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7 th Grade Third Quarter Review: Standards: 7.2, 7.5, 7.6, 7.7, and 7.8
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7.8 Identify the coordinates of B’ when triangle ABC is rotated 180 degrees counterclockwise about the origin. 2 A (-7,3) B (-7,-2) C (-1,-2) A C B
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What effect does doubling the width, length, OR height of a prism have on its volume? 7.5C 4
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The volume of the new prism is double the volume of the original prism.
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7.7 Identify the classifications to which this figure belongs. Parallelogram Trapezoid Quadrilateral Rhombus Rectangle 6
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7.8 Identify the coordinates of the image of triangle ABC after a dilation about the origin by a factor of 2. 8 A (-2,4) B (-2,-3) C (-4,-3) y x A B C
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The rectangular prism shown has a surface area of. If the height of the prism is increased to 15 cm and the other dimensions remain the same, the surface area – a)Triples b)Increases by c)Increases by d)Increases by 7.5C Length = 4 cm Width = 3 cm Height = 5 cm
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d) Increases by
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7.8 Identify the coordinates of the image of triangle ABC after a reflection over the y -axis. 12 A (-2,4) B (-2,-3) C (-4,-3) y x A B C
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7.7 Select each figure that appears to be a rectangle. All angles in this figure are 90 degrees. All angles in this figure are 90 degrees. 14
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All angles in this figure are 90 degrees. All angles in this figure are 90 degrees. 15
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Triangle JKL is similar to triangle PQR. Which three proportions can be used to find the value of x ? 7.6 16 J K L P Q R 8 10 6 5 x 3
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7.7
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7.8 Identify the coordinates of the image of triangle ABC after a dilation about the origin by a factor of 2. 20 A (-7,3) B (-7,-2) C (-1,-2) A C B
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7.6
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7.2
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7.8 Identify the coordinates of C’ after the image of triangle ABC is translated 5 units to the right. 26 A (-7,3) B (-7,-2) C (-1,-2) A C B
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A rectangular prism has a volume of. If the height of the prism is tripled and the other dimensions stay the same, what is the volume of the new prism? 7.5C 28
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7.7 Which classifications appear to describe both of these figures? Parallelogram Trapezoid Quadrilateral Square Rhombus Rectangle 30
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Parallelogram Trapezoid Quadrilateral Square Rhombus Rectangle 31
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7.6
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Which method would result in tripling the volume of this rectangular prism? a)Add three to each dimension of the prism b)Add three to the height of the prism and keep the other dimensions the same c)Multiply each dimension of the prism by three d)Multiply the width of the prism by three and keep the other dimensions the same 7.5c 34 height=5 cm width=2 cm length=10 cm
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d) Multiply the width of the prism by three and keep the other dimensions the same 35
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7.7 Select each property that is true for any rhombus. There is exactly one pair of parallel sides. There are exactly two pairs of parallel sides. There are exactly four congruent sides. There are exactly four right angles. There are exactly two pairs of congruent opposite angles. There are exactly four congruent angles. 36
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There is exactly one pair of parallel sides. There are exactly two pairs of parallel sides. There are exactly four congruent sides. There are exactly four right angles. There are exactly two pairs of congruent opposite angles. There are exactly four congruent angles. 37
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7.2
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7.8 Identify the coordinates of the image of triangle ABC after a rotation of 180 degrees clockwise about the origin. 40 A (-2,4) B (-2,-3) C (-4,-3) y x A B C
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One way to determine the surface area of this cylinder is to – A add the areas of both bases to the rectangular area around the cylinder B add the areas of both bases C multiply the area of the base by the height D multiply the rectangular area around the cylinder by pi 42 7.5a
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A add the areas of both bases to the rectangular area around the cylinder 43
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A container in the shape of a cube will be completely filled with sand. The container has an edge length of 8 inches. What is the exact number of cubic inches of sand needed to completely fill the container? 44 7.5b cubic inches
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7.6
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Rectangular Prism A is shown. Rectangular Prism B has the same height and width as rectangular Prism A but its length is 8 inches. The volume of Prism B is – A twice the volume of Prism A B one-half the volume of Prism A C one-fourth the volume of Prism A D four times the volume of Prism A 48 7.5c h = 5 cm w = 3 cm l = 4 cm
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A twice the volume of Prism A
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Which classifications must describe the figure shown? A square and parallelogram B trapezoid and parallelogram C square and quadrilateral D trapezoid and quadrilateral 50 7.7
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D trapezoid and quadrilateral
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Select each classification that does NOT describe this figure. Parallelogram Rhombus Rectangle Trapezoid Square Quadrilateral 52 7.7
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Rectangle Trapezoid Square 53
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7.5c
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7.2
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7.5a
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7.5c
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7.2
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7.6
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7.7 Which classifications describe this figure? Parallelogram Trapezoid Quadrilateral Square Rhombus Rectangle 66
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Parallelogram Trapezoid Quadrilateral Square Rhombus Rectangle 67
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7.8 Identify the coordinates of A’ after the image of triangle ABC is reflected over the y-axis. 68 A (-7,3) B (-7,-2) C (-1,-2) A C B
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7.5b
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D 272 sq in.
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