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WorksheetsG-CHAPTER 7 TEST 2025-26
Total questions: 185
Worksheet time: 7hrs 38mins
The original point that is to be transformed is called the:
Pre-Image
Image
Post-Image
Transformation
Translate the blue shape to the pink shape...
5 Right
2 Down
5 Left
2 Up
3 Right
1 Down
3 Left
1 Up
Translate the pink shape to the blue shape...
5 Right
2 Down
5 Left
2 Up
3 Right
1 Down
3 Left
1 Up
Translate the blue shape to the green shape...
3 Left
3 Down
3 Right
3 Up
2 Right
3 Up
2 Left
3 Down
After a translation, figures are no longer congruent.
True
False
Describe the translation that maps point Q to Q'.
7 units up, 2 units right
3 units left, 8 units right
7 units right, 2 units up
3 units right, 8 units left
After a translation, figures face the same direction but have a different size and shape.
True
False
Describe the translation that maps point C to C'
8 units right and 4 units up
9 units right and 4 units up
4 units right and 8 units up
4 units right and 9 units up
What is a translation?
Changing quadrants in the coordinate plane
Transformation that changes the size of a figure
Transformation that changes the color of a figure
Transformation that changes the position of a figure
After a translation, figures face the same direction but have a different size and shape.
True
False
Describe the translation that maps point Q to Q'.
7 units up, 2 units right
3 units left, 8 units right
7 units right, 2 units up
3 units right, 8 units left
After a translation, figures are no longer congruent.
True
False
Describe the translation that maps point C to C'
8 units right and 4 units up
9 units right and 4 units up
4 units right and 8 units up
4 units right and 9 units up
Tell me the coordinates for point R' after a translations 5 units right and 3 units up.
(3,0)
(0,3)
(1,2)
(2,1)
Describe the translation that maps triangle IRT to triangle I'R'T'.
4 units up, 6 units left
6 units right, 4 units down
6 units up 4, units left
4 units right, 6 units down
Joe translates a triangle 4 units right and 3 units up. Check all things that will change about the triangle.
Size
Color
Orientation
Location
Congruence
Select the picture showing a translation of:
2 squares right and 1 square up
Select the picture showing a translation of:
1 square right and 2 squares up
Select the picture showing a translation of:
3 squares right and 2 squares up
Select the picture which shows a translation:
4 squares right and 5 squares down
Select the picture which shows a translation:
2 squares right and 4 squares down
Select the picture which shows a translation:
4 squares right and 2 squares down
Level 2: Where would point J' be if you translated point J 5 units to the left and 2 units up?
(5, 3)
(3, -5)
(-5, 3)
(-3, 5)
Level 2: What is true about the image and pre-image in a translation?
The image is larger than the pre-image
The image is smaller than the pre-image
The image and pre-image are congruent (or the same size)
Point A located at (8 , 5) is translated -7 units in the x-direction and -5 in the y-direction. What are the new coordinates?
(1 , 1)
(1 , 0)
(2 , 0)
(3 , -2)
Point W located at (-5 , -5) is translated -5 in the x-direction and +5 in the y-direction. What are the new coordinates?
(0 , -10)
(0 , 0)
(-10 , -10)
(-10 , 0)
Triangle XYZ has vertices at (5, -3) (3, 2) and (-3, -8).
List the vertices after a translation 5 units left.
(-3, 0) (2, -2) (-8, -8)
(0, -3) (-8, 1) (-8, -2)
(5, -8) (3, -3) (-3, -13)
(0, -3) (-2, 2) (-8, -8)
Tell the coordinates for point C after a translation of 5 units right and 5 units down.
(3, 3)
(7, -2)
(3, -3)
(7, -2)
Translate the blue shape to the pink shape...
5 Right
2 Down
5 Left
2 Up
3 Right
1 Down
3 Left
1 Up
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
When translating up or down on a coordinate plane, what coordinate is affected?
x-coordinate
y-coordinate
(x, y) -----> (x, y +4)
Determine how to translate triangle ABC to triangle A'B'C' ?
(x + 2, y - 5)
(x + 2, y - 9)
(x - 2, y - 9)
(x - 2, y + 9)
What is the algebraic representation of a figure is Translated 9 units right and 3 units down?
(x, y) -->
(x - 9, y + 3)
(x, y) -->
(x + 9, y - 3)
(x, y) -->
(x + 3, y - 9)
(x, y) -->
(9x, 3y)
(x, y) ----> (x - 1, y)
What are the coordinates of M'?
What does the word translation mean in math?
To change an object by flipping it
To change an object by turning it
To change an objects by sliding it
Select the picture showing a translation of:
4 squares right and 1 square up
Select the picture which shows a translation:
4 squares right and 5 squares down
What color is the pre-image?
blue
purple
What color is the image?
red
blue
(x, y) ----> (x + 2, y - 3)
A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?
(x, y) → (x + 3, y – 4)
(x, y) → (x + 3, y + 4)
(x, y) → (x + 4, y – 3)
(x, y) → (x + 4, y + 3)
Move 2 right and 1 down
(x, y) -----> (x, y +4)
If the Rule states (x + 1, y+2) then how would I move?
1 unit to the right and 2 up
1 unit to the left and 2 up
1 unit to the right and 2 down
1 unit to the left and 2 down
If the rule states (x-2, y+5) how would I move?
2 units to the left and 5 units up
2 units to the right and 5 units up
2 units to the left and 5 units down
2 units to the right and 5 units down
In the equatino (x+3, y-4) the x value tells me what kind of movement?
3 to the right
3 to the left
3 Up
3 Down
If the rule states (x+5, y-6) how would I move?
5 to the right and 6 down
5 to the left and 6 down
5 to the left and 6 up
5 to the right and 6 up
If the rule states (x + 0, y+4) how would you move?
4 to the right
4 to the left
4 up
4 down
If the rule states (x - 4, y-2) how would I move?
4 to the right and 2 down
4 to the left and 2 down
4 up and 2 to the left
4 to the left and 4 up
The point (a, b) is reflected over the x-axis, then the y-axis, then the y-axis again, and then the x-axis again. What are the coordinates of the new point?
(−a, b)
(−a, −b)
(a, −b)
(a, b)
Reflect over the line y = x
Flipping a figure is a ...
Rotation
Reflection
Dilation
Translation
Reflect the point (3,4) over the y-axis
(a)
Reflect the point (4,5) over the x-axis
(a)
Reflect the point (-1,7) over the x-axis
(a)
Reflect the point (-2,-9) over the y-axis
(a)
Reflect the point (8,-6) over the y-axis
(a)
Describe the transformation in the image
Translation
Reflection
Rotation
The point (2,-2) is reflected to it's image, which is at (2,2). What axis did it reflect across?
x-axis
y-axis
The point (-4,1) is reflected to it's image, which is at (4,1). What axis did it reflect across?
x-axis
y-axis
Reflect Point C over the line x = 1
(-1, 2)
(3, 0)
(0, 2)
(3, -1)
Reflect the shape over the line y = x. Where is A'?
(7, 2)
(-2, 7)
(2, -7)
(-7, -2)
Flipping a figure is a ...
Rotation
Reflection
Dilation
Translation
Which graph shows the pre-image reflected over y-axis?
Which graph shows the pre-image reflected over x-axis?
Which graph is showing the pre-image reflected over the y-axis?
Look at the graph. Which shape is the pre-image?
triangle GIH
triangle G'I'H'
Look at the graph. Choose the correct statement.
Δ CDE and Δ C'D'E' are similar
Δ CDE and Δ C'D'E' are congruent
Δ CDE and Δ C'D'E' are not related
What would be the coordinates of point K if it was reflected over the x-axis?
(-5, -2)
(-5, 2)
(5, -2)
A(3,3) B(6,6) C(9,3)
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
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 counterclockwise rotation of 90° is equivalent to how many degrees of rotation clockwise?
90°
180°
270°
360°
A rotation counterclockwise of 120° is equivalent to a clockwise rotation of how many degrees?
60°
120°
180°
240°
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)
Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
R (1, 1)S (3, 1)T (1, 6) R' (–1, –1)S' (–3, –1)T' (–1, –6)
Which best describes the transformation?
The transformation was a 90° rotation about the origin.
The transformation was a 180° rotation about the origin.
The transformation was a 270° rotation about the origin.
The transformation was a 360° rotation about the origin.
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point.
(2,5)
(2,-5)
(-2,5)
(-5,-2)
If I rotate a picture by a full circle, how far has it gone?
90°
180°
270°
360°
How many degrees has this shape been rotated
90°
180°
270°
360°
Which word can be used to describe a rotation?
Flip
Turn
Slide
Stretch
What type of rotation does this represent (from red to blue)?
270⁰ clockwise
180⁰
90⁰ clockwise
How many quadrants are there on a coordinate plane?
1
2
3
4
How many degrees is a quadrant worth?
90 degrees
180 degrees
270 degrees
360 degrees
Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.
Rule: (x, y) ---- ( -x, -y)
(5,-5)
(5,5)
(-5,5)
(-5,-5)
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
Rule: (x, y) ---- ( -x, -y)
(-4, -3)
(-4, 3)
(4, -3)
(3, 4)
Rotate the point (-5,8) around the origin 90 degrees clockwise. State the image of the point.
Rule: (x, y) ----- (y, -x)
(-8,5)
(8,-5)
(8,5)
(5,-8)
Rotate the point (7,8) around the origin 90 degrees counter clockwise. State the image of the point.
Rule: (x, y) ---- ( -y, x)
(-7,-8)
(8,-7)
(-8,7)
(8,7)
What is the rule for reflecting a point over the x-axis?
Change the sign of both x and y coordinates
Change the sign of the x-coordinate
Change the sign of the y-coordinate
Add the y-coordinate to the x-coordinate
What is the rule for reflecting a point over the y-axis?
Add the x-coordinate to the y-coordinate
Multiply the x-coordinate by 2
Change the sign of the y-coordinate
Change the sign of the x-coordinate
What is the rule for reflecting a point over the line y=x?
Swap the x and y coordinates of the point
Add the x and y coordinates of the point
Multiply the x and y coordinates of the point
Divide the x and y coordinates of the point
What is the rule for rotating a point 90 degrees counterclockwise?
Switch the x and y coordinates and then negate the new x-coordinate.
Subtract the x and y coordinates and then negate the new x-coordinate.
Add the x and y coordinates and then negate the new x-coordinate.
Multiply the x and y coordinates and then negate the new x-coordinate.
What is the rule for rotating a point 90 degrees clockwise?
Multiply the x and y coordinates and then negate the new x-coordinate.
Add the x and y coordinates and then negate the new x-coordinate.
Switch the x and y coordinates and then negate the new x-coordinate.
Divide the x and y coordinates and then negate the new x-coordinate.
If a point is reflected over the x-axis, what happens to its y-coordinate?
It becomes its reciprocal
It becomes its opposite (negation)
It becomes its absolute value
It becomes zero
If a point is reflected over the y-axis, what happens to its x-coordinate?
It becomes zero
It becomes squared
It becomes positive
It becomes negated or multiplied by -1.
If a point is reflected over the line y=x, what happens to its x and y coordinates?
Both increase
Swapped
Remain the same
Both decrease
What is the result of rotating a point 180 degrees?
90 degrees
45 degrees
180 degrees
360 degrees
What is the result of rotating a point 270 degrees?
The result of rotating a point 270 degrees is equivalent to rotating it 180 degrees in the clockwise direction.
The result of rotating a point 270 degrees is equivalent to rotating it 360 degrees in the clockwise direction.
The result of rotating a point 270 degrees is equivalent to rotating it 90 degrees in the clockwise direction.
The result of rotating a point 270 degrees is equivalent to rotating it 270 degrees in the clockwise direction.
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