Geometry7th Grade

2010

1. Which of these shapes can be created using two congruent isosceles triangles?

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1. rhombus

2. rectangle

3. trapezoid

4. parallelogram

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2. The drawing shows a compass and straightedge

construction of —

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1. a perpendicular to a given line from a point not on the line.

2. a perpendicular to a given line at a point on the line.

3. the bisector of a given angle.

4. an angle congruent to a given angle.

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3. To which point should a line segment from A be drawn so that the resulting figure is a rectangle?

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1. W

2. X

3. Y

4. Z

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4. A model of a house has been drawn on a coordinate grid. One corner of the house has been drawn at (1, 5). The drawing will be translated two units up and three units to the right. Where will the same corner of the house be after the translation?

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1. (-2, 3)

2. (-1, 2)

3. (3, 8)

4. (4, 7)

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5. A point was graphed at (-3, 3). The point was translated to (3, 3) and then translated to (3, -3)). Which translations occurred?

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1. two equal dilations

2. reflection over the x-axis, then a rotation

3. reflection over the y-axis, then a reflection over the x-axis

4. reflection over the x-axis, then a reflection over the y-axis

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6. The diagram below shows a geometric figure on a coordinate plane. Which of the diagrams below shows a rotation of this geometric figure?

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1..

2..

3..

4.. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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7. Susan has two boxes. Each box is 12 cm high, 12 cm long, and 12 cm wide. Which statement describes Susan's boxes?

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1. The boxes are congruent, but not similar.

2. The boxes are similar, but not congruent.

3. The boxes are similar and congruent.

4. The boxes are only similar.

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8. The triangles shown are congruent. Which of the following two sides MUST be proportional?

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1. CM and SV

2. CM and MT

3. CT and VU

4. CT and MT 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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9. In the diagram, ∆JKL ~ ∆MNO. Find scale factor (small

to large) of the two triangles.

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1. 2:5

2. 2:3

3. 3:2

4. 5:2

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10. Given: ∆ABC ~ ∆DEF. Which statement shown is a correct similarity statement?

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1. ∆BCA ~ ∆EDF

2. ∆BAC ~ ∆EDF

3. ∆CBA ~ ∆DFE

4. ∆CBA ~ ∆FDE

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11. Given: ∆ABC ~ ∆DEF. Side AB = 1.5 units. Side ED = 3.75 units. Side BC = 3 units. What is the length of side EF?

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1. 2.25 units

2. 2.5 units

3. 7.5 units

4. 11.25 units 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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12. What must the value of x be in order for the figures below to be similar?

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1. 16 cm

2. 14 cm

3. 12 cm

4. 10 cm

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13. Triangle JKL is located at J(1, 1), K(1, 5) and L(5, 5). Point K will be translated one unit up and 6 units to the right. What shape will triangle JK'L become?

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1. right triangle

2. acute triangle

3. obtuse triangle

4. equilateral triangle

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14. When standing upright, Gary knows his eyes are 6 feet above ground level. To determine the depth of a well, he stands in the position shown. Using the given measures, how deep is the well?

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1. 12 ft

2. 14 ft

3. 16 ft

4. 18 ft

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15. For the construction shown below, which of the following arcs must be drawn first?

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1. 1

2. 2

3. 3

4. 4

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16. Two rectangles, ABCD and WXYZ, are shown below. The measure of each side of WXYZ is 5 times the measure of each corresponding side of ABCD. Which statement is true of the areas of these two rectangles?

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1. The area of WXYZ is 5 times the area of ABCD.

2. The area of WXYZ is 10 times the area of ABCD.

3. The area of WXYZ is 20 times the area of ABCD.

4. The area of WXYZ is 25 times the area of ABCD.

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17. If ∆ABC is reflected across the x-axis, what are the resulting coordinates of point B?

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1. (3, 1)

2. (-3, 1)

3. (-3, -1)

4. (3, -1)1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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