1. EOC Practice
43. What geometric construction is shown in the diagram below?
A an angle bisector
B a line parallel to a given line
C an angle congruent to a given angle
D a perpendicular bisector of a segment

2. EOC Practice 44. Approximately how many feet tall is the streetlight?
B 15.4
C 16.8
D 23.8

3. EOC Practice
45. In the accompanying diagram, 𝑚𝐴∠=32°and 𝐴𝐶 =10. Which equation could be used to find 𝑥 in 𝐴𝐵𝐶 ?

4. EOC Practice
46. What is the approximate height, in feet, of the tree in the figure below?
𝟕𝟔.𝟔

5. EOC Practice
47. If 𝑎 =3 3 in the right triangle below, what is the value of b? 𝟗

6. EOC Practice
48. What is the value of x in the triangle below?
𝟓 𝟐

7. EOC Practice
49. In the circle below, AB and CD are chords intersecting at E.
If 𝐴𝐸 =5, 𝐵𝐸 =12, and 𝐶𝐸 =6, what is the length of 𝐷𝐸 ? 𝟏𝟎

8. EOC Practice
50. A square is circumscribed about a circle. What is the ratio of the area of the circle to the area of the square?
𝝅 𝟒

9. EOC Practice
51. 𝑅𝐵 is tangent to a circle, whose center is A, at point B. 𝐵𝐷 is a diameter.
A 50° B 65° C 90° D 130°

10. EOC Practice
52. In the figure below, 𝐴𝐵 is tangent to circle O at point A, secant BD intersects circle O at points C and D, 𝑚 𝐴𝐶 = 70°, and 𝑚 𝐶𝐷 = 110°.
What is 𝑚∠𝐴𝐵𝐶?
A 20° B 40° C 55° D 70°

11. EOC Practice
53. In the circle shown below, the measure of 𝑃𝑅 =140° and the measure of ∠𝑅𝑃𝑄 =50 .
What is the measure of 𝑃𝑄 ?
A 50°
B 60°
C 70°
D 120°

12. EOC Practice
54. The vertices of ∆𝐴𝐵𝐶 are 𝐴(2, 1), 𝐵(3, 4), and 𝐶(1, 3). If ∆𝐴𝐵𝐶 is translated 1 unit down and 3 units to the left to create ∆𝐷𝐸𝐹, what are the coordinates of the vertices of ∆𝐷𝐸𝐹?
A 𝐷(0, 1), 𝐸(1, 2), 𝐹(1, 3)
B 𝐷(0, –1), 𝐸(0, 3), 𝐹(–2, –2)
C 𝐷(–2, 2), 𝐸(0, 3), 𝐹(–1, 0)
D 𝐷(–1, 0), 𝐸(0, 3), 𝐹(–2, 2)

13. EOC Practice 55. If triangle 𝐴𝐵𝐶 is rotated 180 degrees about the
origin, what are the coordinates of 𝐴′?
A −5, −4
B −5, 4
C −4, 5
D −4, −5

14. EOC Practice
56. Trapezoid 𝐴𝐵𝐶𝐷 below is to be translated to trapezoid 𝐴 ′ 𝐵 ′ 𝐶 ′ 𝐷 ′ by the following motion rule.
𝒙,𝒚 → 𝒙+𝟑,𝒚−𝟒
What will be the coordinates of vertex 𝐶′?
A 1, −3
B 2, 1
C 6, 1
D 8, −3

15. EOC Practice
57. Which expression describes the translation of a point from −3,4 to 4,−1 ?
A 7 units left and 5 units up
B 7 units right and 5 units up
C 7 units left and 5 units down
D 7 units right and 5 units down

16. EOC Practice
58. Let's say you opened your laptop and positioned the screen so it's exactly at 90°—a right angle—from your keyboard. Now, let's say you could take the screen and push it all the way down beyond 90°, until the back of the screen is flat against your desk. It looks as if the angle disappeared, but it hasn't. What is the angle called, and what is its measurement?
A. Straight angle at 180° B. Linear angle at 90°
C. Collinear angle at 120° D. Horizontal angle at 180°

17. EOC Practice
59. The point (−7,4) is reflected over the line 𝑥 = −3. Then, the resulting point is reflected over the line 𝑦 = 𝑥. Where is the point located after both reflections?
A. (−10, −7)
B. (1, 4)
C. (4, −7)
D. (4, 1)

18. EOC Practice 60. Given: 𝐴𝐵 with coordinates of (−3,−1) and 𝐵(2, 1)
Which translation was used?
A. (𝑥′, 𝑦′) → (𝑥 + 2, 𝑦 + 3)
B. (𝑥′, 𝑦′) → (𝑥 + 2, 𝑦 − 3)
C. (𝑥′, 𝑦′) → (𝑥 − 2, 𝑦 + 3)
D. (𝑥′, 𝑦′) → (𝑥 − 2, 𝑦 − 3)

19. EOC Practice
61. The graph of a figure and its image are shown below. Identify the transformation to map the image back onto the figure.
𝒙=−𝟑

20. EOC Practice
61. The graph of a figure and its image are shown below. Identify the transformation to map the image back onto the figure.

21. EOC Practice
62. A triangle has vertices at (−3, − 1), 𝐵(−6, − 5), 𝐶(−1, − 4). Which transformation would produce an image with vertices 𝐴′(3, − 1), 𝐵′(6, − 5), 𝐶′(1, − 4)?
A. a reflection over the 𝑥 − 𝑎𝑥𝑖𝑠
B. a reflection over the 𝑦 − 𝑎𝑥𝑖𝑠
C. a rotation 90° clockwise
D. a rotation 90° counterclockwise

22. EOC Practice 63. Which figure has 90° rotational symmetry?
A. Square B. regular hexagon
C. regular pentagon D. equilateral triangle