AMSCO'S Geometry. New York - Rye High School

418 QuadrilateralsPart 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 measures of the angles of a triangle can be represented by 3x,4x 5,and 5x 17. Find the measure of each angle of the triangle.12. In the diagram, ABg CD g. Prove thatmx my mz.AGExzBPart IIICyFDAnswer 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. The bases, AB and DE, of two isosceles triangles, ABC and DEF, arecongruent. If CAB FDE, prove that ABC DEF.14. Points A, B, C, and D are on a circle with center at O and diameter AOB.ABCD is a trapezoid with AB CD and AO > CD. Prove that OC andOD separate the trapezoid into three equilateral triangles. (Hint: All radiiof a circle are congruent.)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.15. The vertices of quadrilateral KLMN are K(3, 1), L(2, 0), M(6, 4), andN(2, 6). Show that KLMN is a trapezoid.16. The coordinates of the vertices of ABC are A(2, 2), B(4, 0), and C(4, 2).Find the coordinates of the vertices of ABC, the image of ABCunder the composition r y-axis+ r y=x.