → (x + 3, y - 3)
Level 3: Point K (4, 2) is translated using this rule:
(x, y) → (x + 3, y - 1)
What are the coordinates of K'? #26
(6, 3)
(7, 3)
(7, 1)
(5, 3)
What is another name for a translation?
Slide
Flip
Mirror
Select the picture showing a translation of:
2 squares right and 1 square up
Select the picture showing a translation of:
4 squares right and 1 square up
Determine where T' would be if you translated T 3 units to the right and 6 units up.
(5, 1)
(2, -5)
(-1, 1)
(8, -2)
Translate the blue shape to the green shape...
3 Left
3 Down
3 Right
3 Up
2 Right
3 Up
2 Left
3 Down
Translate the blue shape to the green shape...
5 Right
2 Up
5 Left
2 Down
5 Right
5 Up
5 Left
5 Down
Which triangle is a translation of triangle X?
triangle A
triangle B
triangle C
triangle D
Which shows this triangle when it is translated two units left?
A flip is also called ___________.
Translation
Reflection
Rotation
Transformation
Reflect (5, 9) over the y-axis.
(-5,9)
(-5,-9)
(5,-9)
Reflect (-2, 6) over the y-axis.
(2,6)
(-2,-6)
(-2,6)
Reflect (4, 0) over the y-axis.
(-4,0)
(0,4)
(0,-4)
Reflect (-7, -9) over the y-axis.
(7,-9)
(-7,-9)
(7,9)
Reflect (8, 4) over the y-axis.
(-8,4)
(-8,-4)
(8,-4)
Reflect (2,1) over the x-axis.
(-2,1)
(-2,-1)
(2,-1)
Reflect (-7, 3) over the x-axis.
(7,3)
(-7,3)
(-7,-3)
Reflect (-3, -5) over the x-axis.
(3,5)
(3,-5)
(-3,5)
Reflect (9, -5) over the x-axis.
(-9,-5)
(-9,5)
(9,5)
Reflect (0,-8) over the x-axis.
(-8,0)
(8,0)
(0,8)
What are the coordinates of A' if point A is reflected across the y-axis?
(3,-3)
(0,3)
(3,3)
(-3,3)
What are the coordinates of C' if point C is reflected across the x-axis?
(2,2)
(-2,2)
(2,-2)
(0,2)
What does this show?
reflection over the y-axis
reflection over the origin
reflection over the x-axis
What is the reflection of C (0,-4) over the x-axis?
C' (-0, 4)
C' (4, 0)
C' (0, 4)
C' (-4, 0)
Level 1 Reflections over the x-axis change the ____-__________.
y-coordinate
x-coordinate
Level 2 Point C (-5, 4) is reflected over the x-axis. What are the coordinates of C'?
(5, 4)
(-5, -4)
(5, -4)
(-5, 4)
Level 3 Find K' if the figure is reflected across the x-axis
(4, 1)
(-1, -4)
(1, -4)
(1, 4)
Level 3 Reflect over x-axis. Which point would be at (3, -6)
A
B
C
H
What would be the coordinates of point K if it was reflected over the Y-axis?
(-5, 2)
(5, 2)
(5, -2)
True or false: Reflections keep the shape of a figure the same.
True
False
Reflect over the line y = x
What point do you get if you reflect the point ( -6,1) over the line y = -x?
(-1,-6)
(6,-1)
(1,6)
(-1,6)
Reflections over the x-axis change the __________.
y-coordinate
x-coordinate
Is the reflection shown a reflection over the x or y axis?
X axis
Y axis
Is the reflection shown a reflection over the x or y axis?
x axis
y axis
Is the reflection shown a reflection over the x or y axis?
x axis
y axis
Is the reflection shown a reflection over the x or y axis?
x axis
y axis
If A(2,5) was reflected over the Y-AXIS, what would the coordinated of A' be?
A'(2,-5)
A'(-2,5)
A'(5,2)
A'(5,-2)
If F(-2,4) was reflected over the Y-AXIS, what would the coordinated of F' be?
F'(-2,-4)
F'(2,-4)
F'(2,4)
F'(-2,4)
Point P(2,8) is reflected across the line which has an equation y = 0. What are the coordinates of the image of point P
(2, 0)
(2, 8)
(2, -8)
(-2, 8)
What is the rule for a point A(-3,-5) reflecting over a line which has an equation y = -x
(x,y) ----> (-y, -x)
(x,y) -----> (-x, -y)
(x,y) ------> (y, x)
(x,y) -------> (-y, x)
What is the rule if a point is reflected over the line which has an equation y = x?
(x,y) -----> (y,y)
(x,y) -----> (y,x)
(x,y) ------> (-x,y)
(x,y) ------> (-y, -x)
Point R(-3,-4) was reflected over a line with an equation of y=-x. What are the coordinates of R'?
R'(-4,-3)
R'(3,4)
R'(4,3)
R'(-4,3)
Segment AB which has the coordinates of A(1,4) and B(1,10) has reflected over a line that has an equation of y = 2. What are the coordinates of A' and B'?
A'(3,4) B'(3,10)
A'(1,0) B'(1,10)
A'(1,6) B'(1,12)
A'(1,2) B'(1,8)
A
B
C
D
E
A
B
C
D
E
What is the image of point (4, −1) after a reflection in the line y=−2 ?
(4,−3)
(−4, 3)
(4,1)
(−4,1)
What is the image of point (−2,5) after a reflection in the line y=−x ?
(−2,−5)
(2,−5)
(5,−2)
(−5,2)
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)
What is the angle of the clockwise rotation?
90°
180°
270°
Triangle A is rotated 270° 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)
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)
What are the coordinates of a 180 degree counter clockwise rotation of (-4, 1).
(-4, 1)
(-1, -4)
(1, -4)
(4, -1)
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)
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point.
(2,5)
(2,-5)
(-2,5)
(-5,-2)
What is the only rule that will flip the order of x and y?
180 degree rotation
90 degree or 270 degree rotation
Reflection over the y-axis
Which way has this F been rotated
Up
Across
Clockwise
Anit-clockwise
If I rotate a picture by a full circle, how far has it gone?
90°
180°
270°
360°
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)
What is the angle of the clockwise rotation?
90°
180°
270°
Triangle A is rotated 270° 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)
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)
What are the coordinates of a 180 degree counter clockwise rotation of (-4, 1).
(-4, 1)
(-1, -4)
(1, -4)
(4, -1)
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)
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point.
(2,5)
(2,-5)
(-2,5)
(-5,-2)
What is the only rule that will flip the order of x and y?
180 degree rotation
90 degree or 270 degree rotation
Reflection over the y-axis
Which way has this F been rotated
Up
Across
Clockwise
Anit-clockwise
If I rotate a picture by a full circle, how far has it gone?
90°
180°
270°
360°
The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?
½
¼
4
2
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.
B' (2 , 4.5)
B' (-8 ,-18)
B' (8 ,18)
B' (9 ,4)
When A(3, 6) is under a dilation of 2 what are the coordinates of A'?
(3, 6)
(1.5, 3)
(6, 12)
(12, 6)
A dilation produces a congruent figure
True
False
State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.
G' (5,3)
G' (20,12)
G' (-20,-12)
G' (-5,-3)
Does the rule (x, y) --> (4x, 2y) produce a similar, congruent, or neither image
Similar shape with a SF of 4
Similar shape with a SF of 2
Congruent shape
Neither
Does the rule (x, y) --> (5x, 5y) produce a similar, congruent, or neither image
Similar with a SF of 5
Congruent
Neither
Type the rule for a scale factor of 3. Include ( ) and no spaces.
(a)
The rule (x, y) --> (1/2x, 1/2y) will produce what type of image?
Similar figure that is an enlargement
Similar figure that is a reduction
Congruent figure
None
Dilate the figure by a scale factor of 3. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A'(9,9) B'(18,18) C'(27,9)
A'(6,6) B'(9,9) C'(12,6)
A'(0,0) B'(3,3) C'(6,0)
A'(1,1) B'(2,2) C'(3,1)
