Question

Q.12: In the diagram, points A, E, F and B are distinct points that lie on the circle.
AB is a diameter, ZCEF and Z DFE are right angles, and points A,C,D
and B are collinear in that order. AB = 200 and CE = 113. Find the sum of
all distinct integer values for the length of EF such that the length of DF is an
odd integer
E
D​

Answer 1

Euclidean geometry, sometimes called parabolic geometry, is a geometry that follows a set of propositions that are based on Euclid's five postulates.There are two types of Euclidean geometry: plane geometry, which is two-dimensional Euclidean geometry, and solid geometry, which is three-dimensional Euclidean geometry.The most basic terms of geometry are a point, a line, and a plane. A point has no dimension (length or width), but it does have a location. A line is straight and extends infinitely in the opposite directions. A plane is a flat surface that extends indefinitely.Collinear points: points that lie on the same straight line or line segment. Points A, B, and C are collinear.Line Segment: a straight line with two endpoints. Lines AC, EF, and GH are line segmentsRay: a part of a straight line that contains a specific point. Any of the below line segments could be considered a rayIntersection point: the point where two straight lines intersect, or cross. The point I is the intersection point for lines EF and GH.Midpoint: a point in the exact middle of a given straight line segment. Point B is themidpoint of line AC.