AMSCO'S Geometry. New York - Rye High School

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. a. The figure below shows the construction of the perpendicular bisector,, of segment AB. Identify all congruent segments and angles in theconstruction and state the theorems that prove that DE gis the perpendicularbisector of AB.DE g Cumulative Review 635EADMBb. The figure below shows the construction of FDE congruent toCAB. Identify all congruent lines and angles in the construction andstate the theorems that prove that FDE CAB.CFABDE16. a. Quadrilateral ABCD is inscribed in circle O, AB CD, and AC is adiameter. Prove that ABCD is a rectangle.b. In quadrilateral ABCD, diagonals AC and BD intersect at E. If ABEand CDE are similar but not congruent, prove that the quadrilateralis a trapezoid.c. Triangle ABC is equilateral. From D, the midpoint of AB, a linesegment is drawn to E, the midpoint of BC, and to F, the midpoint ofAC. Prove that DECF is a rhombus.