1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area?


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1 1. A person has 78 feet of fencing to make a rectangular garden. What dimensions will use all the fencing with the greatest area? (a) 20 ft x 19 ft (b) 21 ft x 18 ft (c) 22 ft x 17 ft 2. Which conditional has the same truth value as its converse? (a) If, then. (b) If a figure is a square, then it has four sides. (c) If, then. 3. Which statement is the Law of Detachment? (a) If is a true statement and is true, then is true. (b) If is a true statement and is true, then is true. (c) If is a true statement and q is true, then is true. 4. In the figure shown,. Which of the following statements is false? (a) (b) (c) and are adjacent angles
2 5. How are the two angles related? (a) Adjacent (b) Supplementary (c) Vertical 6. Which angles are corresponding angles? (a) 8 and 16 (b) 7 and 8 (c) 4 and 8 7. Complete the statement. If a transversal intersects two parallel lines, then. (a) Corresponding angles are supplementary (b) Sameside interior angles are complementary (c) Alternate interior angles are congruent
3 8. The Polygon AngleSum Theorem states: The sum of the measures of the angles of an ngon is. (a) (b) ( ) (c) ( ) 9. Complete this statement. (a) Regular (b) Equilateral (c) Equiangular A polygon whose sides all have the same length is said to be. 10. Which two lines are parallel? I. II. III. (a) I and II (b) I and III (c) II and III 11. Write an equation for the line perpendicular to that contains ( ). (a) ( ) (b) ( ) (c) ( )
4 12. If, which of the following can you NOT conclude as being true? (a) (b) (c) 13. Can you use the ASA Postulate, the AAS Theorem, or both to prove the triangles congruent? (a) ASA only (b) AAS only (c) Either ASA or AAS 14. Name the theorem or postulate that lets you immediately conclude. (a) SAS (b) ASA (c) AAS
5 15. The length of is shown. What other length can you determine from this diagram? (a) (b) (c) 16. Where can the medians of a triangle intersect? I. Inside the triangle II. On the triangle III. Outside the triangle (a) I only (b) III only (c) I or II only 17. In angle measures Which are possible measures of angles and (a) (b) (c) 18. Which three lengths could be the lengths of the sides of a triangle? (a) 5 cm, 12 cm, 17 cm (b) 10 cm, 15 cm, 24 cm (c) 9 cm, 11 cm, 22 cm
6 19. Which statement is true? (a) All quadrilaterals are rectangles. (b) All quadrilaterals are squares. (c) All quadrilaterals are parallelograms. 20. If one measurement of a golden rectangle is 8.8 inches, which could be the other measurement? (a) (b) (c) Find the value of x. Round your answer to the nearest hundredth place. (a) 9.22 (b) (c) Which type of isometry is the equivalent of two reflections across intersecting lines? (a) Rotation (b) Reflection (c) Glide reflection
7 23. If, which equation must be true? (a) (b) (c) 24. Write the standard equation of the circle in the graph. (a) ( ) ( ) (b) ( ) ( ) (c) ( ) ( ) 25. Which regular polygon can be used to form a tessellation? (a) Triangle (b) Octagon (c) Decagon
8 26. You have a cube whose inside measurements are 5 x 5 x 5 units and there are 125 unit cubes inside the cube. There is no top to the large cube. How many unit cubes are touching either a side and/or bottom of the large cube? (a) 96 (b) 91 (c) What is the value of x in the circle? (a) 25 (b) 20 (c) What is the area of a regular pentagon with side length 4 cm? Round your answer to the nearest tenth. (a) 16.2 cm 2 (b) 27.5 cm 2 (c) 41.5 cm 2
9 29. What is the volume of a square pyramid whose base is 16 in. and slant height is 10 in.? (a) 512 in 3 (b) 256 in 3 (c) 106 2/3 in Which statement is true for both a rhombus and a kite? (a) The diagonals are congruent (b) Opposite sides are congruent (c) The diagonals are perpendicular 31. What are the values of a and b in the figure? Point O is the center of the circle. (a) a=130 and b=90 (b) a=130 and b=50 (c) a=65 and b= In any triangle let point P be the intersection of three angle bisectors. What is point P? (a) Centroid (b) Center of the circumscribed circle (c) Center of the inscribed circle
10 33. In any triangle, the median is found by doing what? (a) Finding the angle bisectors (b) Finding the vertex to the midpoint of the opposite side of each angle (c) Perpendicular from the center to a tangent to the circle 34. In an isosceles trapezoid, if the base angle is 2x and the angle which shares the diagonal is 1300, what is the value of x? (a) 20 (b) 25 (c) Suppose in ΔABC angle B is a right. If side BC is 15 and AB is 7, find the measure of angle A to the nearest tenth of degree. (a) (b) (c) In a 30o 60o 90o triangle, if the length of the hypotenuse is the side opposite of the 60o angle? (a) 18.5 in. (b) 37 in. (c) 55.5 in. in., what is the exact length of
11 37. and are tangent to circle O. What is the value of x? (a) 58 (b) 63 (c) What is the value of x to the nearest tenth? (a) 20.6 (b) 13.6 (c) What is the radius of a circle if the circumference is 9? (a) 18π (b) 4.5π (c)
12 40. Which is always true about skew lines? (a) The lines are parallel (b) The lines are coplanar (c) The lines are noncoplanar and do not intersect 41. In the picture below the circles have diameters equal to the side of the square. What is the area of the region common to both circles? (a) (b) 6 (c) If x is a number greater than 0.5 what is the area of a triangle with sides of lengths 1, x, and x? (a) (b) (c) ( ) 43. Let Δ be isosceles with and. What is the measure of? Round your answer to the nearest integer. (a) 70 0 (b) 76 0 (c) 82 0
13 44. Let Δ be equilateral with side of length and a point in its interior. If each of the points and is the foot of the perpendicular from to the sides of the triangle then what is the value of? (a) (b) (c) 45. Classify the triangle with vertices of coordinates ( ), ( ), and ( ). (a) Scalene obtuse (b) Isosceles (c) Equilateral 46. A ladybug is trapped within a rectangular region the shape of a square. What is the probability that the ladybug is found outside the disk inscribed in the square? (a) /4 (b) 3π/4 (c) π/4 47. A rectangular airport runway is x feet long and y feet wide. If its length is to be made 100 feet longer, by how many square feet will its area be increased? (a) xy+100 (b) 100y (c) xy+100y 48. Which of the following equations describes a circle? (a) ( ) (b) (c) ( )
14 49. Negate the statement All geometers are mathematicians (a) At least one mathematician is not a geometer (b) At least one geometer is a mathematician (c) At least one geometer is not a mathematician 50. An equilateral triangle whose side length is equal to surface area thus obtained? (a) (b) (c) rotates about its height. What is the total
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