AMSCO'S Geometry. New York - Rye High School

602 Geometry of the CirclePart IIAnswer all questions in this part. Each correct answer will receive 2 credits.Clearly indicate the necessary steps, including appropriate formula substitutions,diagrams, graphs, charts, etc. For all questions in this part, a correct numericalanswer with no work shown will receive only 1 credit.11. The coordinates of the vertices of ABC are A(8, 0), B(4, 4), andC(0, 4).a. Find the coordinates of D, the midpoint of AB.b. Find the coordinates of E, the midpoint of BC.c. Is DE AC ? Justify your answer.d. Are ABC and DBE similar triangles? Justify your answer.12. ABCD is a quadrilateral, AC > BD and AC and BD bisect each other atE. Prove that ABCD is a rectangle.Part IIIAnswer all questions in this part. Each correct answer will receive 4 credits.Clearly indicate the necessary steps, including appropriate formula substitutions,diagrams, graphs, charts, etc. For all questions in this part, a correct numericalanswer with no work shown will receive only 1 credit.13. In the diagram, AB gand CD gintersectat E in plane p, EF g ' AB g, andEF g ' CD g. If EA > EC, prove thatFA > FC.ACEFDBp14. The length of the hypotenuse of a right triangle is 2 more than the lengthof the longer leg. The length of the shorter leg is 7 less than the length ofthe longer leg. Find the lengths of the sides of the right triangle.Part IVAnswer all questions in this part. Each correct answer will receive 6 credits.Clearly indicate the necessary steps, including appropriate formula substitutions,diagrams, graphs, charts, etc. For all questions in this part, a correct numericalanswer with no work shown will receive only 1 credit.