8th Grade Mathematics Turkey Test (2017)
Directions: Read each item carefully and select the best answer. You may use scratch paper and a calculator.
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First Name:
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Your answer
Last Name:
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Your answer
NJSLS: 8.G.A.3
1. The figure shown below consists of a square pyramid on top of a cube. A vertical plane passes through point X and is perpendicular to the bases of both shapes, slicing the figure into equal halves.
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10 points
square
triangle
hexagon
pentagon
NJSLS: 8.F.B.4
2. Ms. Gibson made an initial deposit of $500 when opening a bank account. After the initial deposit, she deposited the same amount of money each month. The table below shows the total amount of money, "a," she deposited into the account after a certain number of months, "t,"since opening it.
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10 points
a = 250t
a = 500t
a = 250t + 500
a = 500t + 250
NJSLS: 8.G.A.2
3. Triangle F and triangle G are shown below.
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10 points
a 180° clockwise rotation about the origin
a 180° counterclockwise rotation about the origin
a reflection over the xaxis and then a reflection over the yaxis
a reflection over the yaxis and then a 90° clockwise rotation about the origin
NJSLS: 8.EE.C.8c
4. Two rectangles are shown below. Rectangle P has a perimeter of 20 inches. Rectangle Q has a perimeter of 30 inches.
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10 points
j=3 and h=3
j=10 and h=4
j=2 and h=4
j=9.5 and h=6.5
NJSLS: 8.G.A.4
5. The vertices of a triangle are located at F(4, 2), and H(0, 4). A sequence of transformations to triangle F'G'H', as shown below.
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10 points
a 90° clockwise rotation about the origin, then a dilation by a scale factor of 2 with a center of dilation at the origin
a 90° counterclockwise rotation about the origin, then a dilation by a scale factor of 2 with a center of dilation at the origin
a 90° counterclockwise rotation about the origin, then a dilation by a scale factor of 1/2 with a center of dilation at the origin
a 90° clockwise rotation about the origin, then a dilation by a scale factor of 1/2 with a center of dilation at the origin
NJSLS: 8.G.A.3
6. A parallelogram with vertices at (0,3), (2,0), (4,2), and (2,5) is reflected over the yaxis. Which vertex of the parallelogram will have the same xcoordinate before and after the reflection.
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10 points
(0,3)
(2,0)
(4,2)
(2,5)
NJSLS: 8.G.A.2
7. Squares PQRS AND TUVW are shown below.
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10 points
a translation 2 units up and 2 units to the right, then a reflection over the xaxis
a translation 2 units up and 2 units to the right, then a reflection over the yaxis
a translation 2 units down and 2 units to the left, then a reflection over the xaxis
a translation 2 units down and 2 units to the left, then a reflection over the yaxis
NJSLS: 8.G.A.1
8. Lily wants to define a transformation (or series of transformations) using only rotations, reflections, or translations that takes Figure A to Figure B.
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10 points
It can be defined with two reflections.
It can be defined with one rotation and one translation.
It cannot be defined because Figure A and Figure B are not congruent.
It cannot be defined because the longest side of Figure B is on the bottom.
NJSLS: 8.G.A.4
9. Acute ΔABC is rotated about a point and then dilated by a scale factor of 1/2 to produce ΔA'B'C'. Which statement correctly compares ΔA'B'C' to ΔABC?
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10 points
The angle measures and side lengths of ΔA'B'C' are half the size of those of ΔABC.
The angle measures of ΔA'B'C' are the same as those of ΔABC, but the side lengths of ΔA'B'C' are half the size of those of ΔABC.
The angle measures of ΔA'B'C' are the same as those of ΔABC, but the side lengths of ΔA'B'C' are twice the size of those of ΔABC.
The angle measures of ΔA'B'C' depend on the angle of rotation, but the side lengths of ΔA'B'C' are half the size of those of ΔABC.
NJSLS: 8.G.A.4
10. Two transformations are performed on a figure on a coordinate plane. The first transformation is a translation 8 units to the left. Which second transformation will result in an image that is similar to, but not congruent to, the original figure?
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10 points
a clockwise rotation of 90° about the center
a clockwise rotation of 180° about the center
a dilation by a scale factor of 1 with the origin as the center of dilation
a dilation by a scale factor of 1/2 with the origin as the center of dilation
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