1. In the diagram below, lines , , , and intersect line .

Which statement is true?

(1)

(2)

(3)

(4)

2. Which transformation would *not* always produce an image that would be congruent to the original figure?

(1) translation

(2) dilation

(3) rotation

(4) reflection

3. If an equilateral triangle is continuously rotated around one of its medians, which -dimensional object is generated?

(1) cone

(2) pyramid

(3) prism

(4) sphere

4. In the diagram below, , and .

Which statement is true?

(1) is obtuse

(2) is isosceles

(3)

(4) is scalene

5. Which point shown in the graph below is the image of point after a counterclockwise rotation of about the origin?

(1)

(2)

(3)

(4)

6. In , where is a right angle, . What is ?

(1)

(2)

(3)

(4)

7. Quadrilateral with diagonals and is shown in the diagram below.

Which information is *not* enough to prove is a parallelogram?

(1) and

(2) and

(3) and

(4) and

8. An equilateral triangle has sides of length . To the *nearest tenth*, what is the height of the equilateral triangle?

(1)

(2)

(3)

(4)

9. Given: , and

What is a correct sequence of similarity transformations that shows ?

(1) a rotation of degrees about point followed by a horizontal translation

(2) a counterclockwise rotation of degrees about point followed by a horizontal translation

(3) a rotation of degrees about point followed by a dilation with a scale factor of centered at point

(4) a counterclockwise rotation of degrees about point followed by a dilation with a scale factor of centered at point

10. In the diagram of right triangle , intersects hypotenuse at .

If and , which length of makes ?

(1)

(2)

(3)

(4)

11. Segment is the perpendicular bisector of at . Which pair of

segments does *not* have to be congruent?

(1)

(2)

(3)

(4)

12. In triangle is on , and is on so that .

If , and , what is the length of ?

(1)

(2)

(3)

(4)

13. The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a

(1) circle

(2) square

(3) triangle

(4) rectangle

14. The diagonals of rhombus intersect at . If the equation of the line that contains diagonal is , what is the equation of a line that contains diagonal ?

(1)

(2)

(3)

(4)

15. The coordinates of vertices and of are and . If the area of is square units, what could be the coordinates of point ?

(1) ()

(2) ()

(3) ()

(4) ()

16. What are the coordinates of the center and the length of the radius of the circle represented by the equation ?

(1) center () and radius

(2) center () and radius

(3) center () and radius

(4) center () and radius

17. The density of the American white oak tree is kilograms per cubic meter. If the trunk of an American white oak tree has a circumference of meters and the height of the trunk is meters, what is the approximate number of kilograms of the trunk?

(1)

(2)

(3)

(4)

18. Point is on the directed line segment from point to point and divides the segment in the ratio . What are the coordinates of point ?

(1) ()

(2) ()

(3) ()

(4) ()

19. In circle , diameter , chord , and radius are drawn, and the measure of arc is .

Some students wrote these formulas to find the area of sector :

Amy

Beth

Carl

Dex

Which students wrote correct formulas?

(1) Amy and Dex

(2) Beth and Carl

(3) Carl and Amy

(4) Dex and Beth

20. Tennis balls are sold in cylindrical cans with the balls stacked one on top of the other. A tennis ball has a diameter of cm. To the *nearest cubic centimeter*, what is the minimum volume of the can that holds a stack of tennis balls?

(1)

(2)

(3)

(4)

21. Line segment , whose endpoints are () and (), is the image of after a dilation of centered at the origin. What

is the length of ?

(1)

(2)

(3)

(4)

22. Given: and shown in the diagram below with

Which statement is needed to prove using ?

(1)

(2)

(3)

(4)

23. In the diagram below, is the diameter of circle .

Point , which is unique from points and , is plotted on circle . Which statement must always be true?

(1) is a right triangle.

(2) is an isosceles triangle.

(3) and are similar triangles.

(4) and are congruent triangles.

24. In the diagram below, is a parallelogram, is extended through to , and is drawn.

If and , what is ?

(1)

(2)

(3)

(4)