Unit 4 test

MTH 208A Geometry Unit 4 Test 43 points \"You will need to show all work- including graphing polygons. You can print the test and then scan and submit, use the Drawing tools in Word, take a screenshot (then workout the problem and put the screenshot in document as your work). The excuse of \"I can't write on it or show my work\" will not be accepted and you will lose points. Please reach out to me if you need help coming up with a method. 1. What is the area of the rectangle? Must show all work. (7 points) 10' a. What is the formula for the area ofthe rectangle? b. Find the length of the base. Round do the nearest tenth if needed. c. Find the length ofthe height. Round do the nearest tenth if needed\" d. Find the area ofthe rectangle. 2. What is the area of a triangle whose vertices aLe_A(2, 1} , B(4, -1} , and C(2, 6) ? (7 points) 9 8 7 6 5 4 3 2 l I a. What is the formula for the area of the triangle? b. Find the length of the base. Round do the nearest tenth if needed. c. Find the length of the height. Round do the nearest tenth if needed. d. Find the area of the triangle. 3. The coordinates of the vertices ofa polygon are $414): B(4,4) , C(0,6) , D(4,4) , and E{4,-1) . What is the perimeter of the polygon? (14 points) a. Graph the polygon b. Find the length of E. c. Find the length of R. d. Find the length of m. e. Find the length of E. f. Find the length of E. g. Find the perimeter. Round your answer to the nearest tenth. 4. Identify the lines below as parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is E? (3 points) a. line n, with slope g b. line m, with slope g . . 2 c. line ,0, with slope E 5. What is the equation ofa line that is perpendicular to 3x + 2}? = 6 and passes through the point (6, 1) ? {4 points) a. Write the equation 3x + 2y = 6 in slope-intercept form b. Identify the slope ofthe line represented in part a. c. What is the slope of the line perpendicular to the line in steps a and b? d. Write the equation of the perpendicular line in slope-intercept form. 6. In AABC, the coordinates of verticesA and B are gzil and B{1,1) C (2,3). Is this a right triangle? Why or why not? {8 points) a. Graph the triangle b. Find the slope of each side of the triangle. c. Is this a right triangle? Explain why or why not