Hello Students! Below you will see some helpful videos to guide you through your Unit 1 EOC Review. These videos are optional, but should help you if you are stuck on a problem. Please use these videos as well as your notes and other resources to review topics from Unit 1: Transformations in the Coordinate Plane.
Question 1
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Question 2
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Question 3
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Describe a transformation that will map ABCD onto EFGH.
Question 4
4.
Determine K' using the translation (x, y) → (x – 3, y + 1) .
Question 5
5.
Question 6
6.
Question 7
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Identify S' after a reflection over the x-axis.
Question 8
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Question 9
9.
A translation maps A(-3, 2) to A'(0, 0). Find B', the image of B(5, 4) under the same translation.
Question 10
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Describe a transformation that maps the given figure onto itself.
Question 11
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Graph the image after a reflection over the y-axis.
Question 12
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Question 13
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Question 14
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Graph the image using the following translation: (x, y) --> (x-4, y-6)
Question 15
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Question 16
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Question 17
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Question 18
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The point (-2, 1) is rotated 180 degrees. What are the coordinates of its image?
Question 19
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Question 20
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Question 21
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Question 22
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Question 23
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Question 24
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If a dilation maps (3, -2) to (x, -8), what is the value of x?
Question 25
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Question 26
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A triangle has side lengths of 12, 14, and 18. Find the perimeter of a similar triangle after a dilation of 1/2.
Question 27
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Question 28
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Question 29
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Question 30
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Question 31
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Question 32
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Question 33
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Question 34
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Question 35
35.
After a dilation with respect to the origin, the image of point A(12, 16) is A'(3, 4). What are the coordinates of the image of point B(8, 4) after the same dilation?
Question 36
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Question 37
37.
What are the coordinates of K(4, 5) after a reflection over the line y=2?
Question 38
38.
Mark the diagram with congruency marks to show an example of vertical angles.
Question 39
39.
Mark the diagram to show an example of a linear pair.
Question 40
40.
Mark the diagram to show an example of non-adjacent supplementary angles.
Question 41
41.
Mark the diagram to show an example of corresponding angles.
Question 42
42.
Mark the diagram to show an example of alternate interior angles.
Question 43
43.
Mark the diagram to show an example of alternate exterior angles.
Question 44
44.
Mark the diagram to show an example of same side interior angles.
Question 45
45.
Mark the diagram to show an example of same side exterior angles.
The smaller triangle is transformed to create the larger triangle . Which of these is the scale factor of the dilation centered at the point (0, 0)?
4
2
1/2
1
Select all the degrees of rotation that will carry an equilateral triangle onto itself.
30
90
120
180
240
270
360
A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?
a reflection across line m
a reflection across the x-axis
a clockwise rotation of 100° about the origin
a clockwise rotation of 144° about the origin
Which transformation is represented below?
Rotation
Reflection
Translation
Dilation
Triangle A'B'C' is the image of triangle ABC under the dilation (x, y) --> (2x, 2y). What must be true about these two triangles?
The triangles are congruent but not similar.
The triangles are similar but not congruent
The triangles are both congruent and similar
The triangles are neither congruent nor similar
Select all transformations that will map the given figure onto itself.
Reflection over x-axis
Reflection over y = 1
Reflection over x = 1
Reflection over y = -2
Reflection over x = -2
Rotation 90 degrees about the point (-2, 1)
Rotation 180 degrees about the point (-2, 1)
Which rule describes the transformation shown below?
(x, y) --> (x - 5, y + 2)
(x, y) --> (x + 5, y - 2)
(x, y) --> (-x, y)
(x, y) --> (x + 5, y + 2)
What degree of rotation will carry a regular octagon onto itself?
180
120
80
60
Which transformation does NOT preserve distance?
(x, y) --> (y, x)
(x, y) --> (-x, -y)
(x, y) --> (3x, 3y)
(x, y) --> (x, -y)
Point A(3, -1) is reflected over the x-axis and then translated right 2 and up five. What are the coordinates of A'?
(-1, 4)
(5, 6)
(5, 4)
(-5, -4)
A parallelogram has vertices at (0, 0), (0, 6), (4, 4), and (4, –2). Which transformation maps the parallelogram to itself?
a reflection across the line x = 2
a reflection across the line y = 2
a rotation of 180° about the point (2, 2)
a rotation of 180° about the point (0, 0)
Which sequence of transformations maps △ABC to △RST?
Reflect △ABC across the line x = –1 . Then translate the result 1 unit down.
Reflect △ABC across the line x = –1 . Then translate the result 5 units down.
Translate △ABC 6 units to the right . Then rotate the result 90° clockwise about the point (1, 1).
Translate △ABC 6 units to the right . Then rotate the result 90° counterclockwise about the point (1, 1).
What are the coordinates of the image P(-2, 5) after a clockwise rotation of 90 degrees about the origin?
(-5, -2)
(-2, -5)
(2, 5)
(5, 2)
Identify the coordinates of E' after a dilation by a scale factor of 2.
(-3, 4)
(2, 4)
(-2, 4)
(1, 2)
Identify the scale factor of the given dilation.
1/2
2
1/3
3
The transformation from ABC to A'B'C' is shown below. This transformation is an example of a
Reflection over line l
Rotation about point A
Dilation
Translation
The image of P(6, -9) after a dilation is P'(4, -6). What is the scale factor?
1/3
2/3
3/2
-2
Which rule describes the transformation shown below?
(x, y) --> (x, -y)
(x, y) --> (-x, y)
(x, y) --> (y, -x)
(x, y) --> (-x, -y)
Which transformation does NOT preserve congruency?
Dilation
Rotation
Reflection
Translation
Which transformation is shown below?
Translation left 2
Reflection over y = 1
Reflection over x = 1
Translation right 6
What shape does NOT have rotational symmetry?
Regular pentagon
Trapezoid
Circle
Square
If point R'(6, 3) is the image of point R'(2, 1) under a dilation with respect to the origin, what is the constant of the dilation?
1
2
3
1/3
Point P(3, -2) is transformed according to the rule (x, y) --> (-y, x). What are the coordinates of P'?
(-2, 3)
(3, 2)
(2, 3)
(-2, -3)
Which type of transformation is (x, y) --> (x-2, y+2)?
Dilation
Reflection
Rotation
Translation
Which sequence of transformations is shown below?
Dilation by a scale factor of 2 followed by a 180 degree rotation
Dilation by a scale factor of 2 followed by a 90 degree rotation
Rotation 180 degrees followed by a dilation by a scale factor of 1/2
Rotation 90 degrees followed by a dilation by a scale factor of 1/2