Chapter 1 SOL Review. Directions: Write your answer to each question on the blank. Must show work for full credit. (2 points each)

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1 hapter 1 SOL Review /18 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. Given: S(-1, 8) and T(7, -9). What is the length of SSSS?. 23 B Which point is the greatest distance from the origin?. (-8, -5) B. (-9, 1). (3, 4). (9, 2) 3. The coordinates of the midpoint of are (-2, 1), and the coordinates of are (2, 3). What are the coordinates of B?. (0, 2) B. (-1, 2). (-3, 4). (-6, -1) 4. Parallelogram B is positioned on a coordinate plane with the coordinates as shown. N is the midpoint of BBBB. What are the coordinates of N?. (2, 3) B. (3.5, 2). (2.5, 6). (6, 2.5)

2 5. If the coordinates of are (1, 1) and the midpoint of B is (-2, 0), then the coordinates of B are-. (-0.5, 0.5) B. (0.5, 0.5). (-1, 0). (-5, -1) B 6. What are the apparent coordinates of the midpoint of diagonal in the figure below?. ( 1 2, 1) Refer to diagram below for #6 & #7 B. ( 1 2, 1). (1, 1 2 ). (1, 1) B 7. What is the approximate length of diagonal in the figure?. 3.0 units B. 5.4 units. 9.0 units units 8. The coordinates of the midpoint of are.... (5, 3) B. (-5, 3). (2, 5). (-2, 5) B 9. The distance between the points (-2, -4) and (3, 8) is B

3 hapter 2 SOL Review /26 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. Let p represent: Two angles are vertical angles. Let q represent: The angles are congruent. What is the symbolic representation of the following statement?: If two angles are congruent, then the angles are vertical angles.. q p B. p q. ~q ~p. ~p ~q 2. This Venn diagram represents students who play instruments in the orchestra. Shade each region of the Venn diagram that represents students who play only the flute and the oboe. 3. Which is a valid conclusion that can be drawn from these statements? If a quadrilateral is a rhombus, then it is a parallelogram. If a quadrilateral is a parallelogram, then its opposite angles are congruent.. Every quadrilateral is a rhombus. B. Every parallelogram is a rhombus.. Opposite angles of a rhombus are congruent.. Opposite angles of a quadrilateral are congruent. 4. Which is the inverse of the following statement: If the measure of an angle is 90, then it is a right angle.. If the measure of an angle is not 90, then it is not a right angle. B. If the measure of an angle is not 90, then it is a right angle.. If an angle is not a right angle, then its measure is not 90.. If an angle is a right angle, then its measure is Which conclusion logically follows the true statements? If negotiations fail, the baseball strike will not end. If the baseball strike does not end, the World Series will not be played.. If the baseball strike ends, the World Series will be played. B. If negotiations do not fail, the baseball strike will not end.. If negotiations fail, the World Series will not be played.. If negotiations fail, the World Series will be played. B 6. Let a represent x is an odd number. Let b represent x is a multiple of 3. When x is 7, which is true?. a ^ b B. a ^ ~b. a ^ b. ~a ^ ~b

4 7. Which is the contrapositive of the statement, If I am in Richmond, then I am in Virginia?. If I am in Virginia, then I am in Richmond. B. If I am not in Richmond, then I am not in Virginia.. If I am not in Virginia, then I am not in Richmond.. If I am not in Virginia, then I am in Richmond. 8. ccording to the Venn diagram, which is true?. ll football players play offense or defense. B. No football players play offense and defense.. ll football players play defense.. Some football players play offense and defense. 9. ssuming these statements are true which of the following is a valid conclusion? Some musicians are happy people. ll happy people like music.. ll happy people are musicians. B. ll musicians like music.. Some happy people do not like music.. Some musicians like music. B 10. Based strictly on this diagram, which is a valid conclusion?. No cat owners also own dogs. B. No dog owners also own fish.. No fish owners also own cats.. No pet owner owns more than one pet. 11. Let p represent 11 = zz, and let q represent z is a rational number. Which is a representation of the statement? IIII 11 = zz, ttheeee zz iiii nnnnnn aa rrrrrrrrrrrrrrrr nnnnnnnnnnnn. ". ~pp ~qq B. pp qq. pp ~qq. ~qq ~pp 12. onsider the following statements: p: The sum of two angles is 90. q: The two angles are complements. Which of the following is a symbolic representation of the statement: If two angles are not complements, then the sum of the two angles is not 90?. ~qq ~pp B. ~pp ~qq. qq pp. pp qq 13. Statement: If lines are skew, then they are not coplanar. What is the contrapositive of the statement?. If lines are not coplanar, then they are skew. B. If lines are not skew, then they are coplanar.. If lines are coplanar, then they are not skew.. If lines are skew, then they are coplanar.

5 hapter 3 SOL Review /22 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. Parallel lines a and b are intersected by line c. Which pair of angles is NOT supplementary?. <1 and <6 B. <3 and <8. <2 and <7. <4 and <6 B 2. Which diagram shows a pair of angle measures that prove lines a and b are parallel? 3. This figure shows parallel stair railings through points M, N, P, and Q. What is the value of x?. 29 B Lines r and s are cut by a transversal. What value of x proves that r s? x = 5. The figure represents a ramp with handrails. Segments B and E are parallel to GGGG. Segments B and EF are parallel to. HHHH Segments G and BH are parallel to. If m<jb = 115, what is m<b?. 65 B

6 6. Given: P(5, 7) and T(-3, 3). What is the slope of PPPP.. -2 B. -1/2. ½ Which of the following points must lie on line m in order for lines l and m to be parallel?. (0, -2) B. (0, -1). (1, -1). (4, -1) B 8. The measure of <YZV is 40 and the measure of <XYZ is 65. Which of these angles must measure 40 in order for VVVV to be parallel to YYYY?. <YVZ B. <ZVR. <ZYV. <VRX 9. construction engineer needs to make sure a ceiling beam is parallel to its corresponding floor beam. Using the drawing as a guide, which pair of measurements is sufficient to show the beams are parallel?. x = z B. y = w. x = y. y = z 10. If < 3 < YY, which of the following must be true?. < WW < YY B. WWWW is perpendicular to XXXX. < WW < 2. Line l is parallel to YYYY B 11. In the figure shown, line q is a transversal of parallel lines l, m, n, and p. What are the values of x and y?. x = 30, y = 30 B. x = 30, y = 150. x = 150, y = 30. x = 150, y = 150

7 hapter 4 SOL Review /16 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. Given the measures shown in the diagram, which two triangles are congruent?. Q and S B. R and T. R and S. Q and T 2. Given: Figure B with diagonal... omplete the proof of Δ Δ by selecting the reasons for the last two statements. 3. Using the information given, which congruence postulate or theorem can be used to prove that: PPPPPP TTTTTT. Side-Side-Side Postulate B. Side-ngle-Side Postulate. Hypotenuse-Leg Theorem. ngle-ngle-side Theorem 4. Given: In this figure, and B bisect each other. Which triangle congruence theorem could be used to prove E EB? ngle-ngle-side (S) Side-ngle-Side (SS) B ngle-side-ngle (S) Side-Side-Side (SSS)

8 5. Given: BBBB, BBBB. Which could be used to prove?. SSS B. SS. S. S B 6. Given: and BBBB bisect each other at. Which could be used to prove EEEEEE?. SSS B. SS. S. S B 7. Given:,. Which could be used to prove?. SSS B. SS. S. S 8. oordinates (2, 5), B(6, 4), and (6, 0) are connected to form B. If is congruent to B, what are the coordinates of? (1, 1) B (1, 2) (2,2) (2, 1)

9 hapter 5 SOL Review / 16 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. The lengths of two sides of a triangle are 24 inches and 43 inches. What is the range of possible lengths, in inches, for the third side, x, of this triangle? 2. Part of a marching band formed a triangle made with the trumpet players on one side, clarinet players on one side, and flute players on the third side. The angle formed by the trumpet and flute players measured 45. The angle formed by the flute and clarinet players measured 50. Which orders the sides of this triangle from least to greatest using the instrument names?. larinet, trumpet, flute B. larinet, flute, trumpet. Trumpet, flute, clarinet. Flute, trumpet, clarinet 3. Which could be the lengths of three sides of a triangle?. 6 cm, 14 cm, 8 cm B. 9 cm, 11 cm, 21 cm. 8.5 cm, 17 cm, 10.6 cm. 14 cm, 4.7 cm, 4.7 cm 4. Two sides of a triangle measure 14 inches and 8 inches. Which cannot be the length of the remaining side?. 6 in B. 8 in. 14 in. 21 in 5. On a map, Tannersville, hadwick, and Barkersville form a triangle. hadwick is 70 miles from Tannersville and Barkersville is 90 miles from Tannersville. Which is a possible distance between hadwick and Barkersville?. 5 miles B. 10 miles. 150 miles. 200 miles

10 B 6. Which lists the distances between towns in order from greatest to least?. fton to Badenton, Badenton to apeton, fton to apeton B. fton to Badenton, fton to apeton, Badenton to apeton. fton to apeton, fton to Badenton, Badenton to apeton. Badenton to apeton, fton to Badenton, fton to apeton 7. On the shores of a river, surveyors marked locations, B, and. The measure of B = 70 and the measure of B = 65. Which lists the distances between these locations in order from least to greatest?. to B, B to, to B. B to, to B, to. B to, to, to B. to, to B, B to 8. The locations of three water pumping stations form a triangle on a map of the area. The distance from station to station B is 650 meters. The distance from station B to station is 558 meters. The distance from station to station is:. Less than 92 m B. Exactly 92 m. Between 92 m and 1,208 m. Greater than 1,208 m

11 hapter 6 SOL Review /14 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. Which triangle is similar to the given triangle B? 2. man who is 6 feet tall casts a shadow that is 4 feet long. t the same time, a nearby flagpole casts a shadow that is 18 feet long. How tall is the flagpole?. 10 ft B. 12 ft. 22 ft. 27 ft 3. Maria places a mirror flat on the ground 25 feet from the base. fter backing 3.25 feet, she can just see the top of the tree in the mirror. Maria knows that her eyes are exactly 5 feet above ground level and that the angle between her eyes, the mirror, and the ground is the same as the angle between the tree top, the mirror, and the ground. Which is closest to the height of the tree?. 24 ft B. 28 ft 4 in.. 38 ft 6 in.. 40 ft

12 4. Given: Q lies on PPPP and S lies on RRRR. Which condition proves PPPPPP ~ QQQQQQ?. < PPPPPP < TTTTTT B. < PPPPPP < TTTTTT. QQQQ = QQQQ PPPP SSSS. QQQQ PPPP = SSSS TTTT 5. The distance across a river was estimated by making the measurements shown. Which is a good estimate of the distance d?. 20 ft B. 30 ft. 40 ft. 50 ft 6. Which proportion can be used to find the value of PPPP if XXXXXX is similar to PPPPPP?. 20 = PPPP B. 10 = 7 5 PPPP. 14 = PPPP. 15 = PPPP 7. When standing upright, Gary knows his eyes are 6 feet above ground level. To determine the depth of a well, he stands in the position shown. Using the given measures, how deep is the well?. 12 ft B. 14 ft. 16 ft. 18 ft

13 hapter 7 SOL Review / 18 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. Reuben attached a wire between two poles on a hill as shown. Which is closest to x, the distance between the two poles?. 27 ft. B. 29 ft.. 60 ft.. 75 ft. 2. Which of the following sets of lengths can represent the measures of the sides of a right triangle?. 4, 5, 6 B. 5, 12, 15. 8, 10, , 21, n equilateral triangle is folded in half. What is x, the height of the equilateral triangle? cccc B. 14 cccc. 7 3 cccc. 7 cccc 4. spectator is viewing the cars of a roller coaster as it travels down a hill at an amusement park. Which is closest to the total length of the cars? ft. B ft ft ft. B 5. B is a right triangle with the measures shown. What is the length of BBBB?. 18 in. B. 24 in.. 32 in in.

14 6. n airplane is 34 ground miles from the end of the runway (G) and 6 miles high (PG) when it begins its approach to the airport. To the nearest mile, what is the distance (P) from the airplane to the end of the runway?. 41 mi B. 39 mi. 37 mi. 35 mi 7. In the figure, is a right triangle. is perpendicular to B, and the measure of B = 2 meters and = 8 meters. What is the measure of?. 2.8 m B. 4.5 m. 8.9 m m foot ladder leaning against a building makes an angle of 60 with the ground. How far from the base of the building is the foot of the ladder?. 5 ft. B. 8.2 ft.. 10 ft ft. 9. TRG is a right triangle. Which is closest to the length of RT?. 5 B

15 hapter 8 SOL Review /28 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 9 1. Given: Parallelogram QRST where QR = 6x 5 and RS = 4x What value of x proves this parallelogram is a rhombus? 2. regular quadrilateral has what type of symmetry?. Line symmetry only B. Point symmetry only. Both point and line symmetry. Neither point nor line symmetry B B 3. The floor plan for a home is modeled by the composite of the regular nonagon & triangle shown. What is the measure of <JKL?. 150 B Parallelogram B is a rhombus with m<eb = 36. What is the m<e?. 36 B polygon is shown. What is the measure of <U?. 60 B This figure is composed of an isosceles trapezoid and a regular octagon. What is the value of x?. 100 B Quadrilateral B is a parallelogram. The measure of < is B

16 B 8. The lengths of 2 consecutive sides of the parallelogram shown are 10 inches and 15 inches. The 2 sides include an angle of 60. To the nearest tenth of a square inch, what is the area of the parallelogram? sq in. B sq in sq in sq in. 9. If B is a parallelogram, what are the coordinates of B?. (3, 7) B. (5, 5). (7, 8). (7, 3) 10. Which of the quadrilaterals could have diagonals that are congruent but do not bisect each other?. rhombus B. rectangle. parallelogram. trapezoid 11. In parallelogram B, what is m<b?. 70 B B 12. Given quadrilateral KLMN, what is the value of x?. 35 B In rhombus B, = 30 inches and B = 40 inches. What is the perimeter of the rhombus?. 25 in. B. 50 in in in. 14. Which figure has all sides of equal measure but not necessarily all angles of equal measure?. Square B. Rectangle. Rhombus. Trapezoid

17 hapter 9 SOL Review /10 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. If Quadrilateral TUVW is reflected across the x-axis, what are the coordinates of W?. (-4, -2) B. (-4, 2). (2, -4). (4, -2) 2. For which polygon are both x = -1 and y = -2 lines of symmetry?

18 B 3. Which line of reflection maps point K at (-2, 2) to point K (2, -2)?. y = 2 B. y = x. x-axis. y-axis 4. Which transformation could move the triangle P to triangle P in a single step?. Reflection over x = 4 B. Rotation about (2, 3). Reflection over y = 4. Translation 5. Figure STRFIN is symmetric with respect to the x-axis. The coordinates of point are (7, 4). What are the coordinates of point N?. (7, -4) B. (4, -7). (-4, 7). (-7, 4)

19 hapter 10 SOL Review / 26 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. Given: ircle P with center at (-4, 1). Which equation could represent circle P?. (xx 4) 2 + (yy 1) 2 = 41 B. (xx 4) 2 + (yy + 1) 2 = 41. (xx + 4) 2 + (yy 1) 2 = 41. (xx + 4) 2 + (yy + 1) 2 = Given: ircle J. What is the value of y?. 38 B B 3. Which is closest to the area of the shaded sector of circle P?. 11 cm 2 B. 28 cm cm cm 2 B 4. hords and intersect at R. Using the diagram, what is the measure of RRRR?. 6 B When inscribed in a certain circle, intercepts arcs as shown. What is the measure of <B?. 90 B

20 B 7. TTTT is a diameter of circle X, and TTTT is parallel to UUUU. If the measure of TTTT is 25, what is the degree measure of UUUU?. 115 B is circumscribed about circle O. P and Q are points of tangency such that BP = 3 and Q = 5. What is the measure of BBBB?. 3 B Secants PPPP and PPPP intersect the circle at and, respectively. What is the length of PPPP?. 3 B circle whose center is at (1,- 3) passes through (7, 5). What is the length of the radius of the circle?. 10 B What is m<r in ircle?. 17 B The figure shows a circle. m<rpq = 50 and m<prq = 60. What is the measure of PPPP?. 70 B BBBB is tangent to the circle at B and the measure of is 108. What is the measure of <B?. 118 B

21 onstructions SOL Review /12 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each)? 1. Beth is drawing the perpendicular bisector of SSSS. Which point is on the perpendicular bisector of? SSSS. W B. X. Y. Z 2. What type of construction is illustrated in the figure?. The bisection of < B. The bisection of BBBB. n angle congruent to <. line segment congruent to? 3. n angle congruent to angle is being constructed. Which ray could be drawn to construct an angle congruent to <?. BBBB B. BBBB. BBBB. BBBB

22 4. Which best describes the construction in the diagram shown?. The bisector of a line segment. B. line segment congruent to a given line segment.. perpendicular to a given line at a point on the line. perpendicular to a given line from a point not on the line. 5. The arcs for a compass and straightedge construction are shown below. Which construction is apparently being made?. Two lines parallel to B. Two congruent angles. segment congruent to MN. The perpendicular bisector of MN 6. mber constructed as shown. Which of the following statements must be true?. B = B B. B = 2B. m<b = m<b. m<b = 2m<B

23 Surface rea SOL Review /18 Name: irections: Write your answer to each question on the blank. Must show work for full credit. (2 points each) 1. This container is composed of a right circular cylinder and a right circular cone. Which is closest to the surface area of the container?. 490 ft 2 B. 754 ft 2. 1,243 ft 2. 1,696 ft 2 2. cell phone box in the shape of a rectangular prism is shown. The height of the box is 4 cm. The height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included. Which is closest to the total surface area of the new box cm 2 B. 707 cm cm cm 2 B 3. The volume of a cube is 64 cubic centimeters. What is the surface area of the cube?. 16 cm 2 B. 96 cm cm cm 2 4. The ratio of the lengths of the radii of two spheres is 3:5. What is the ratio of the volumes of these two spheres?

24 5. rectangular pyramid is shown. What is the volume of the pyramid?. 864 cm 3 B. 432 cm cm cm 3 6. company is creating a new cylindrical container to replace its original cylindrical container. The new container will have 4 times the volume of the original container. The height of the new container will remain the same as the height of the original container. The length of the radius of the new container will be times the length of the radius of the original container. B. 4 times the length of the radius of the original container.. 8 times the length of the radius of the original container.. 16 times the length of the radius of the original container. B 7. fish tank in the shape of a rectangular prism has these dimensions: width = 10 inches length = 20 inches height = 12 inches What is the volume of water in the tank when it is 4/5 full?. 1,120 cu in. B. 1,920 cu in.. 2,400 cu in.. 3,000 cu in. 8. If a cube with side length 6 inches has its dimensions divided in half, what will be the volume of the new cube?. 108 cubic inches B. 54 cubic inches. 27 cubic inches. 9 cubic inches 9. cone has a slant height of 10 centimeters and a lateral area of 60π square centimeters. What is the volume of a sphere with a radius equal to that of the cone?. 102π cm 3 B. 144π cm π cm 3. 1,333π cm 3