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Practice Problems

Geometry Practice Test: Angles, Shapes, And Properties

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    Geometry Practice Test: Angles, Shapes, and Properties 1. Are O , N , and P collinear? If so, name the line on which they lie. (1 point) • No; the three points are not collinear. • Yes; they lie on the line MP . • Yes; they lie on the line NP . • Yes; they lie on the line MO . 2. Name the plane represented by the front of the box. (1 point) • FBC • BAD • FEC • FKG 3. Name the ray in the figure. (1 point) • •

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    • • 4. What is the length of ? (1 point) • 17 • 15 • 7 • 1 5. If EF = 6 and EG = 21, find the value of FG . The drawing is not to scale. (1 point) • 17 • 15 • 14 • 6 6. The complement of an angle is 25°. What is the measure of the angle? (1 point) • 75° • 155° • 65° • 165° 7. Find the coordinates of the midpoint of the segment whose endpoints are H (8, 2) and K (6, 10). (1 point)

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    • (7, 6) • (1, 4) • (14, 12) • (2, 8) 8. Find the perimeter of the rectangle. The drawing is not to scale. (1 point) • 151 feet • 208 feet • 161 feet • 104 feet 9. Find the area of a rectangle with base of 6 ft and a height of 5 ft. (1 point) • 11 ft 2 • 30 ft 2 • 22 ft 2 • 35 yd 2 10. Find the area of the circle to the nearest tenth. Use 3.14 for  . (1 point) • 30.5 in 2

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    • 295.4 in 2 • 60.9 in 2 • 73.9 in 2 11. The figure is formed from rectangles. Find the total area. The diagram is not to scale. (1 point) • 104 ft 2 • 36 ft 2 • 80 ft 2 • 68 ft 2 12. Write an expression that gives the area of the shaded region in the figure below. You do not have to evaluate the expression. The diagram is not to scale. (1 point) • A = (15 – 4) × (14 – 6) • A = (15 – 6) × (14 – 4) • A = 14 × 15 – (14 × 4) – (15 × 6) • A = 14 × 15 – 4 × 6 13.

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    Based on the pattern, what is the next figure in the sequence? (1 point) • • • • 14. What conjecture can you make about the fifteenth figure in this pattern? (1 point) • The fifteenth figure in the pattern is . • The fifteenth figure in the pattern is . • The fifteenth figure in the pattern is . • There is not enough information to make a conjecture. 15. Another name for an if - then statement is a ____. Every conditional has two parts. The part following if is the ____ , and the part following then is the ____. (1 point)

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    • conditional; conclusion; hypothesis • hypothesis; conclusion; conditional • conditional; hypothesis; conclusion • hypothesis; conditional; conclusion 16. Write this statement as a conditional in if - then form: All triangles have three sides. (1 point) • If a triangle has three sides, then all triangles have three sides. • If a figure has three sides, then it is not a triangle. • If a figure is a triangle, then all triangles have three sides. • If a figure is a triangle, then it has three sides. 17. What is the converse of the following conditional? If a point is in the first quadrant, then its coordinates are positive. (1 point) • If a point is in the first quadrant, then its coordinates are positive. • If a point is not in the first quadrant, then the coordinates of the point are not positive. • If the coordinates of a point are positive, then the point is in the first quadrant. • If the coordinates of a point are not positive, then the point is not in the first quadrant. 18. Name the Property of Congruence that justifies the statement: If . (1 point) • Symmetric Property • Transitive Property • Reflexive Property • none of these 19. Complete the two - column proof. Given:

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