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WorksheetsOL Unit 7 Test Review Practice
Total questions: 89
Worksheet time: 4hrs 27mins
Which transformation moves a geometric pre-image right, left, up or down?
Translation
Rotation
Reflection
Dilation
Which transformation enlarges or reduces a pre-image?
Translation
Rotation
Reflection
Dilation
Which transformation flips an image across either the x or y axis?
Translation
Rotation
Reflection
Dilation
Which transformation pivots a pre-image around the origin either clockwise or counter clockwise?
Translation
Rotation
Reflection
Dilation
Which transformation preserves the size of a pre-image? (Chose the best answer)
Rotation
Translation
Reflection and dilation
Reflection, rotation, and translation
Which transformation preserves the orientation of a pre-image? (Chose the best answer)
Translation and dilation
Translation only
Dilation only
Rotation and reflection
If the blue is the pre-image and the red is the image, is this an enlargement or a reduction?
enlargement
reduction
What is the scale factor of the dilation shown?
1/3
1/2
3
2
Describe the rotation shown.
Rotation 180o
Rotation 90o clockwise
Rotation 90o counter clockwise
Rotation 270o clockwise
If blue is the pre-image, describe the transformation
Rotation 180o
Dilation by a factor of 1/2
Translation 6 right and 6 down
Translation six left and six up
Describe the transformation shown.
Rotation 90o clockwise
Dilation by a factor of 3
Translation 2 units down
Reflection across the x axis.
Describe the transformation shown if the image on the left is the pre-image.
Reflection across the y axis
Translation 4 units right
Rotation 90o clockwise
Dilation by a factor of 2
Describe the transformation shown
Reflection across the x axis.
Translation down 6 and left 1
Dilation by a factor of 2/3
Rotation of 180o
If blue is the pre-image and green is the image, the scale of reduction is?
1/2
1/3
3
2
Describe the transformation shown
Rotation of 270o counter clockwise
Translation right one unit and up one unit
Dilation by a scale of 2
Dilation by a scale of 1/2
What type of transformation is this?
reflection
translation
rotation
dilation
What type of transformation is this?
reflection
translation
rotation
dilation
What type of transformation is this?
reflection
translation
rotation
dilation
A person talking on a phone moves the phone to her other ear. What transformation best describes how the phone moved?
A translation, because the phone moved from one side to the other and is facing in the same direction.
A reflection, because the phone moved an equal distance across the person’s head and is facing the other direction
A rotation, because the phone was facing a different direction and is now facing the opposite direction.
A reflection, because the phone moved the same distance across the person’s head and is facing the same direction.
One transformation was performed on the object show. Which transformation was performed?
rotation
reflection
translation
When line AB with endpoints at coordinates A(-5,-4) and B(-3,3) is reflected across the y-axis, A’ will be located at ___________________________
(5,-4)
(3,3)
(-5,4)
(3,-3)
When line AB with endpoints at coordinates A(-5,-4) and B(-3,3) is reflected across the y-axis, B’ will be located at ___________________________
(5,-4)
(3,3)
(-5,4)
(3,-3)
Which of the following figures shows triangle RST translated 9 units down?
Which of the following figures shows triangle RST translated 9 units left?
Which of the following figures shows triangle RST reflected over the x axis?
Triangle DOG has vertices at D(-7,5), O(-4,2) and G(-4,8). The triangle is translated 2 units down and 2 units to the right. What are the coordinates of O’?
(-4,2)
(-4,0)
(-2,2)
(-2,0)
Harper completed a transformation of pre-image ABCD that results in the image A’B’C’D’ as shown. Which statements about the relationship between the pre-image and the image can Josh concluded are true?
The image is both congruent and similar to the preimage because all congruent figures are also similar figures.
The image is NOT congruent to the preimage because rotations change the length of the line segments and angle measures.
The image is similar to the preimage because the corresponding sides have a ratio of 1:1.
The image is NOT similar to the preimage because the areas of the figures are equal.
The image is congruent to the preimage because the image is the result of a rotation.
If P is translated such that P(-3, 4) → P’(4, 0), what is the coordinate notation for the translation?
(x, y) → (x + 7, y – 4)
(x, y) →(x – 7, y + 4)
(x, y) →(x – 4, y + 7)
(x, y) →(x + 4, y + 7)
If quadrilateral TUVW is reflected across the line y=x to become quadrilateral T’U’V’W’, what will be the coordinates of U’?
U (3, 4) →U’(3, -4)
U (3, 4) →U’(-3, 4)
U (3, 4) →U’(4, 3)
U (3, 4) →U’(-4, -3)
If V (-3, 7) is rotated 270°, what are the coordinates of B’?
V’(-7, 3)
V’(7, -3)
V’(3, -7)
V’(7, 3)
Which of the following sets of points would be three of the vertices of the pentagon below reflected across the y-axis?
(5, -6), (4, -1), (3, -5)
(-5, 6), (-4, 1), (-3, 5)
(6,5), (1, 4), (5, 3)
(-5, -6), (-4, -1), (-3, -5)
If figure WXYZ is rotated 270°counterclockwise around the origin, which figure would it produce?
ABCD
EFGH
JKLM
WXYZ
ΔMHS has coordinates, M(-1, 6), H(-4, 4), and S(1, 3). The triangle is translated (x,y)→(x + 6, y – 1) and then reflected about the y-axis. What are the coordinates of M’?
M'(5, 5)
M'(-5, -5)
M'(-5, 5)
M'(5, -5)
Determine the image of Polygon ABCD after a dilation of ½ with center at (0, 0), then reflect across the x-axis
A"(2.5, 1) B"(3.5, -0.5) C"(1.5, -2) D"(-1, -1.5)
A"(2.5, -1) B"(3.5, 0.5) C"(1.5, 2) D"(-1, 1.5)
A"(1, 2.5) B"(-0.5, 3.5) C"(-2, 1.5) D"(-1.5, -1)
A"(5, 2) B"(7, -1) C"(3, -4) D"(-2, -3)
A(3,3) B(6,6) C(9,3)
Choose the correct scale factor:
2
3
1/3
1/2
Which of the following images shows a rotation of 180o?
What type of transformation is this?
Rotation
Reflection
Translation
Enlargement
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)
Pentagor VWXYZ is shown on a coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?
(x,y) → (x, -y)
(x,y) → (x, y+8)
(x, y) → (-y, x)
(x,y) → (-x, y)
Translations, reflections, rotations and dilations are all known as ________________________.
Geometry
Transformations
Congruent
Equations
(2,-6) Translate 7 units down and 4 units right
(-5, -2)
(-2, -13)
(6, -13)
(6, 1)
(0,9) Translate 3 units left and 2 units down
(-3, 7)
(3, 11)
(-2, 6)
(-3, 11)
What is the original figure before a transformation called?
Trapezoid PQRS is rotated 180° about the origin to form trapezoid P'Q'R'S'. Which statement is true?
The sum of the angle measures of trapezoid PQRS is 180° less than the sum of the angle measures of trapezoid P'Q'R'S'.
Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.
The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.
The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.
Triangle JKL is dilated with the orgin as the center of dilation to create triangle J'K'L'. Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'?
(x,y) → (x+6, y-3)
(x,y) → (x+4.5, y+3)
(x,y) → (1/2x, 1/2y)
(x,y) → (7/4x, 7/4y)
Pentagor VWXYZ is shown on a coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?
(x,y) → (x, -y)
(x,y) → (x, y+8)
(x, y) → (-y, x)
(x,y) → (-x, y)
A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?
(20x, 20y)
(0.4x, 0.4y)
(x+20, y+20)
(x+0.4, y+0.4)
Triangle RST is translated 6 unit to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation?
(x, y) → (6x, -4y)
(x, y) → (-6x, 4y)
(x, y) → (x+6, y-4)
(x, y) → (x-6, y+4)
The coordinate grid shows a pentagon. The pentagon is translated 1 unit to the left and 10 units down to create a new pentagon. Which rule describes this transformation?
(x, y) → (x-1, y-10)
(x, y) → (x+1, y-10)
(x, y) → (x-1, y+10)
(x, y) → (x+1, y+10)
Triangle MNP is graphed on a coordinate grid with vertices at M ( -3, -6), N (0, 3) and P (6, −3). Triangle MNP is dilated by a scale factor of u with the origin as the center of dilation to create triangle M'N'P'. Which ordered pair represents the coordinates of the vertex P′?
(6+u, -3+u)
(6/u , -3/u)
(6+1/u, -3+1/u)
(6u, -3u)
Figure ABCDE is similar to figure VWXYZ. Which proportion must be true?
AE/XY = CD/VZ
AB/VW = YZ/DE
BC/XY = DE/YZ
AB/VW = CD/XY
Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y) → (1/4x, 1/4y) to create pentagon M'N'P'Q'R'. Which statement is true?
Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.
Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.
Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.
Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.
A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x, y), which ordered pair represents the center of the new circle after the transformation?
(x, y)
(x, -y)
(-x, y)
(-x, -y)
A ???????? is a rigid motion transformation that is also known as a slide.
Dilation
Reflection
Rotation
Translation
A ???????? is a rigid motion transformation that is also known as a turn.
Dilation
Reflection
Rotation
Translation
A ???????? is a rigid motion transformation that is also known as a flip.
Dilation
Reflection
Rotation
Translation
Which of the following is not a rigid motion transformation? You may choose as many as needed :)
Reduction
Reflection
Rotation
Translation
Enlargement
When a figure is dilated, its image is ?????.
Congruent
Similar
Not Here
What type of transformation is this?
Rotation
Reflection
Translation
Enlargement
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)
Determine the degrees of rotation from each petal.
20°
72°
45°
60°
