C C. lines QS and AC D. lines AC and UR

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1 Pre-P Geometry Fall Semester xam Review. What is the coordinate of the midpoint of F if point F is at 0 and point is at 6? Point U is between points T and. If TU = 4x 5, U = x +, and T = 5x, find x Refer to the figure at the right for Questions 3, 4 and 5 3. The plane containing S,,, K appears to be parallel to the p lane containing which points?.. Q,, K, S. Q, U, R, U., S, Q, U. U, R,, 4. Which of the following appear to be skew lines? Q S. lines Q and R. lines QU and K. lines QS and. lines and UR K 5. Line K does not appear to be parallel to the plane containing which points?. U,,. Q, U,. Q, S,. Q, U, R 6. Find the length of the segment with endpoints K(0,) and V(9,4) If T and T form a linear pair and T is obtuse, then T is. acute. obtuse. right. straight 8. Find m if, m = 3x 5, and m = x Find m (4x+3) (6x-3) 0. If m = 45 and m = 0, find m

2 . Find the coordinates of the midpoint of MN for M(8,8) and N(-,).. (-8,). (-,5). (5,3). (3,5). If bisects and m = 6, find m In which diagram(s) are and supplementary? I II III IV. I only. II only. II and IV. I, III, and IV 4. If m = 7x 5 and m = 5x + 7, what is the value of x? and 5 form a linear pair and m4 = 6. Find m If and are supplementary angles and m is x, which equation can be used to find y, m?. y = 90 + x. y = 90 x. y = 80 x. y = 80 + x 7. The measure of an angle is 38 degrees more than the measure of its complement. Find the measure of the angle If two points lie in a plane, what must be true about the entire line containing those two points?. The entire line lies in that plane.. The entire line lies outside that plane.. The line contains points that lie outside the plane.. none of these. 9. television screen measures approximately 5.5 inches high and 9.5 inches wide. television is advertised by giving the approximate length of the diagonal of its screen. How should this television be advertised?. 0 inches. 5 inches. 30 inches. 35 inches

3 0. ssign a coordinate system for a baseball diamond and a point in the field as follows: (0, 0), (90, 0), (90, 90), (80, 0), (0, 90). If a right fielder throws the baseball from point to third base (point ), how far does the ball travel?. 0 (80,0) (90,90) (0,90) (90,0) Use the figure at the right for the next 4 questions.. Identify the special angle pair name for 0 and 6.. alternate interior. vertical. corresponding. alternate exterior 0 9. Given l m and m5 = 7, find m Given lm, m = 9x + 5, and m3 = x + 37, find the value of x Given m8 = 5x - and m9 = 3x + 70, find the value of x so that l m (0,0) l p m 5. Which figure shows the line with a slope of 3 passing through P(0,3)? Find the slope of the line passing through J(0,5) and K(-,) /3. /3 7. Find the slope of any line parallel to the line passing through G(,-3) and H(-,4).. 7/3. 3/7. 3/7. 7/3 8. What is the slope of any line perpendicular to the line y = -3? undefined 9. Name the equation of the line whose slope = 5, and y-intercept = 3/?. y = ¾x 3/. y = 5(x 3). y = 3/x 5. y = 5x + 3/

4 30. Find the value of x so that m n a 3x+ b m 48 n 3. Name the equation of the line whose slope = -¾, and passes through (-, 5)?. y = -¾x 5. y + 5 = -¾(x ). y + = ¾(x 5). y 5 = -¾(x + ) 3. Name the equation of the line through the points (, 0) and (-, ). y = x +0. y = ½ x +9. y = ½ x +0. y = x Name the x and y intercepts for the line 6x + 9y = 8.. (3, 0); (0, 7). (, 0); (0, 3). (3, 0); (0, ). (8, 0); (0, 8) 34. Name a point the line y + = -(x -4) passes through?. (-, ). (4, -). (-4, ). (-4, ) 35. Name the slope of the line y + 3 = -½(x - ).. ½. /3. -½. 3/ 36. Name the equation of a line parallel to y = -4x + 9, passing through point (-, 7). y - 7 = -4(x + ). y + = ¼(x + 7). y + 7 = 4(x ). y - 7 = -¼(x ) 37. Name the equation of the line perpendicular to y 4 = 3(x - 8), with y-intercept = 6.. y = -/3x + 6. y = 3x - 6. y = /3x - 4. y = -/3x - 6 The vertices of are (, 8), (-, -4), and (6, ) 38. Write the equation of the line containing the perpendicular bisector of.. y = x. y = x 5. y = x + 5. y = x Write the equation of the line containing the altitude to.. y = x 5. y = x + 9. y = x + 5. y = x + 5

5 40. Which of the following is the graph of 4x + 6y = 4? Which of the following is the graph of y + = (x )? Which of the following is the graph of y = x + 3? Which kind of transformation does not preserve segment length?. reflection. translation. rotation. dilation 44. Which of the capital letters, G,, J, or R has at least one line of symmetry?.. J. R. G

6 45. The reflection image of figure with respect to y-axis is. figure. figure 3. figure 4. figure 5 y Which figure is a rotation of figure 3?. figure. figure. figure 4. figure x 47. Which figure is a translation of figure 5?. figure. figure. figure 3. figure Which figure is a reflection of figure with respect to the y-axis and then the x-axis?. figure. figure 3. figure 4. figure The coordinates of the image of after a reflection over the y-axis are:. (5,-), (4,-7), (,-3). (-5,), (-4,7), (-,3). (-,-5), (-7,-4), (-3,-). (-,5), (-7,4), (-3,) 50. The coordinates of the image of quadrilateral FG after a slide of units up and 3 units left are:. (4,), (6,-), F(0,-8), G(-,-4). (0,8), (,4), F(-4,-), G(-,-). (5,3), (7,-), F(,-7), G(-,-3). (-,7), (,3), F(-5,-3), G(-7,) G F 5. The dashed triangle is the image of the solid triangle. What is the scale factor?. ½. 3. /3. 5. The line y = 3x + 6 is reflected over the y-axis. What is the equation of the reflection?. y = -3x + 6. y = -3x 6. y = 3x 6. y = (/3)x + 6

7 53. Which of the following transformations would preserve the slopes of lines? I. Translations II. 80 rotation III. Reduction IV. Reflection over the y-axis V. Vertical Shrink. I, IV, and V. II and III. I, II, and III. I V In the next two problems, solve each proportion by using cross products x x 9 x When he bowls, Jimmy uses the sight marks to aim the ball. Suppose he misses the mark by 5 cm in a bowling alley that is 5 m long. If the mark is m from the point when the ball is released, by how much will he miss the pin?. 6 cm cm cm ball cm m 5 cm x pin 5 m ( to pin) 57. In FG, HI GF. If I = 8, IF = 4, and H = 5, find HG H 5 G 8 I 4 F

8 58. To find the distance x across a river, a surveyor located points W,, T,, and R through direct measurement. Find the distance across the river.. 98 ft. 3 ft. 7 ft x. 84 ft 48 ft W 84 ft T 56 ft R 59. In the figure at the right, LMN PQR, NO is an altitude of LMN, and RS is an altitude of PQR. If NO =, LN = x, RS = 3, and PR = x + 6, find x L O N M P R S Q 60. For the figure at the right, find the value of x x+6 x 8 6. If F, R is the median to, and S is the median to F, = 0, F =, and S = 5, find R In PQR, JG RQ. PJ =, JR = 6, JG = 3. Find RQ.. 4 P G Q. 9 J.. 8 R 63. Wu wants to build a dollhouse for his sister using a plan he found on the internet. The height of the door for the dollhouse on the plan is inches. The height of the door of the actual doll house will be feet. What is the similarity ratio of the plan to the actual dollhouse? R 6 S F lassify by sides if (,5), (-3,), and (-,-3).. equilateral. isosceles. scalene. right

9 65. TS is isosceles with vertex. Find x Find the value of x. (see diagram at right) x-6 T W 3x+ x+3 S (3x-) (x) Y 67. Find m. (see diagram at right) lassify KLM if mk = x +, ml = 3x+5, and mm = x-7.. acute. right. obtuse. equiangular (x-) 40 (x+3) Z 69. The perimeter of is 63 and =x+5, =x-7, and =x+5. lassify the triangle by the lengths of its sides.. scalene. isosceles. equilateral. right 70. In isosceles triangle, is the vertex angle. If m = 3x 6 and m = x, find the measure of Find x so that F if = x + 4, =, = 3x, and F = 5x What additional information do you need to prove STU by S.. US. TU S. S. T 73. is the midpoint of, is the midpoint of by.. S. S. SS. SSS T U

10 74. by.. HL. H. LL. L 75. by what reason?. S. S. SS. SSS 76. GL bisects HK GH HK and HK KL GHJ LKJ by.. HL. H. LL. L 77. The vertices of XYZ are X(8,-), Y(6,-3), and Z(5,4). If ZW is a median, find the coordinates of point W.. (5.5,0.5). (6.5,.5). (7,-). (,) G H J K L 78. In, if F is an angle bisector, find x F x-7 x-3 x-3 (4x-4) x-7 (4x+0) (3x+8) 79. Find the largest angle in.... not enough information 5 7 6

11 80. Find the shortest side of the figure QU. Q Q QU. U U 8. In FG, m = 5x +, mf = 6x - 0, and mg = x + 0. hoose the list that shows the sides correctly ordered from longest to shortest.. G, F, GF. F, G, GF. G, FG, F. GF, G, F 8. etermine which set of numbers can be the lengths of the sides of a triangle.. 4, 0, 6. 4, 7,. 95, 0, , 4.8, 83. The lengths of two sides of a triangle are 8 and 5. The length of the third side is between:. 8 and 5. 9 and 4. 9 and. 7 and If M is the midpoint of JK, m>m, JL = 0x +, and LK = 6x + 4, write an inequality to describe the possible values of x?. x>3. x<3. x> J. x< M K L 85. Which is a possible value of x? (3x-8) 86. If =, m3 = 60, and m4 = 45, which are possible measures of and?. = 6, = 4. = 5, = 4. = 7, = 7. = 5, = 9 4 3

12 87. In PM,. mp > m. mp > mm. m > mp. mm > m P 0 7 M Identify the if-then form of the statement: ll cars have four wheels.. If a vehicle has four wheels, then it is a car.. If a vehicle is a car, then it has four wheels.. If a vehicle is not a car, then it does not have four wheels.. none of these 89. Identify the converse of: If two angles form a linear pair then they are supplementary.. If two angles don t form a linear pair then they are not supplementary.. If two angles are supplementary then they form a linear pair.. If two angles are not supplementary then they do not form a linear pair.. none of these 90. hoose the statement that follows from (i) and (ii) (i) If my oversleeps then she will miss the bus. (ii) If my misses the bus then she will be tardy.. If my is tardy then she overslept.. If my oversleeps then she will be tardy.. If my is tardy then she will get detention.. If my oversleeps then she stayed up too late. 9. Study the relationships given and write the missing statement. If you study for the final, then you will get a good grade. If you get a good grade, your semester average will go up. If you semester average raises, your parents will be happy. (missing sentence) If your parents buy you a car, you will have lots of friends.. If you study for the final then you will have lots of friends.. If your parents are happy then they will buy you a car.. If your parents buy you a car then your parents will be happy.. If your parents aren t happy then you won t get a car. 9. Identify the contrapositive of the statement: If today is Tuesday, then tomorrow is Wednesday.. If tomorrow is Wednesday, then today is Tuesday.. If tomorrow is not Wednesday, then today is not Tuesday.. If today is not Tuesday, then tomorrow is not Wednesday.. If today is Tuesday then yesterday was Monday.

13 93. When the following sentences are sequenced logically (without using contrapositives), which sentence comes second:. If you show a friend how to work the problems then your friend will know the material.. You will know how to work the problems when you do the homework.. Your friend s grade will improve because your friend knows the material.. Since you know how to work the problems, you can show your friend how to work the problems. etermine if the third statement follows from the first two. If it does, write valid and give the pattern of reasoning (original or contrapositive). If it does not, write invalid and name the error (converse or inverse error). 94. Tom would be a gardener if he had a green thumb. If Tom had a green thumb then he would raise tomatoes. Therefore, if Tom is a gardener, he would raise tomatoes.. valid, original. valid, contrapositive. invalid, converse error. invalid, inverse error 95. Sunny skies do not produce rain. If there is thunder then it is raining. Therefore, if the skies are sunny then there is not thunder.. valid, original. valid, contrapositive. invalid, converse error. invalid, inverse error 96. In the figure, = 4, = 6x 6, = 5x 3, and = 3x +. Which do you know is true? I. bisects II. bisects III. bisects. I only. II only. III only. I and II only. II and III only 97. The measure of the supplement of an angle is 4 less than 3 times the measure of the complement. Find the measure of the complement none of these 98. Find the values of x and y. (The figure is not drawn to scale.). x = 0, y = 34. x = 0, y = 5. x =, y = 8. x =, y = 7 (x+3) (y+9) (4x-3)

14 99. In the figure, bisects, bisects G, mf = 37, and mg = 44. Find mf. (The figure is not drawn to scale.) Which of the following statements is equivalent to the statement p implies q?. p if and only if q.. If p, then q.. q only if p.. p if q.. none of these 0. and are adjacent congruent angles, and m = 60. What are the two possible measures for?. 80, , , , , For which of the following statements are the statement, its contrapositive, its converse, and its inverse all true? I. If a >, then a > a. II. Vertical angles are congruent. III. If two lines form congruent adjacent angles, then the lines are perpendicular.. I only. II only. III only. I and III only. I, II, and III 03. Planes K and J are parallel. Line p lies in plane K and line q lies in plane J. Which of the following statements must be true?. p and q are always parallel.. p and q are sometimes parallel.. p and q are never parallel.. p and q are always coplanar. p and q sometimes intersect. F G 04. Find m if m = 48 and m = 46. (The figure is not drawn to scale.) cannot be determined from the information given. 05. Find m. (The figure is not drawn to scale.) (x+0) (3x-)

15 06. In the figure, m = mf=m. Which of the following pairs of lines must be parallel? F I. and II. and F III.. and F. I only. II only. III only. I and II only. I and III only 07. In, and are angle bisectors, and m? If m = 70, what is 08., =, and F = F =. What can you conclude? (Figure is not drawn to scale.) I. F II. F F III. F. I only. II only. III only. I, II, and III F 09. SR TV, TR UV, and TW bisects both SU and RTV. What can you conclude?. The SS Postulate can be used to prove that RST VTU.. The S Postulate can be used to prove that RST VTU.. The SSS Postulate can be used to prove that RST VTU.. There is not sufficient information to prove that RST VTU. S R T W V U 0. bisects,, and. The given information is sufficient to prove which of the following? I. II. bisects. III.. I only. II only. III only. I and II only. II and III only

16 . =,, and m = 56. Find m cannot be determined from the information given.. The ratio of the measures of two supplementary angles is 7:8. Which proportion(s) could you use to find the measures of the angles? x 7 I. II. x 8 y 8 y 7 x 7 x 8 III. IV. 80 x 8 80 x 7. I only. II only. I and II only. III and IV only. I, II, III, and IV 3. S and V are the midpoints of RT and RU, respectively. Which of the following is not true?. c b R f a. d b a e e a S V c f f. b d e d e. f c T c U a a b 4. Points,, and could be which of the following? I. collinear and coplanar II. collinear and noncoplanar III. Points in two intersecting or parallel lines. I only. II only. III only. I and II only. I and III only 5. plane is NOT formed from.. three noncollinear points. two skew lines. two intersecting lines. two parallel lines. a line and a point outside the line 6. SU bisects RST, UST and TSV are complementary. If mrst = 76, find mtsv S R V U T

17 7. Two angles form a linear pair. Which of the following NNOT be true?. One angle is obtuse and the other is acute.. The angles are adjacent but not complementary.. The angles are supplementary, and the nonadjacent rays are opposite rays.. The angles are congruent and are right angles.. oth angles are acute. 8. Which of the following properties is NOT true for the conditional If p, then q?. If a counterexample is drawn, the conditional is true.. The statements If q, then p is the converse of the conditional.. The conditional could be written p q.. The inverse of the given conditional is If not p, then not q.. The hypothesis for the conditional is p. 9. Which of the following is not necessarily true for the given diagram?. Line n is a transversal.. m5 + m6 = 80. and 5 are corresponding angles. l and m are parallel..,, 7, and 8 are exterior angles n l m 0. Two right triangles NNOT be proven congruent by showing the following parts equal.. pairs of corresponding legs. a pair of corresponding legs and the hypotenuses. a pair of corresponding acute angles and the hypotenuses. pairs of corresponding angles. a pair of corresponding legs and a pair of corresponding angles.. ssume that the conditional If Mandy waters her plants, then the plants will grow is true. Which of the following is not necessarily true? I. its converse II. its inverse III. its contrapositive. I only. II only. III only. I and II only. I and III only. Which of the following statements is not necessarily true?. The nonadjacent rays of two adjacent, complementary angles are perpendicular.. Two intersecting lines form either four congruent right angles or two congruent, acute angles and two congruent, obtuse angles.. Supplementary angles are linear pairs.. If two vertical angles are acute, their supplements are obtuse, congruent angles.. The last statement of a proof should be the statement of what you are trying to prove. 3. If, what conclusions can be reached in one or more steps? I. 3 is a right angle II. m = 90 III. m = m = m3 = m4 3 4

18 . I only. II only. III only. I and II only. I, II, and III 4. If,,, and have coordinates (4, 0), (6, ), (3, ), and (, ), respectively, which of the following are true? I. II. III. =. I only. II only. III only. I and II only. I, II, and III 5. Using the information from the diagram, if m = m6, what can we conclude? I. m = m3 = m = m6 n II. n p 3 III. l m p l. I only. II only. III only. I, II, and III. none of these m 6. The measure of an exterior angle of a regular polygon is. Find the sum of the measures of the interior angles of the polygon none of these 7. Which of the following statements is false?. n equiangular triangle is isosceles, equilateral, and acute.. n isosceles triangle could be scalene.. right triangle cannot be equilateral.. The hypotenuse of a right triangle must be longer than either leg.. regular triangle is equilateral. 8. Line l is contained in plane K and line m is contained in plane H. Which of the following is NOT possible?. The planes intersect and the lines intersect.. The planes are parallel and the lines are parallel.. The planes are perpendicular but the lines are not perpendicular.. The lines are coplanar and the planes are skew.. The planes intersect and the lines are skew. 9. If bisects and, then......

19 30. The altitude drawn to the base of an isosceles triangle forms two triangle. The triangles can be proven congruent by the method. I. hypotenuse-leg II. angle-side-angle III. angle-angle-side. I only. II only. III only. I and II only. I and III only 3. Identify the inverse of the statement: If a triangle is equilateral, then it is equiangular.. If a triangle is not equiangular, then it is not equilateral.. If a triangle is not equilateral, then it is not equiangular.. n equilateral triangle is equiangular.. n equiangular triangle is not equilateral. 3. The statement that is logically equivalent to a conditional statement is its. I. converse II. inverse III. contrapositive. I only. II only. III only. all. none 33. Given these two statements: ll minerals are nonliving. alcite is a mineral. Which of these is a valid conclusion?. alcite is nonliving.. Nonliving things are all minerals.. ll minerals are calcite.. Nonliving things are all calcite. 34. The hypothesis of the theorem Vertical angles are congruent is.. two angles are congruent. vertical angles are congruent. congruent angles are vertical angles. two angles are vertical angles R 35. If we can show, then RT VS. RVS TVS U V. RUS TUS. TUS RUV. RUS TUV T S