PAP Geometry Ch#1 & 2 Essentials & Reasoning Name:

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1 PP Geometry h#1 & 2 Essentials & Reasoning Name: Date: Per: True or False: E D 1. Points,, and D are collinear. 2. Points, F, and H are coplanar. 3. Points H,, D, and are coplanar. G F H 4. XV is the same as XY 5. WX is the same as XW 6. ZX is the same as WZ 7. YX is the same as YV 8. XV and XY are opposite rays. V Z X Y W 9. Find. 10. Find D. D Solve. Show work. K 11. L is the midpoint of KM 12. KL = 2x + 9, LM = 3x + 4, KM = 8x - 20 KL = 3x 8 LM = x + 10 x = KL = x = KM = PP GEO V 1.0

2 PP Geometry h#1 & 2 Essentials & Reason E bisects < D. Find the value of x. D 13. m<3 = 6x, m<d = 90 - x E Use image above: m < 1 = 7x + 3, m< 2 = 6x Use image above: m< 1 = x, m<3 = 4x True or false. 16. < and <E form a linear pair. 17. is the midpoint of D 18. = 1 D <E < 20. D D E 21. is the midpoint of E 22. The measure of an angle is 9 as large as its complement. Find the measure of the angle and of the 11 complement. 23. supplement of an angle is 11 times as large as a complement of the angle. Find the measure of the angle, its supplement, and its complement. PP GEO V 1.0

3 PP Geometry h#1 & 2 Essentials & Reason Find x. Show work x 21 x x + 8 2x x + 9 x + 30 Find the distance from to and the coordinates of the midpoint of. Show work. 27. (-2, -1) (-4, 3) 28. (12, -1) (0, -6) 29) is a diameter is the given circle. If (-4, -5) and (2, -1), find the center of the circle and the length of the radius. enter (, ) radius PP GEO V 1.0

4 PP Geometry h#1 & 2 Essentials & Reason Find each answer. 30. The coordinates of the midpoint of ST 31. The midpoint of EF is (-3, 7). are (-3, 5). The coordinates of S are The coordinates of E are (-3, 10). Find (8, 1). Find the coordinates of T. the coordinates of F. omplete each statement with always, sometimes, or never to make a true statement. 32. Two points are collinear. 33. Three planes intersect in exactly one point. 34. If two planes intersect, then they intersect in exactly one line. 35. Two lines intersect in more than one point. 36. Three points are coplanar. Multiple choice. 37. sign at the Great Food afé says that the maximum number of people it can serve is 225 people. The restaurant has 3 large tables which seat 12 people at each and x table which seat 6 people each. Which inequality could be used to determine the number of tables for 6 in the restaurant? 6x x < x 225 D 6 x 24 < 225 E 6x rental company charges $26.50 to rent a wheelchair for the first week and $21.50 for every week after the first. If Mindy s rental fee was $69.50, which equation could be used to find out how many total weeks w she used the wheel chair? 21.5w = w 21.5 = (w 1) = 26.5 D 21.5(w 1) = 69.5 E 21.5(w 1) = 69.5 PP GEO V 1.0

5 PP Geometry h#1 & 2 Essentials & Reason 39. The pattern of squares below continues infinitely, with more squares being added at each step. First Step Second Step Third Step Which expression can be used to determine the number of squares in the nth step? 2n n(n+2) n(n + 1) D 2(n+ 1) E n + 3 Solve. Show work. 40. omplete the table below. Then use the information in the table to answer the question below. The first 2 numbers of a sequence are 1 and 3, respectively. The third number is 4, and, in general, every number after the second is the sum of the two numbers immediately preceding it. How many of the first 1,000 numbers in this sequence are odd? D 666 E 667 Every set of 3 has two odds and one even Pattern Table Number of Term 1 st Term 2 nd Term 3 rd Term 4 th Term 5 th Term 6 th Term 7 th Term 8 th Term 9 th Term Number 41. Write the converse, inverse, and contrapositive for the following conditional statement. Label each statement including the conditional as true or false. (1 point per blank) onditional: If x = -6, then x = 6 onverse: Inverse: ontrapositive: PP GEO V 1.0

6 PP Geometry h#1 & 2 Essentials & Reason Decide if the following statement is true or false. If it is false, give a counterexample. Qqqqqqqqqqqqqqqqqq If xy < 0, then x < n athletic field is a rectangle, 100 yards by 40 yards, With a semicircle at each of the short sides. running track 10 yards wide surrounds the field. Find the perimeter of the outside of the running track to the nearest tenth of a yard. 40 yds 10 yds 100 yds 45. The base of a rectangle is 5 feet less than six times the height of the rectangle. The area of the rectangle is 56 square feet. Find the base and height of the rectangle. Show algebraic work. PP GEO V 1.0

NAME DATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following.

NAME DATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following. NAME ATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following. 1. m = Solve for m : m 7 = -13 + m FIRST SIX-WEEKS REVIEW 2. x