1. In the diagram below, , and and are drawn.

If and , what is ?

(1)

(2)

(3)

(4)

2. If is mapped onto after a line reflection and is mapped onto after a translation, the relationship between and is that they are always

(1) congruent and similar

(2) congruent but not similar

(3) similar but not congruent

(4) neither similar nor congruent

3. An isosceles right triangle whose legs measure 6 is continuously rotated about one of its legs to form a three-dimensional object. The three-dimensional object is a

(1) cylinder with a diameter of

(2) cylinder with a diameter of

(3) cone with a diameter of

(4) cone with a diameter of

4. In regular hexagon shown below, , , and all intersect at .

When is reflected over and then rotated about point , is mapped onto

(1)

(2)

(3)

(4)

5. A right cylinder is cut perpendicular to its base. The shape of the cross section is a

(1) circle

(2) cylinder

(3) rectangle

(4) triangular prism

6. Yolanda is making a springboard to use for gymnastics. She has -inch-tall springs and wants to form a angle with the base, as modeled in the diagram below.

To the *nearest tenth of an inch*, what will be the length of the springboard, ?

(1)

(2)

(3)

(4)

7. In the diagram below of right triangle , altitude is drawn to hypotenuse .

If , , and , what is the length of ?

(1)

(2)

(3)

(4)

8. Rhombus has vertices , , , and . What is the perimeter of rhombus ?

(1)

(2)

(3)

(4)

9. In the diagram below of and , angles and are right angles, and .

If and , what is the measure of angle , to the *nearest degree*?

(1)

(2)

(3)

(4)

10. In the diagram below, , , , and are drawn such that .

Which additional statement is sufficient to prove by AAS?

(1) and bisect each other

(2) is the midpoint of

(3)

(4)

11. Which equation represents a line that is perpendicular to the line represented by ?

(1)

(2)

(3)

(4)

12. In the diagram of below, points and are on sides and repectively, such that .

If is more than , , and , what is the length of ?

(1)

(2)

(3)

(4)

13. Quadrilateral has both pairs of opposite sides congruent and parallel. Which statement about quadrilateral is always true?

(1)

(2)

(3)

(4)

14. In the figure shown below, quadrilateral is circumscribed around circle . The midpoint of is , and .

If and , what is the perimeter of quadrilateral ?

(1)

(2)

(3)

(4)

15. The coordinates of the endpoints of directed line segment are

and . If , the coordinates of are

(1) ()

(2) ()

(3) ()

(4) ()

16. In triangle , points and are on sides and , respectively, such that , and .

If and , what is the length of , to the *nearest tenth*?

(1)

(2)

(3)

(4)

17. In the diagram below, rectangle has vertices whose coordinates are , , , and .

Which transformation will not carry the rectangle onto itself?

(1) a reflection over the line

(2) a reflection over the line

(3) a rotation of about the point ()

(4) a rotation of about the point ()

18. A circle with a diameter of cm and a central angle of is drawn below.

What is the area, to the *nearest tenth of a square centimeter*, of the sector formed by the angle?

(1)

(2)

(3)

(4)

19. A child’s tent can be modeled as a pyramid with a square base whose sides measure inches and whose height measures inches. What is the volume of the tent, to the *nearest cubic foot*?

(1)

(2)

(3)

(4)

20. In the accompanying diagram of right triangle , altitude is drawn to hypotenuse .

Which statement must always be true?

(1)

(2)

(3)

(4)

21. An equation of circle is . The statement that best describes circle is the

(1) center is () and is tangent to the -axis

(2) center is () and is tangent to the -axis

(3) center is () and is tangent to the -axis

(4) center is () and is tangent to the -axis

22. In , is the perpendicular bisector of . Based upon this information, which statements below can be proven?

I. is a median.

II. bisects .

III. is isosceles.

(1) I and II, only

(2) I and III, only

(3) II and III, only

(4) I, II, and III

23. Triangle has an area of and a perimeter of . If the triangle is dilated by a scale factor of centered at the origin, what are the area and perimeter of its image, triangle ?

(1) area of and perimeter of

(2) area of and perimeter of

(3) area of and perimeter of

(4) area of and perimeter of

24. If , what is the value of ?

(1)

(2)

(3)

(4)