Math 310, Exam 1 Answers | Answer Key

University:
California State University, Northridge
Course:
MATH 310 | Basic Concepts of Geometry
Academic year:

2024
Views:

64

Pages:

6
Author:

Taliyah Fuller

Math 310 Spring 2009, Exam 1, Version B 1) (3 pts each) In each of the following, find the value of a. 100 - (90+50) 180 - 140 = a a = 40° verf. Ls vert. Le 50° b. a = 20 + 90 a : 110° exterior 4 c. a= 70° 180-70 2 base Lo of an ices. 4 a = 2 a = 55 2) (6 pts) Sketch a clock face showing 7:15 and calculate the smaller angle formed by the clock hands. (30 × 4) + 7.5 120 + 7.5 = 3 30 - 7.5 4 = 127.5 15 ) (8 pts) Give a Teacher's solution to find the missing angles in the figure below. HO 70 70° at 70° = 180 a = 110) 110+6=180 16 = 70 70+C = 180 C=110 10 c° 70 int L's of parallelogram int L's of parallelogram int L's of paralle logiam 110+ d = 180 L's on a line d = 701 d=e d = 70 base L's of iso A (e= 10) 47) a (2 pis) Use your ruler to draw a line segment that is 5 centimeters long, 70+ 701f = 180 140+ f = 180 [f = 40) Lsumof A b. (3 pts) Measure the line segment you drew in part (a) in inches. It is roughly. long. Therefore, 1 inch is approximately 2.5 centimeters long. 2 inches c. (8 pts) Arrange the following lengths in order, beginning with the shortest. C1 80 0m 2 1 6510 1 yd: 3f7 = 36 in 90cm, 80 cm, 60cm, 81.5 cm 2ftx 12in = 24in 36ікх 25cm = 90 cm 35 inx 2.5cm = 87.5 cm liys Tiv 24 in x 2.5 cm -: 60cm yd = 90 cm tin 2ft, B0cm, 35 in,, and lyd 21 60 cm, 80 cm, 87.5 cm, 90cm - 6) (3 pts each) Which of the following could be lengths of the sides of a triangle? In each case, explain your answer. a. 5 cm, 4 cm, 1 cm No. the 7th a prete the Ingest to form b. 6 cm, 8 cm, 4 cm yes 4 + 6 cm = 10 10 cn > 8 cm. could perfuty 7) (2 pts each) Fill in the blanks. a. Two angles are implementarg degrees. b. Two angles are degrees. complementary if the sum of their measures is 180 if the sum of their measures is 90 8) (3 pts each) Compiete the following definitions: a. braced is a quadrilateral in whieh one pair of sides is parallel. c. A rhombus is a parallel grun nith 4 equal sides. NOT a rectangle). Yes It has a pairs of A sides ' right Le! 10) (4 pts) Is every kite a parallelogram? If so, explain why. If not, draw a counterexample (i.e. draw a kite that is NOT a parallelogram). No • No 2 pairs pf l/ sides, as a pare Mela gran requirer. 11) (2 pts each) Complete the following. a. 288 in = 24 ft - 8 yd 191878 b. 1503m - 5,030 _cm c. 2213 mm= 2.213 _m d. 8723.1 L= 8,723,100 mL 12) (5 pts) Give a Teacher's Solution to the following. 2 L 500 ml. + 750 mL - 3. 25 L 1 L= 1000 ML 2L 500 ML 750 ML 2 L 0250 ML. 1000 Me = 1 L 3L 250 ML = 3.25 L to the is the "•y 211