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) 
