1. A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three dimensional object below is generated by this rotation?

2. A three-inch line segment is dilated by a scale factor of and centered at its midpoint. What is the length of its image?

(1) inches

(2) inches

(3) inches

(4) inches

3. Kevin’s work for deriving the equation of a circle is shown below.

STEP 1

STEP 2

STEP 3

STEP 4

In which step did he make an error in his work?

(1) Step 1

(2) Step 2

(3) Step 3

(4) Step 4

4. Which transformation of would result in an image parallel to ?

(1) a translation of two units down

(2) a reflection over the -axis

(3) a reflection over the -axis

(4) a clockwise rotation of about the origin

5. Using the information given below, which set of triangles can *not* be proven similar?

6. A company is creating an object from a wooden cube with an edge length of cm. A right circular cone with a diameter of cm and an altitude of cm will be cut out of the cube. Which expression represents the volume of the remaining wood?

(1)

(2)

(3)

(4)

7. Two right triangles must be congruent if

(1) an acute angle in each triangle is congruent

(2) the lengths of the hypotenuses are equal

(3) the corresponding legs are congruent

(4) the areas are equal

8. Which sequence of transformations will map onto ?

(1) reflection and translation

(2) rotation and reflection

(3) translation and dilation

(4) dilation and rotation

9. In parallelogram , diagonals and intersects at . Which statement does *not* prove parallelogram is a rhombus?

(1)

(2)

(3)

(4) bisects

10. In the diagram below of circle , and are radii, and chords , , and are drawn.

Which statement must always be true?

(1)

(2)

(3) and are isosceles

(4) The area of is twice the area of

11. A -foot support post leans against a wall, making a angle with the ground. To the *nearest tenth of a foot*, how far up the wall will the support post reach?

(1)

(2)

(3)

(4)

12. Line segment has endpoints and . What is the equation of the perpendicular bisector of ?

(1)

(2)

(3)

(4)

13. In shown below, altitude is drawn to at .

If and , which value of will make a right triangle with as a right angle?

(1)

(2)

(3)

(4)

14. In the diagram below, has vertices , and .

What is the slope of the altitude drawn from to ?

(1)

(2)

(3)

(4)

15. In the diagram below, .

Which statement is always true?

(1)

(2)

(3)

(4)

16. On the set of axes below, rectangle can be proven congruent to rectangle using which transformation?

(1) rotation

(2) translation

(3) reflection over the -axis

(4) reflection over the -axis

17. In the diagram below, and intersect at point , and and are drawn.

If and , what is the length of ?

(1)

(2)

(3)

(4)

18. Seawater contains approximately ounces of salt per liter on average. How many gallons of seawater, to the *nearest tenth of a gallon*, would contain pound of salt?

(1)

(2)

(3)

(4)

19. Line segment is the perpendicular bisector of , and and are drawn.

Which conclusion can *not* be proven?

(1) bisects angle

(2) Triangle is equilateral

(3) is a median of triangle

(4) Angle is congruent to angle

20. A hemispherical water tank has an inside diameter of feet. If water has a density of pounds per cubic foot, what is the weight of the water in a full tank, to the *nearest pound*?

(1)

(2)

(3)

(4)

21. In the diagram of , points and are on and , respectively, such that .

If and , what is the length of ?

(1)

(2)

(3)

(4)

22. Triangle is graphed on the set of axes below.

How many square units are in the area of ?

(1)

(2)

(3)

(4)

23. The graph below shows , which is a chord of circle . The coordinates of the endpoints of are and . The distance from the midpoint of to the center of circle is units.

What could be a correct equation for circle ?

(1)

(2)

(3)

(4)

24. What is the area of a sector of a circle with a radius of inches and formed by a central angle that measures ?

(1)

(2)

(3)

(4)