Geometry. Practice End-of-Course Exam #3. Name Teacher. Per

Transcription

1 Geometry Practice End-of-Course Exam #3 Name Teacher Per

2 1 Look at the pair of triangles. A B C D Which statement is true? Ο A. The triangles are congruent. Ο B. The triangles are similar but not congruent. Ο C. The triangles are not similar or congruent. Ο D. There is not enough information to determine similarity or congruence. 2 Joanna s teacher said The diagonals of a square bisect each other. Joanna drew this figure and said The diagonals of this figure bisect each other, so it must be a square. Joanna made an error in her mathematical argument. What is the error? Ο A. There is no error. The figure Joanna drew is a square. Ο B. In the figure Joanna drew, the diagonals do not bisect each other. Ο C. Joanna used the converse of the teacher s statement and the converse is false. Ο D. The teacher s statement is false. The diagonals of a square do not bisect each other.

3 3 Look at the figure. G 10 E 8 F 18 D 12 H What additional information do you need to show the triangles below are similar using the Side-Angle-Side Similarity Theorem? Ο A. FH = 12 Ο B. E H Ο C. GH = 15 Ο D. D G 4 Michael is 5 1 feet tall. Michael measures his shadow as 8 feet long. A tree in his 2 backyard has a shadow that is 25 yards long. How tall is the tree? 5 ½ ft 8 ft 25 yd Ο A yards Ο B feet Ο C feet Ο D yards

4 5 Look at the triangles x Write a proportion that could be used to solve for x. Determine the value of x. Show work to support your answer. What is the value of x?

5 6 Jessie is working on the roof of her house. She has measured the angle of the roof and the length of the roof. Determine the width of the house, w. 15 ft. 15 ft. 35 w Ο A ft. Ο B ft. Ο C ft. Ο D ft. 7 Find sin C as a decimal rounded to the nearest hundredth. C A 14.7 B Ο A Ο B Ο C Ο D. 0.87

6 8 To the nearest degree, what is m G? E 12.1 F 7.8 G Ο A. 2 Ο B. 57 Ο C. 50 Ο D Look at the triangle. T S R Determine SR. Show work to support your answer. Round to the nearest tenth. What is the length of SR? Determine ST. Show work to support your answer. Round to the nearest tenth. What is the length of ST?

7 10 ΔRST has vertices R(3, 3), S(6, 2), and T(0, 2). Classify ΔRST based on its sides. Ο A. isosceles Ο B. scalene Ο C. equilateral Ο D. right 11 The ratio of a pair of corresponding sides in two similar triangles is 5:3. The area of the smaller triangle is 108 in 2. What is the area of the larger triangle? Ο A. 300 in 2 Ο B. 180 in 2 Ο C in 2 Ο D in 2 12 Which could be the coordinates of the fourth vertex of parallelogram ABCD with A(-1, -1), B(1, 3), and C(6, 1)? Ο A. D(8, 5) Ο B. D(13, 3) Ο C. D(4, -3) Ο D. D(3, 7)

8 13 The U.S. Census Bureau reported a national population of 299,894,924 on its Population Clock in mid-october of One can say that the U.S. population is 3 hundred million ( ) and be precise to one digit. Although the population had surpassed 3 hundred million by the end of the month, explain why remained precise to one digit. Assume the population has continued to increase. Determine the minimum value the population must reach such that is no longer precise to one digit. Support your answer. What value must the population reach? 14 Martina has a calculator box that has a volume of 29 cubic inches. 1 inch = 2.54 centimeters Determine the volume of the calculator box to the nearest cubic centimeter. Write your answer on the line. What is the volume of the calculator box to the nearest cubic centimeter?

9 15 Determine how many miles a person will run during a 5-kilometer race. 1 km 0.62 mi Write your answer on the line. How many miles will a person run during a 5-kilometer race? _ 16 If you are going 50 miles per hour, determine how many feet per second you are traveling feet = 1 mile Write your answer on the line. How many feet per second are you traveling? _ 17 Look at the given information for quadrilateral ABCD. AB CD AC BD AD is not parallel to BC Draw and label a shape that satisfies all of the given information. Determine the most specific name for the shape. What is the most specific name for quadrilateral ABCD?

10 18 Steven built a box for his vegetable garden in the shape of a rectangular prism. The volume of the vegetable garden was 24 cubic feet. He built another garden box that was two times longer and two times higher. He thinks the volume will be twice as much. Explain why Steven is not correct. If Steven wants his second garden box to have twice the volume, what should he do instead?