1. In the diagram below, a sequence of rigid motions maps onto .

If , and , the measure of is

(1)

(2)

(3)

(4)

2. Parallelogram is drawn below with diagonals and intersecting at .

Which statement is always true?

(1)

(2)

(3)

(4)

3. The graph below shows two congruent triangles, and .

Which rigid motion would map onto ?

(1) a rotation of degrees counterclockwise about the origin

(2) a translation of three units to the left and three units up

(3) a rotation of degrees about the origin

(4) a reflection over the line

4. A man was parasailing above a lake at an angle of elevation of from a boat, as modeled in the diagram below.

If meters of cable connected the boat to the parasail, approximately how many meters above the lake was the man?

(1)

(2)

(3)

(4)

5. A right hexagonal prism is shown below. A two-dimensional cross section that is perpendicular to the base is taken from the prism.

Which figure describes the two-dimensional cross section?

(1) triangle

(2) rectangle

(3) pentagon

(4) hexagon

6. In the diagram below, has endpoints with coordinates and .

If is a point on and , what are the coordinates of ?

(1) ()

(2) ()

(3) ()

(4) ()

7. An ice cream waffle cone can be modeled by a right circular cone with a base diameter of centimeters and a volume of cubic centimeters. What is the number of centimeters in the height of the waffle cone?

(1)

(2)

(3)

(4)

8. The vertices of have coordinates , and . Under which transformation of are distance and angle measure preserved?

(1)

(2)

(3)

(4)

9. In shown below, side is extended to point with and .

What is ?

(1)

(2)

(3)

(4)

10. Circle is centered at the origin. In the diagram below, a quarter of circle is graphed.

Which three-dimensional figure is generated when the quarter circle is continuously rotated about the -axis?

(1) cone

(2) sphere

(3) cylinder

(4) hemisphere

11. Rectangle is the image of rectangle after a dilation centered at point A by a scale factor of . Which statement is correct?

(1) Rectangle has a perimeter that is the perimeter of rectangle

(2) Rectangle has a perimeter that is the perimeter of rectangle

(3) Rectangle has an area that is the area of rectangle

(4) Rectangle has an area that is the area of rectangle

12. The equation of a circle is . What are the coordinates of the center and the length of the radius of the circle?

(1) center () and radius

(2) center () and radius

(3) center () and radius

(4) center () and radius

13. In the diagram of below, is parallel to and .

The length of is

(1)

(2)

(3)

(4)

14. The line whose equation is is dilated by a scale factor of centered at the origin. Which statement is correct?

(1) The image of the line has the same slope as the pre-image but a different -intercept.

(2) The image of the line has the same -intercept as the pre-image but a different slope.

(3) The image of the line has the same slope and the same -intercept as the pre-image.

(4) The image of the line has a different slope and a different -intercept from the pre-image.

15. Which transformation would *not* carry a square onto itself?

(1) a reflection over one of its diagonals

(2) a rotation clockwise about its center

(3) a rotation about one of its vertices

(4) a reflection over the perpendicular bisector of one side

16. In circle below, diameter , chords and , and radius are drawn.

Which statement is *not* true?

(1) is a right triangle

(2) is isosceles

(3)

(4)

17. In the diagram below, and intersect at . Segments and are drawn perpendicular to to form triangles and .

Which statement is always true?

(1)

(2)

(3)

(4)

18. As shown in the diagram below, and .

If , then is

(1)

(2)

(3)

(4)

19. A parallelogram must be a rhombus if its diagonals

(1) are congruent

(2) bisect each other

(3) do not bisect its angles

(4) are perpendicular to each other

20. What is an equation of a line which passes through () and is perpendicular to the line whose equation is ?

(1)

(2)

(3)

(4)

21. Quadrilateral is inscribed in circle , as shown below.

If and , which statement is true?

(1) and

(2) and

(3) and

(4) and

22. A regular pyramid has a square base. The perimeter of the base is inches and the height of the pyramid is inches. What is the volume of the pyramid in cubic inches?

(1)

(2)

(3)

(4)

23. In the diagram below of is a right angle, , and altitude is drawn.

What is the length of ?

(1)

(2)

(3)

(4)

24. In the diagram below, two concentric circles with center , and radii and are drawn.

If and , which relationship between the length of arc and the length of arc is always true?

(1) The length of arc is units longer than the length of arc .

(2) The length of arc is units longer than the length of arc .

(3) The length of arc is times the length of arc .

(4) The length of arc is times the length of arc .