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)