

Q3 Math 8 Benchmark Review "The Covid Edition"
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
+4
Standards-aligned
Dinah Barling
Used 48+ times
FREE Resource
5 Slides • 17 Questions
1
Q3 Math 8 Benchmark Review "The Covid Edition"

2
Translation
A transformation that SLIDES a figure along a straight line.
Produces an image that is CONGRUENT to the original image with the SAME ORIENTATION
Translate RIGHT: (x, y) → (x + a, y)
Translate LEFT: (x, y) → (x - a, y)
Translate UP: (x, y) → (x, y + b)
Translate DOWN: (x, y) → (x, y - b)
3
Fill in the Blanks
Type answer...
4
Reflection
A transformation that FLIPS a figure across a line called the LINE OF REFLECTION.
Produces a MIRROR image that is CONGRUENT to the original image
Reflect across the x-axis: (x, y) → (x, -y)
Reflect across y-axis: (x, y) → (-x, y)
5
Multiple Choice
Which of the statements is TRUE about ΔU′V′W′ ?
ΔU′V′W′ is a translation of ΔUVW
ΔU′V′W′ is a reflection of ΔUVW over the x-axis
ΔU′V′W′ is a 90° counterclockwise rotation of ΔUVW
ΔU′V′W′ is a reflection of ΔUVW over the y-axis
6
Rotation
A transformation that TURNS a figure around a given point called the center of rotation.
Produces an image that is CONGRUENT to the original image, but with a DIFFERENT ORIENTATION
Clockwise rotates to the RIGHT
Counterclockwise rotates to the LEFT
90° clockwise: (x, y) → (y, -x)
90° counterclockwise: (x, y) → (-y, x)
180°: (x, y) → (-x, -y)
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Multiple Choice
Figure S′T′U′V′W′ is a 180° rotation of STUVW
TRUE
FALSE
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Multiple Choice
Which of the following describes the transformation shown?
90° clockwise rotation
90° counterclockwise rotation
180° rotation
Reflection across the x-axis
Reflection across the y-axis
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Dilation
A transformation that results in a CHANGE in SIZE of a figure
Produces a figure that is SIMILAR, but NOT CONGRUENT to the original image
SCALE FACTOR (k) multiplies the figure
k>1 results in an ENLARGEMENT
k<1 results in a REDUCTION
(x,y)→(kx,ky)
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Multiple Choice
Figure B is the dilated image of Figure A. What scale factor was used to produce Figure B?
k=2
k=21
k=5
k=51
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Multiple Choice
Which of the following statements shows that figure A and figure B are similar?
A translation of figure A 3 units left and 6 units down
A reflection of figure A over the y-axis, then a translation down 6 units.
A dilation of figure A with a scale factor of 2.
A dilation of figure A with a scale factor of 21 .
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Multiple Select
Which of the following transformations will result in an image that is CONGRUENT to the original pre-image? Choose ALL that apply.
dilation
reflection
rotation
translation
13
Multiple Choice
Line segment CD was reflected over the x-axis to create line segment EF. Line segment EF was translated 5 units down to create line segment GH. Which of the following statements is TRUE.
Line segment GH is shorter that line segment EF
Line segment CD is longer that line segment EF
Line segment GH is the same length as line segment AB
Not enough information is provided
14
Multiple Select
ΔABC is a right triangle. Which of the following are true about the 90° angle? Choose ALL that apply.
If it is rotated 90° clockwise it will no longer measure 90°
If it is reflected over y=x it will still measure 90°
If it is translated 5 units up it will no longer measure 90°
If it is translated 2 units right, it will still measure 90°
If it is reflected over the y-axis it will still measure 90°
15
Multiple Choice
ΔSTU is translated 5 units left, then reflected over the x-axis resulting in ΔS′T′U′ . What is the location of vertex S′?
(4,−5)
(−5,4)
(−4,5)
(5,−4)
16
Multiple Choice
The figures shown are congruent. Which sequence of transformations can be used to prove they are congruent?
A translation 5 units right, then 3 units down.
A reflection over the x-axis, followed by a 90° clockwise rotation.
A 360° rotation, followed by a reflection over the y-axis.
A reflection over the y-axis, followed by a translation 1 unit right and 3 units down.
17
Multiple Select
Square ABCD was drawn on the coordinate plane. It was reflected over the x-axis, dilated by a scale factor of 31 , and finally rotated clockwise to create square A'B'C'D'. Which of the following statements are TRUE about the two squares.
They are congruent.
They are not congruent.
They are similar.
They are not similar.
Cannot be determined since no coordinates are given.
18
Multiple Select
Which of the following sequences of transformations will produce an image that is SIMILAR, but has a LARGER area than the original image, shown. Choose ALL that apply.
A reflection over the x-axis and a rotation of 90° clockwise
A translation 2 units left and a dilation about the origin with a scale factor of 65
A dilation about the origin with a scale factor of 58 followed by a reflection over y=x
A rotation of 180° followed by a dilation about the origin with a scale factor of 1
A reflection over the y=axis followed by a dilation about the origin with a scale factor of 3
19
Multiple Select
A sequence of transformations is performed on ΔABC . Which of the following will result in a triangle that is SMALLER in area, but SIMILAR to the original image? Choose ALL that apply.
A 90° clockwise rotation followed by a dilation with a scale factor of 45
A dilation with a scale factor of 32 followed by a translation 2 units left, and finally a dilation with a scale factor of 21
A reflection over the x-axis, followed by a rotation of 360°
A reflection over the y-axis, then a dilation with a scale factor of 87
20
Fill in the Blanks
Type answer...
21
Multiple Choice
Which of the sequences below can be used to describe the transformation of A to A′ to A′′?
A 90° clockwise rotation, followed by a reflection over the x-axis.
A translation up, followed by a 90° counterclockwise rotation.
A reflection over the x-axis, followed by a reflection over the y-axis.
A 90° counterclockwise rotation, followed by a reflection over the y-axis.
22
Multiple Choice
A rectangle is drawn on the coordinate plane. It is rotated 180°,
translated 5 units up, and finally reflected over the y-axis. Which of the following statements is TRUE about the resulting figure?
It is larger than the original
It is congruent to the original
It has a different shape than the original
It is smaller than the original
Q3 Math 8 Benchmark Review "The Covid Edition"

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