Angle properties of Triangles | Geometry скачать в хорошем качестве

Angle properties of Triangles | Geometry

The properties of the angles of a triangle are discussed in this video on Geometry. The properties include (1) The sum of the three angles in a triangle is equal to 180 degrees and (2) An exterior angle is equal to the sum of the two opposite interior angles. This topic: GEOMETRY AND TRIGONOMETRY (Playlist:    • 4. Geometry and Trigonometry  ) Upon completion of this series of videos on this topic, you will understand/be able to: 1. explain concepts relating to geometry; a. Points, lines, parallel lines, intersecting lines, perpendicular lines, line segments, rays, curves, planes; types of angles; number of faces, edges and vertices. 2. identify the type(s) of symmetry possessed by a given plane figure; a. Line(s) of symmetry, rotational symmetry, order of rotational symmetry. 3. solve geometric problems using properties of: a. lines, angles, and polygons; i. Determining and justifying the measure of angles: adjacent angles, angles at a point, supplementary angles, complementary angles, vertically opposite angles. ii. Parallel lines and transversals, alternate angles, corresponding angles, co-interior angles. iii. Triangles: equilateral, isosceles, scalene, obtuse, right, acute. iv. Quadrilaterals: Square, rectangle, rhombus, kite, parallelogram, trapezium. v. Other polygons. b. congruent triangles; i. Cases of congruency. c. similar figures; i. Properties of similar triangles d. faces, edges and vertices of solids; and, e. classes of solids; i. Prisms, pyramids, cylinders, cones, sphere. 4. solve geometric problems using properties of circles and circle theorems; a. Radius, diameter, chord, circumference, arc, tangent, segment, sector, semicircle, pi. b. Determining and justifying angles using the circle theorems: i. The angle which an arc of a circle subtends at the centre of a circle is twice the angle it subtends at any point on the remaining part of the circumference. ii. Angles at the circumference in the same segment of a circle and subtended by the same arc/chord are equal. iii. The angle at the circumference subtended by the diameter is a right angle. iv. The opposite angles of a cyclic quadrilateral are supplementary. v. The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle. vi. The angle between a tangent to a circle and a chord through the point of contact is equal to the angle in the alternate segment. vii. A tangent of a circle is perpendicular to the radius/diameter of that circle at the point of contact. viii. The lengths of two tangents from an external point to the points of contact on the circle are equal. ix. The line joining the centre of a circle to the midpoint of a chord is perpendicular to the chord. Social Media: Follow me on twitter:   / dubemaths   Facebook page:   / dubemaths   Send me an email: dubemaths@gmail.com Remember, if you like this video, if you like what I do on this channel, please like this video. If you are new to this channel, Please subscribe. The vision: Do you want to obtain excellent grades in Mathematics? Then, look no further. Upon completion, my channel will offers a complete course in Mathematics. The course is strategically structured, starting with the very basics, to cater to present and recent secondary school students, working professionals and mature candidates alike. These videos are equally great if you have never done the topic before or if you are just interested in revision. Welcome to the experience. My aim is to help you understand Mathematics – to help you to see that Mathematics is not difficult – to show you that perseverance is the only way… Practice! Practice! Practice! The great thing about having a course on YouTube is that you can go at your own speed – pause, replay, skip ahead at your own leisure. The most important thing is that you stick with it… a little everyday brings excellent grades your way. In closing: As always, my name is Mr. Dube. Join me in the next video.