GRADE 11: EUCLIDEAN GEOMETRY (EXAM AND TEST PREP)

Unlock the secrets of Euclidean Geometry with our comprehensive Grade 11 Exam and Test Prep course. Designed specifically for high school learners, this self-paced online guidebook offers an in-depth exploration of Euclidean Geometry concepts, ensuring you master the fundamentals and excel in your exams. Our course covers essential topics such as points, lines, angles, triangles, and circles, providing clear explanations, step-by-step solutions, and plenty of practice problems to reinforce your understanding. Whether you are struggling with the basics or looking to perfect your skills, this guidebook is your key to success. Join now and gain the confidence to tackle any geometry problem with ease! In this program, you will: 1. Accept results established in earlier grades as axioms that a tangent to a circle is perpendicular to the radius drawn to the point of contact 2. Then investigate and prove the theorems of the geometry of circles: • The line drawn from the centre of a circle perpendicular to a chord bisects the chord • The line drawn from the centre of a circle to the midpoint of a chord is perpendicular to the chord • The perpendicular bisector of a chord passes through the centre of the circle • The angle subtended by an arc at the centre of a circle is double the size of the angle subtended by the same arc at the circle (on the same side of the chord as the centre) • Angles subtended by a chord of the circle, on the same side of the chord, are equal • The opposite angles of a cyclic quadrilateral are supplementary • Two tangents drawn to a circle from the same point outside the circle are equal in length • The angle between the tangent to a circle and the chord drawn from the point of contact is equal to the angle in the alternate segment Use the above theorems and their converses, where they exist, to solve riders