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 sine 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.

AAA and Eke decide to drive to Sandy Shores Lake. As they leave home in Somerville, they notice that the car odometer reads 12,544 miles. When they stop at Winter 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 Somerville to Sandy Shores Lake? Answer: 175 miles. (6 points) 3. Use compass and straightedge to bisect CIT. 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, . Bump, etc) Copy the picture Paste to this page Do not send separately. Save test as Lully First Initial Last Name, I. E. , “Alarmist” OR Take a picture of the construction with your phone or camera Save as a photo on your computer Save test as LU ALL_First Initial_Last Name, I. E. , ” (8 points) U4L3RSfi1ith” 4. If the rule (x, y) (x + 3, y – 3) is applied to the original triangle, give the coordinates of and draw the image.