Unit 1 Test Part 2
Name:
Date:
Graded Assignment
Unit Test, Part 2
Answer the questions below. You may use a drawing compass, ruler, and calculator. When you are finished, submit this test to your teacher by the due date for full credit.
You ARE NOT allowed to use the internet while completing this exam unless specific directions are given in a problem stating that you may access a graphic via google or other search engine. Use of the internet while completing this test is considered cheating and will result in the test receiving a zero. Please refer to your Student Handbook for details.
(8 points)
1. Write a paragraph describing the relationship between triangles and circles. Be sure to include a description of the different centers a triangle can have.
Answer:
Angles and points on the circumference of a circle are the same thing. A point on the unit circle is the same as a right triangle formed by a radius to the point and its perpendicular to the x-axis. Hence sines and cosines which come from ratios of legs of a right triangle to the length of the hypotenuse are also the coordinates of the point on a circle of radius one.
(5 points)
2. Al and Ike decide to drive to Sandy Shores Lake. As they leave home in Summerville, they notice that the car odometer reads 12,544 miles. When they stop at Winterton to have lunch, they notice that the odometer reads 12,671 miles, and they see this road sign: Sandy Shores Lake 48 miles. What is the distance from Summerville to Sandy Shores Lake?
Answer:
175 miles.
(6 points)
3. Use compass and straightedge to bisect T. Describe your process carefully and clearly. This must be done by hand. Once the construction is completed do the ONE of the following:
Scan the construction
Save as a photo/picture (.jpg, .bmp, etc)
Copy the picture
Paste to this page Do not send seperately.
Save test as U1L18_First Initial_Last Name, i.e., “U4L3RSmith”
OR
Take a picture of the construction with your phone or camera
Save as a photo on your
Date:
Graded Assignment
Unit Test, Part 2
Answer the questions below. You may use a drawing compass, ruler, and calculator. When you are finished, submit this test to your teacher by the due date for full credit.
You ARE NOT allowed to use the internet while completing this exam unless specific directions are given in a problem stating that you may access a graphic via google or other search engine. Use of the internet while completing this test is considered cheating and will result in the test receiving a zero. Please refer to your Student Handbook for details.
(8 points)
1. Write a paragraph describing the relationship between triangles and circles. Be sure to include a description of the different centers a triangle can have.
Answer:
Angles and points on the circumference of a circle are the same thing. A point on the unit circle is the same as a right triangle formed by a radius to the point and its perpendicular to the x-axis. Hence sines and cosines which come from ratios of legs of a right triangle to the length of the hypotenuse are also the coordinates of the point on a circle of radius one.
(5 points)
2. Al and Ike decide to drive to Sandy Shores Lake. As they leave home in Summerville, they notice that the car odometer reads 12,544 miles. When they stop at Winterton to have lunch, they notice that the odometer reads 12,671 miles, and they see this road sign: Sandy Shores Lake 48 miles. What is the distance from Summerville to Sandy Shores Lake?
Answer:
175 miles.
(6 points)
3. Use compass and straightedge to bisect T. Describe your process carefully and clearly. This must be done by hand. Once the construction is completed do the ONE of the following:
Scan the construction
Save as a photo/picture (.jpg, .bmp, etc)
Copy the picture
Paste to this page Do not send seperately.
Save test as U1L18_First Initial_Last Name, i.e., “U4L3RSmith”
OR
Take a picture of the construction with your phone or camera
Save as a photo on your