Geometry Test 4/29/11 - WPHS Green Wave Math



Geometry Test 4/29/11

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. Find the measures [pic] and [pic].

[pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 2. Given that [pic] bisects [pic] and [pic], find [pic].

[pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 3. Write an equation in point-slope form for the perpendicular bisector of the segment with endpoints [pic] and [pic].

|a. |[pic] [pic][pic] |c. |[pic][pic][pic] |

|b. |[pic] [pic][pic] |d. |[pic] [pic][pic] |

____ 4. Consider the points [pic], [pic], [pic], and [pic]. P is on the bisector of [pic]. Write an equation of the line in point-slope form that contains the bisector of [pic].

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 5. Find the circumcenter of [pic] with vertices [pic].

[pic]

|a. |(1, 1) |c. |[pic] |

|b. |(0, 0) |d. |[pic] |

____ 6. [pic] are the angle bisectors of [pic] and [pic], respectively. [pic], and m[pic]. Find m[pic].

[pic]

|a. |m[pic] = [pic] |c. |m[pic] = [pic] |

|b. |m[pic] = [pic] |d. |m[pic] = [pic] |

____ 7. The diagram shows a new kind of triangular bread. Where should the baker place her hand while spinning the dough so that the triangle is balanced? (find the centroid)

[pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 8. Find the orthocenter of [pic] with vertices [pic].

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 9. Given [pic] with [pic], [pic], and [pic], find the length of midsegment [pic].

[pic]

|a. |XY = 3 |c. |XY = 2.5 |

|b. |XY = 1.5 |d. |XY = 2 |

____ 10. Vanessa wants to measure the width of a reservoir. She measures a triangle at one side of the reservoir as shown in the diagram. What is the width of the reservoir (BC across the base)?

[pic]

|a. |300 m |c. |75 m |

|b. |150 m |d. |100 m |

____ 11. Reflect a figure with vertices [pic] across the x-axis. Find the coordinates of the new image.

|a. |[pic] |

|b. |[pic] |

|c. |[pic] |

|d. |[pic] |

____ 12. Find that coordinates of the image of the point [pic] when it is reflected across the line [pic].

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 13. Translate the triangle with vertices [pic] along the vector [pic]. Find the coordinates of the new image.

|a. |[pic] |

|b. |[pic] |

|c. |[pic] |

|d. |[pic] |

____ 14. Rotate [pic] with vertices R(4, –1), S(5, 3), and Q(3, 1) by 90° about the origin.

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 15. The revolving restaurant on top of a hotel in San Francisco, California takes 45 minutes to complete a full rotation. A table that is 30 ft from the center of the restaurant starts at position (30, 0). What are the coordinates of the table after 9 minutes? Round to the nearest tenth.

|a. |(9.3, 28.5) |c. |(23, 19.3) |

|b. |(28.5, 9.3) |d. |(11.3, 17.3) |

____ 16. [pic] has vertices A(3, –1), B(4, 3), and C(2, 1). Rotate [pic] 90° about the origin and then reflect it across the x-axis.

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 17. The point [pic] is rotated [pic] about point [pic] and then reflected across the line [pic]. Find the coordinates of the image [pic].

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 18. Determine which of the following polygons cannot be used to form a tessellation.

|a. |regular heptagon |c. |regular triangle |

| |[pic] | |[pic] |

|b. |regular hexagon |d. |rectangle |

| |[pic] | |[pic] |

____ 19. Tell whether the transformation appears to be a dilation. Explain.

[pic]

|a. |Yes; the figures are similar, and the image is not turned or flipped. |

|b. |No; the figures are not similar. |

____ 20. Given the rectangle and the center of dilation P, which of the following is a dilation with a scale factor of 2?

[pic]

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

____ 21. The equation of the line a is [pic]. Find the equation of the image of line a after a dilation centered at the origin with scale factor 2.

|a. |[pic] |c. |[pic] |

|b. |[pic] |d. |[pic] |

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