1. After a counterclockwise rotation about point , scalene triangle maps onto , as shown in the diagram below.

Which statement must be true?

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2. In the diagram below, , , and at , , and .

Which statement is true?

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3. In the diagram below, line is parallel to line . Figure 2 is the image of Figure 1 after a reflection over line . Figure 3 is the image of Figure 2 after a reflection over line .

Which single transformation would carry Figure 1 onto Figure 3?

(1) a dilation

(2) a rotation

(3) a reflection

(4) a translation

4. In the diagram below, and intersect at , and and are drawn such that , , , , and .

What is the length of ?

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5. Given square , where cm. If square is dilated by a scale factor of about a given center, what is the perimeter, in centimeters, of the image of after the dilation?

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6. In right triangle , hypotenuse has a length of cm, and side has a length of cm. What is the measure of angle , to the *nearest degree*?

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7. The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is feet wide, feet high, and feet long. The half-cylinder has a diameter of feet.

To the *nearest cubic foot*, what is the volume of the greenhouse?

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8. In a right triangle, the acute angles have the relationship . What is the value of ?

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

Which statement is always true?

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10. The base of a pyramid is a rectangle with a width of cm and a length of cm. What is the height, in centimeters, of the pyramid if its volume is cm?

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11. In the diagram below of right triangle , .

Which statement is always true?

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12. What is an equation of the line that passes through the point () and is perpendicular to a line with equation ?

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13. The diagram below shows parallelogram with diagonals and intersecting at .

What additional information is sufficient to prove that parallelogram is also a rhombus?

(1) bisects

(2) is parallel to

(3) is congruent to

(4) is perpendicular to

14. Directed line segment has endpoints and . Point divides such that is . What are the coordinates of ?

(1) ()

(2) ()

(3) ()

(4) ()

15. Triangle is graphed on the set of axes below. The vertices of have coordinates , , and .

What is the area of ?

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16. Triangle , with vertices at , , and , is graphed on the set of axes shown below.

Which figure is formed when is rotated continuously about ?

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17. In the diagram below of circle , chords and intersect at .

If and , how many degrees are in ?

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18. In triangle below, medians , , and intersect at .

Which statement must always be true?

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19. The regular polygon below is rotated about its center.

Which angle of rotation will carry the figure onto itself?

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20. What is an equation of circle shown in the graph below?

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21. In the diagram below of , is drawn parallel to , , , and .

What is the length of ?

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22. The diagram below shows circle with radii and . The measure of angle is , and the length of a radius is inches.

Which expression represents the length of arc , in inches?

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23. Line segment is the altitude drawn to hypotenuse in right triangle . If and , then, to the *nearest tenth*, is

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24. Line is dilated by a scale factor of centered at the point (). If is represented by , which equation can represent , the image of ?

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