1. Which equation represents the line that passes through the point () and is parallel to ?

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(2)

(3)

(4)

2. In the diagram below, is the image of after a reflection over the line followed by a dilation of scale factor centered at point .

Which statement must be true?

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(2)

(3)

(4)

3. Given , which statement is *not* always true?

(1)

(2)

(3) area of = area of

(4) perimeter of = perimeter of

4. In the diagram below, and are midsegments of .

The perimeter of quadrilateral is equivalent to

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5. In the diagram below, if and is drawn, then it could be proven that quadrilateral is a

(1) square

(2) rhombus

(3) rectangle

(4) parallelogram

6. Under which transformation would , the image of , *not* be congruent to ?

(1) reflection over the -axis

(2) rotation of clockwise about the origin

(3) translation of units right and units down

(4) dilation with a scale factor of centered at the origin

7. The diagram below shows two similar triangles.

If , what is the value of , to the *nearest tenth*?

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(2)

(3)

(4)

8. A farmer has feet of fence to enclose a rectangular vegetable garden. Which dimensions would result in the biggest area for this garden?

(1) the length and the width are equal

(2) the length is more than the width

(3) the length is more than the width

(4) the length is more than the width

9. The diagram shows rectangle , with diagonal .

What is the perimeter of rectangle , to the *nearest tenth*?

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(2)

(3)

(4)

10. Identify which sequence of transformations could map pentagon onto pentagon , as shown below.

(1) dilation followed by a rotation

(2) translation followed by a rotation

(3) line reflection followed by a translation

(4) line reflection followed by a line reflection

11. A solid metal prism has a rectangular base with sides of inches and inches, and a height of inches. A hole in the shape of a cylinder, with a radius of inch, is drilled through the entire length of the rectangular prism.

What is the approximate volume of the remaining solid, in cubic inches?

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(2)

(3)

(4)

12. Given the right triangle in the diagram below, what is the value of , to the *nearest foot*?

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(2)

(3)

(4)

13. On the graph below, point and with coordinates and are graphed.

What are the coordinates of and after undergoes a dilation centered at point with a scale factor of ?

(1) and

(2) and

(3) and

(4) and

14. In the diagram of right triangle below, .

Which ratio is always equivalent to the sine of ?

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(2)

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(4)

15. In circle , secants and are drawn from external point such that points and are on circle . If , and is more than , the length of is

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16. A parallelogram is always a rectangle if

(1) the diagonals are congruent

(2) the diagonals bisect each other

(3) the diagonals intersect at right angles

(4) the opposite angles are congruent

17. Which rotation about its center will carry a regular decagon onto itself?

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(2)

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18. The equation of a circle is . What are the

coordinates of the center and the length of the radius of this circle?

(1) center () and radius =

(2) center () and radius =

(3) center () and radius =

(4) center () and radius =

19. Parallelogram has coordinates and . Which statement would prove that is a rhombus?

(1) The midpoint of is ()

(2) The length of is

(3) The slope of is

(4) The slope of is

20. Point is on such that . If has coordinates ()

and has coordinates (), the coordinates of are

(1) ()

(2) ()

(3) ()

(4) ()

21. In the diagram below of circle and .

What is the area, in terms of , of the shaded region?

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(2)

(3)

(4)

22. A circle whose center is the origin passes through the point (). Which point also lies on this circle?

(1) ()

(2) ()

(3) ()

(4) ()

23. A plane intersects a hexagonal prism. The plane is perpendicular to the base of the prism. Which two-dimensional figure is the cross

section of the plane intersecting the prism?

(1) triangle

(2) trapezoid

(3) hexagon

(4) rectangle

24. A water cup in the shape of a cone has a height of inches and a maximum diameter of inches. What is the volume of the water in the cup, to the *nearest tenth of a cubic inch*, when the cup is filled to half its height?

(1)

(2)

(3)

(4)