Benchmark Test If you rotated AB 90 degrees around Point A the same way the hands of a clock move, what would be the coordinates of Point A?

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1 enchmark Test 5 Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 1. escribe a single transformation that is a composition of the following pair of transformations: translation (x, y) (x - 5, y - 3) followed by a translation (x, y) (x -, y - ). translation (x, y) (x - 1, y - 5) translation (x, y) (x - 9, y - 5) translation (x, y) (x - 9, y - 1) translation (x, y) (x - 1, y - 1). Reflect the figure below across the y-axis. What are the new coordinates of Point? (, 1) (, -) (-, -) (-, ) (, ) O (, ) y (, ) x (, 1) 3. If you rotated 90 degrees around Point the same way the hands of a clock move, what would be the coordinates of Point? (-1, 0) (0, 0) (0, -1) (, -1). Which type of symmetry does the pear below have? (0, 0) O y (, 3) rotational symmetry reflectional symmetry both neither x enchmark Test 5 eometry 31

2 5. Which type of symmetry does the tennis racket have? 8. N-scale model trains have a scale factor 1 : 160. n N-scale model engine measures 3.75 in. What is the length of the actual engine? in. 60 in. ft in. rotational symmetry reflectional symmetry both neither 6. Which type of symmetry does the coffee mug below have? rotational symmetry reflectional symmetry both neither 7. dilation has center (0, 0). What is the image of (-, ) for scale factor 1.5? (3, 6) (-3, 6) (-0.05, 5.5) (- 3, 8 3) 9. P Q R S is a dilation of PQRS. escribe the dilation. enlargement; center P; scale factor enlargement; center O; scale factor P P' Q Q' reduction; center P; scale factor 1 reduction; center O; scale factor ind the glide reflection image of P(, 1) for the translation (x, y) (x -, y ) and reflection across x 0. P (-, 3) P (-6, 3) P (, -3) P (0, 3) O R' S' R S Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 3 eometry enchmark Test 5

3 11. Identify the mapping of UVW to U V W. V y V' U W W' U' x 1. Which of the following regular polygons can tessellate? heptagon nonagon hexagon decagon Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. glide reflection; (x, y) (x, y); x 0 translation; (x, y) (x, y) reflection; x 1 rotation; center (1, 1); & of rotation Which of the following mappings of is not the result of just a single rotation? 13. Which of the following polygons will not tessellate? triangle octagon parallelogram hexagon 15. oey is planning to tile his bathroom floor. If he wants to construct a repeating pattern that will cover the floor without gaps or overlaps, which tile shape will always work? triangle hexagon pentagon heptagon 16. rkansas is approximately the shape of a trapezoid with bases of 50 miles and 190 miles and a height of miles. What is the approximate area of rkansas? 6,60 square miles 53,0 square miles 106,05 square miles 5,77,500 square miles enchmark Test 5 eometry 33

4 17. What is the area of the kite shown below? 19. What is the area of the regular pentagon? square units square units 30 square units 36 square units 18. The apothem of a regular hexagon is 5"3. ind the area of the hexagon. 5"3 75"3 150" "3 10 in. about 35 in. about 180 in. about 17.5 in. about 90.5 in. 0. What is the perimeter of the regular octagon? 8 cm about 18 cm about 39 cm about 9 cm about 118 cm Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 3 eometry enchmark Test 5

5 Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 1. What is the area of the regular dodecagon? about 53.9 ft about ft about 139. ft about ft. The area of two similar pentagons are 8 in. and 75 in. What is the ratio of their sides? 16 : 5 1 : 3 : 5 8 : Two equilateral triangles have sides of lengths 7 cm and 11 cm. What is the ratio of their perimeters? ft. The package of a model car states that the ratio of the length of the model to the length of a real car is 1 : 5. What is the ratio of the amount of paint required to cover the model to the amount required to cover the real car? 1 : 5 1 : 50 1 : 65 1 : 15,65 5. ind the area of sector TOP. Round your answer to the nearest tenth in in. 9.9 in in. 6. The radius of a circle is 63 cm. What is the length of an arc of 10? 36.75p cm p cm 73.5p cm p cm O 1 in. T P 81 enchmark Test 5 eometry 35

6 7. The percent of each type of book sold yesterday is shown in the table. If this information were organized in a circle graph, what would be the measure of the central angle for romance? ssume that a dart you throw hits the dartboard shown and is equally likely to hit any spot on the board. ind the probability of hitting the shaded region. 10.7% 1.5%.9% 78.5% ooks Sold Yesterday ook Type % of ooks Mystery 19 Romance 10 Science iction 16 Nonfiction 13 iction 9. square dart board at a carnival has a target that is shaped like a regular hexagon. Since few players were winning, the size of the target was increased as shown. What is the probability that a dart that hits the new board lands on the target? Old oard 8 in. in. 30% 3% 5% 65% 30. our circles, each of radius 7 inches, are packed in a square as shown. If you throw a dart and hit the square target, what is the probability that your dart will land inside one of the circles? Express your answer as a percent to the nearest tenth. 67.5% 78.5% 75.0% 50.0% New oard 1 in. in. Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 36 eometry enchmark Test 5

7 Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 31. ind the number of faces in a polyhedron made up of 9 edges and 5 vertices using Euler s formula Use Euler s formula to find the number of edges in the polyhedron made up of 5 faces: triangles and 3 rectangles ind the number of vertices in the polyhedron made up of 1 faces: decagons and 10 rectangles Suppose you are building a storage box with a volume of 368 cubic inches. The box will be inches long. The height of the box will be 1 inch more than its width. ind the width of the box in inches. 1 inches 13 inches 1 inches 15 inches 35. The surface area of a cone is 600p square inches. If the lateral area of the cone is 375p square inches, what is the radius of the base? 15 inches 15p inches 5 inches 5p inches 36. Rhonda is blowing up a balloon. The radius r, in centimeters, of the balloon is given by r 5!5t 3, where t is the time in seconds since she began. ind the volume of the balloon after 0 seconds p p enchmark Test 5 eometry 37

8 37. given tangent to a sphere intersects how many great circles of the sphere? 0 1 infinitely many 38. ason bought a bowling ball that had a diameter of about 8.75 in. What is the surface area of the bowling ball rounded to the nearest tenth of a square inch? 806. in in in. 0.5 in. 39. Points and are on sphere O. What is the best description of a segment with endpoints at and and that passes through the center of the sphere? chord secant diameter tangent Pearson Education, Inc., publishing as Pearson Prentice all. ll rights reserved. 38 eometry enchmark Test 5