Answers Measuring Angles & Coordinate Graphing. 1. What coordinate pair best represents point G on the coordinate grid below?

Transcription

1 Name Measuring Angles & Coordinate Graphing 1. What coordinate pair best represents point G on the coordinate grid below? y 5 E 4 G Answers F x A ( 4, 3 ) B ( 3, 4 ) C ( 4, 3 ) D ( 4, 4 ) 2. What coordinate pair best represents point V on the coordinate grid below? A (0.6, 1.2) B (0.8, 0.9) C (1.3, 0.6) D (1.2, 0.6)

2 3. Which coordinate pair listed below is located inside the circle but outside the triangle? A (6, 14) B (13, 8) C (15, 9) D (17, 10) 4. What coordinate pair best represents point S on the coordinate grid below? A (1, 1 ) B (1, 1 ) C (1, 1 ) D (1, 1 )

3 5. What is the measure of LPK to the nearest degree? A 46 B 89 C 91 D In triangle WXY shown below, m Y = 50. Find the measure of W to the nearest degree. A 70 B 60 C 80 D 100

4 7. What is the measure of YXR to the nearest degree? A 45 B 145 C 55 D Which angle has a measure that is half the measure of TZU? A UZV B VZY C VZT D SZY

5 Measuring Angles and Coordinate Graphing 6.7A and 6.8C Materials A little record sheet for each person One set of problem cards shuffled per group (2-4 people) Directions Player 1 flips over a question and places the question in the center of the group. Each player answers the question independently on his/her little record sheet. Once everyone has completed the question, the group compares answers. If there is a discrepancy in the answers the teacher can provide students with an answer key. However the answer key should only be viewed once all players have completed the question. If a player gets the question correct, he/she circles the letter on the answer document. If a player in the group gets the answer incorrect the group must explain how to get the correct answer. Nothing is changed on the player s record sheet document. After all questions are completed, the person with the most letters circled is the winner. Answer Key A) D (13, 9) F) (5, 5) K) 123 P) 115 B) (4, 2) G) (3, ) L) 40 Q) 97 C) (4, 5) H) B (5, 3) M) 50 R) 28 D) (1, 1 ) I) C (2,1)(4,4)(10,4) (8,1) N) 100 E) (8, 5.5) J) 124 O) 64

6 Name: Record Sheet A B C D E F G H I J K L M N O P Q R Name: Record Sheet A B C D E F G H I J K L M N O P Q R Name: Record Sheet A B C D E F G H I J K L M N O P Q R Name: Record Sheet A B C D E F G H I J K L M N O P Q R

7 A Look at the coordinates listed next to the graph. Which of the ordered pairs represents a point inside both the triangle and circle? A. (10, 9) B. (8, 12) C. (15, 8) D. (13, 9) B Name the coordinates of the point that is halfway between point L and point M. C Name the coordinates of the missing vertex of the rectangle below. (2, 2) (4, 2) (2, 5) Missing coordinates (?,? )

8 D Name the ordered pair that shows point R on the coordinate grid below. E Name the ordered pair that shows point Y on the coordinate grid below. F Name the coordinates of the missing vertex of the hexagon below. (1, 4) (1, 2) (3, 6) (2, 1) (4, 1) Missing coordinates (?,? )

9 G Name the ordered pair that shows point R on the coordinate grid below. 3 S 2 1 Q R H Look at the coordinates listed next to the graph. Which of the ordered pairs represents a point inside the triangle and outside the rectangle? A (5,5) B (5,3) C (4,7) D (8,3) I A parallelogram is shown on the grid below. Which set of ordered pairs best represents the 4 vertices of the parallelogram? A (1, 2), (4, 4), (4, 10), (1, 8) B (1, 2), (4, 4), (10, 4), (8, 1) C (2, 1), (4, 4), (10, 4), (8, 1) D (2, 1), (4, 4), (4, 10), (1, 8)

10 J A parallelogram is shown below. What is the measure of S? K What is the measure of VUW to the nearest degree? L What is the measure of TZU to the nearest degree?

11 M In the isosceles triangle below, side PM is equivalent to side PN. What is the measure of N to the nearest degree? N What is the measure of R to the nearest degree? O What is the measure of HJK to the nearest degree?

12 P What is the measure of T to the nearest degree? Q What is the measure of MPK to the nearest degree? R What is the measure of D to the nearest degree?

13 Objective 6 Problem Solving 1 Darien's car gets 30 miles per gallon of gasoline. Which statement is best supported by this information? (6.11A) A The car can travel 450 miles on a tank of gasoline. B The car will get better mileage than most other cars. C If the car made a trip of 70 miles and another trip of 110 miles, it would use 6 gallons of gasoline. D The car will use 16 gallons of gasoline to travel 600 miles. 2 Mr. Snow is filling in his driveway with gravel. The driveway is rectangular in shape and measures 60 feet by 20 feet. The gravel costs $15 per square yard. Which piece of information is NOT needed to find the total cost to put the gravel on Mr. Snow's driveway? (6.11A) A The area of the driveway B The perimeter of the driveway C The cost of one square yard of gravel D The lengths of the four sides of Mr. Snow's driveway 3 Martin went to the store and bought 2 loaves of bread for $2.79 each, a ham for $8.50, and 6 cans of corn for $0.59 each. He paid with a $20 bill. Which equation can be used to find c, the change Martin should receive? (6.11A) A c = 2(2.79) (0.59) B c = 20 2(0.59) (2.79) C c = 20 2(2.79) (0.59) D c = (2.79) (0.59)

14 4 A gardener is building a wooden fence around a garden. She needs 18 nails for each fence post, and there are 85 fence posts. If each box of nails holds 500 nails, how many boxes of nails does she need to buy? (6.11B) A 3 B 4 C 5 D 6 5 A student is asked to find the measure of Angle W in triangle WTU, as shown below. (Angle U = 22.) Arrange the problem-solving steps in the correct order for the student to find the measure of Angle W. Step X: Subtract the sum of the two angles from 180. Step Y: Find the measure of Angle T by reading the protractor. Step Z: Add the measure of Angle U and Angle T. A Z, Y, X B X, Y, Z C Y, Z, X D X, Z, Y

15 Extension: Beatrice asked 5 people in a mall for their age and shoe size. The people s names were Ally, Braden, Cathy, Devin and Edward. She graphed their responses on a scatterplot with the x-axis representing their age and the y-axis representing their shoe size. These are the coordinate pairs she graphed in random order: (5, 8) (18, 12) (10, 8) (5, 4) (15, 10) Each coordinate pair represents one person. Using the following clues, match each person with the coordinate pair that represents him/her. Cathy and Edward are the same age. Ally and Cathy wear the same shoe size. Devin s shoes are bigger than Ally s. Devin is younger than Braden. Label each point with the corresponding name. Justify your answer.