Geometry Review 1. a. What is the median of the data displayed on the line plot? How many people participated in the contest?

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1 Name: ate: 1 The numbers below represent the ages of the first ten people in line at the movie theater. Which line plot correctly displays the data? 22, 30, 23, 22, 27, 27, 29, 23, 30, 22 2 There was a berry-picking contest at the Earth ay celebration this year. The line plot below shows the number of pints of berries collected by the people participating in the contest. a. What is the median of the data displayed on the line plot? b. How many people participated in the contest? 9 pints; 12 people 8 pints; 11 people 7 pints; 13 people 8 pints; 13 people opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 1 of 24

2 3 The graph below shows the market shares of various juice companies that sell orange juice. What values are represented by the break symbol? 0% to 5.9% 2% to 8% 5% to 9% 0% to 3% 4 The graphs below represent the average number of rentals each day of the year at Shadydeal Videos. Which statement is true? The vertical scale on the first graph is misleading because it starts at zero. The horizontal scales on both graphs are misleading because the odd-numbered years are not clearly labeled. The second graph exaggerates the change from year to year. none of these opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 2 of 24

3 5 The box-and-whisker plots show data for the test scores of four groups of students in the same class. Which plot represents data with the greatest range of scores? 6 Which box-and-whisker plot represents the data below? 21, 21, 22, 20, 13, 13, 27, 24 7 student is investigating the most popular restaurant in her town. She polls 25 customers at random at a pizza parlor about their favorite eating spot every day for a week. Is this a good sample? Explain. No; the sample is limited to those townspeople who like to eat at the pizza parlor. Yes; the student randomly surveys 25 townspeople. Yes; a random sample is polled every day for a week to account for the fact that people go out to eat on different days. No; a person might be polled more than once if he or she eats at the pizza parlor more than once during the week the survey is conducted. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 3 of 24

4 8 For the following survey, tell whether the survey plan describes good sampling techniques. Explain. n equal number of boys and girls are randomly surveyed to find out whether the students in a school would prefer carpet or hardwood floors in the new library. Good sampling; the survey is biased and teachers at the school is the best survey population to use. Poor sampling; the survey even though the survey is random, the survey must include students from other schools. Good sampling; the survey is random and students at the school is a good survey population to use. Poor sampling; the survey is not random even though the students at the school is a good survey population to use. 9 Which translation below is NOT described by the rule? (3, 2) (5, 5) ( 4, 1) ( 2, 2) (0, 4) (2, 1) (1, 5) (3, 2) 10 Which rule correctly describes the translation of a point from ( 4, 2) to ( 1, 1) in arrow notation? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 4 of 24

5 11 t the half-time show, a marching band marched in formation. The lead drummer started at a point with coordinates (3, 4) and moved 3 steps down and 4 steps left. a. Which rule describes the translation? b. What were the coordinates of the drummer s final position? 12 Translate P(1, 2) right 2 units and up 1 unit. Give the coordinate of the image point. (3, 1) ( 1, 3) ( 3, 1) ( 1, 3) opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 5 of 24

6 13 Which graph shows point (2, 1) and, its translation 2 units to the right and 4 units up? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 6 of 24

7 14 Which figure shows all the lines of symmetry? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 7 of 24

8 15 triangle has vertices (0, 2), (4, 3), and (2, 6). Which graph shows the triangle and its image after a reflection over the line through ( 3, 2) and ( 3, 2)? What are the coordinates of the vertices of the reflected triangle? ( 6, 2), ( 10, 3), ( 8, 6) ( 4, 2), ( 8, 3), ( 6, 6) ( 2, 0), ( 3, 4), ( 6, 2) opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 8 of 24

9 (0, 6), (4, 7), (2, 10) 16 oes the fractal below have reflectional symmetry? If so, how many lines of symmetry does it have? yes; one yes; six yes; three no opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 9 of 24

10 17 Which graph shows point (3, 4) and its image after a reflection over the y-axis? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 10 of 24

11 18 oes the figure have rotational symmetry? If so, what is the angle of rotation? yes; yes; yes; no rotational symmetry 19 oes the figure have rotational symmetry? If so, what is the angle of rotation? yes; yes; yes; no rotational symmetry opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 11 of 24

12 20 oes the figure have rotational symmetry? If so, what is the angle of rotation? yes; yes; yes; no rotational symmetry 21 oes the figure have rotational symmetry? If so, what is the angle of rotation? yes; yes; yes; no rotational symmetry 22 What are the coordinates of the point H( 1, 2) after a rotation of 180 about the origin? ( 2, 1) (2, 1) (1, 2) ( 1, 2) opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 12 of 24

13 23 The dashed figure is a dilation of the original figure. Find the scale factor. lassify the dilation as an enlargement or a reduction. 2, enlargement, reduction, reduction 3, enlargement 24 The width of a picture is 20 cm. Using a color copier, you reduce the width of the picture to 5 cm. What is the scale factor of the dilation? 5 4 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 13 of 24

14 25 Find the image of the triangle in the figure after a dilation with the given center and scale factor. center scale factor 26 Select the measure of the complement or supplement of the angle. If there is no complement or supplement, select no complement or supplement. 55.1º no complement or supplement opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 14 of 24

15 27 The measure of angle 4 is 125º. Find the measure of angle 1. 50º 130º 125º 55º 28 If a and b are parallel lines and the measure of angle 3 = 128º, what is the measure of angle 8? 134º 52º 54º 49º opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 15 of 24

16 29 In the diagram, p q. Find the measure of each numbered angle. m 1 = m 2 = m 5 = 135º m 3 = m 4 = m 6 = m 7 = 35º m 1 = m 2 = m 5 = 35º m 3 = m 4 = m 6 = m 7 = 145º m 1 = m 2 = m 5 = 145º m 3 = m 4 = m 6 = m 7 =35º m 1 = m 2 = m 5 = 145º m 3 = m 4 = m 6 = m 7 = 30º 30 How many pairs of corresponding angles are formed by a transversal intersecting parallel two lines? Is line l parallel to line m? Explain. Not drawn to scale No; alternate interior angles are not congruent. Yes; alternate interior angles are congruent. No; corresponding angles are not congruent. Yes; corresponding angles are congruent. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 16 of 24

17 32 In the figure, the following is true. Select the correct congruence statement for the two triangles. What rule proves the congruence? QPR RTS; S QPR STR; S QPR STR; SS QPR RTS; SSS 33 surveyor measured the indicated angles at this native-plant preservation area. He concludes that the fences on the right and left sides of the land have the same length. What rule tells you that the triangles are congruent? SSS S SS SS opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 17 of 24

18 34 QR is congruent to SR and PR is congruent to TR. Select the correct congruence statement for the two triangles. What rule proves the congruence? QPR RTS; SS QPR STR; SS QPR STR; S QPR RTS; SSS 35 The triangles are congruent. Find and. If necessary, round your answer to the nearest tenth. 6; 14 14; 15 15; 6 15; 14 Not drawn to scale opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 18 of 24

19 36 The triangles are congruent. Find EF and angle. If necessary, round your answer to the nearest tenth. 10; 37 17; 53 10; 53 14; 37 Not drawn to scale 37 lassify the triangle with angles measuring 69º, 42º, and 69º. right equilateral isosceles acute isosceles obtuse opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 19 of 24

20 38 etermine the best name for the quadrilateral. parallelogram rhombus trapezoid square 39 Find the missing angle measure in the figure opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 20 of 24

21 40 Find the sum of the measures of the interior angles of a octagon. 1,260 1,080 1, Find the measure of angle z Which angle or angles are complementary to angle O? O and OE O and OF O and OF OE and FO opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 21 of 24

22 43 Use the figure. Identify a segment skew to the following. 44 Use the points in the diagram to name the figure. 45 Use the figure. Identify a segment parallel to the following. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 22 of 24

23 46 The radius of a circular hat is 3.7 inches. Find the circumference in in in in. 47 Estimate the area of the circle. Round your answer to the nearest hundredth if necessary m m m m 2 48 number cube is rolled 37 times and the results are recorded as follows: 2 ones, 6 twos, 7 threes, 8 fours, 9 fives, and 5 sixes. What is the experimental probability of rolling a number less than 4? hoose the correct answer expressed as a fraction in simplest form. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 23 of 24

24 49 spinner is divided into six sections numbered from 1 to 8. You spin the pointer of the spinner 49 times. The results are as follows: Number Number of Times Spinner Landed on Number ased on the results, find the experimental probability of the pointer landing on 4. Express the answer as a fraction in simplest form, a decimal, and a percent. Where necessary, round to the nearest hundredth., 0.125, 12.5%, 0.163, 16.3%, 0.4, 40%, 0.5, 50% 50 You select 29 marbles from a bag. The results are as follows: 5 blue marbles, 6 green marbles, 7 red marbles, 8 white marbles, and 3 yellow marbles. You place all the marbles back in the bag and then select one. ased on your previous results, find P(not blue). opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 24 of 24