1. A two-dimensional cross section is taken of a three-dimensional object. If this cross section is a triangle, what can *not* be the three dimensional object?

(1) cone

(2) cylinder

(3) pyramid

(4) rectangular prism

2. The image of is . Under which transformation will the triangles *not* be congruent?

(1) a reflection through the origin

(2) a reflection over the line

(3) a dilation with a scale factor of centered at ()

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

3. The vertices of square have coordinates and . What is the perimeter of ?

(1)

(2)

(3)

(4)

4. In the diagram below of circle , chord is parallel to diameter and

What is ?

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(2)

(3)

(4)

5. In the diagram below, intersects at , and .

If cm, cm, cm, and cm, what is the length of , to the *nearest hundredth of a centimeter*?

(1)

(2)

(3)

(4)

6. As shown in the graph below, the quadrilateral is a rectangle.

Which transformation would not map the rectangle onto itself?

(1) a reflection over the -axis

(2) a reflection over the line

(3) a rotation of about the origin

(4) a rotation of about the point ()

7. In the diagram below, triangle has points and on sides and , respectively, such that and .

What is the length of , to the *nearest tenth*?

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(2)

(3)

(4)

8. In the diagram below of parallelogram is and is .

What is ?

(1)

(2)

(3)

(4)

9. In the diagram below, and .

Which triangle similarity statement is correct?

(1) by AA

(2) by SAS

(3) by SS

(4) is not similar to

10. The line represented by the equation is transformed by a dilation centered at the origin. Which linear equation could represent its image?

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(4)

11. Given with and side extended to as shown below.

Which value of makes ?

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12. In the diagram shown below, is tangent to circle at , and secant is drawn where point is on circle .

If and , what is the length of ?

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(3)

(4)

13. A rectangle whose length and width are and , respectively, is shown below. The rectangle is continuously rotated around a straight line to form an object whose volume is .

Which line could the rectangle be rotated around?

(1) a long side

(2) a short side

(3) the vertical line of symmetry

(4) the horizontal line of symmetry

14. If is a parallelogram, which statement would prove that is a rhombus?

(1)

(2)

(3)

(4)

15. To build a handicapped-access ramp, the building code states that for every inch of vertical rise in height, the ramp must extend out inches horizontally, as shown in the diagram below.

What is the angle of inclination, , of this ramp, to the *nearest hundredth of a degree*?

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(2)

(3)

(4)

16. In the diagram below of and are the midpoints of and , respectively.

What is the ratio of the area of to the area of ?

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17. The coordinates of the endpoints of are and . Point is on . What are the coordinates of point , such that is ?

(1) ()

(2) ()

(3) ()

(4) ()

18. Kirstie is testing values that would make triangle a right triangle when is an altitude, and as shown below.

Which lengths would make triangle KLM a right triangle?

(1) and

(2) and

(3) and

(4) and

19. In right triangle and cm. What is the length of , to the *nearest tenth of a centimeter*?

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(2)

(3)

(4)

20. The 2010 U.S. Census populations and population densities are shown in the table below.

Based on the table above, which list has the states’ areas, in square miles, in order from largest to smallest?

(1) Illinois, Florida, New York, Pennsylvania

(2) New York, Florida, Illinois, Pennsylvania

(3) New York, Florida, Pennsylvania, Illinois

(4) Pennsylvania, New York, Florida, Illinois

21. In a right triangle, . What is the value of ?

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22. A regular decagon is rotated degrees about its center, carrying the decagon onto itself. The value of could be

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23. In a circle with a diameter of , the area of a sector is . The measure of the angle of the sector, in radians, is

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24. What is an equation of the perpendicular bisector of the line segment shown in the diagram below?

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(2)

(3)

(4)