logging in or signing up lines n angles aSGuest136579 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: Embed: Flash iPad Dynamic Copy Does not support media & animations Automatically changes to Flash or non-Flash embed WordPress Embed Customize Embed URL: Copy Thumbnail: Copy The presentation is successfully added In Your Favorites. Views: 1492 Category: Education License: All Rights Reserved Like it (1) Dislike it (0) Added: June 03, 2012 This Presentation is Public Favorites: 2 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript PowerPoint Presentation: Lines and AnglesPowerPoint Presentation: Ray Line Intersecting Lines Parallel Lines Line Segment Types of LinesPowerPoint Presentation: RAY : A part of a line, with one endpoint, that continues without end in one direction LINE : A straight path extending in both directions with no endpoints LINE SEGMENT : A part of a line that includes two points, called endpoints, and all the points between themPowerPoint Presentation: INTERSECTING LINE : The two lines in the same plane are not parallel, they will intersect at a common point. Those lines are intersecting lines. Here C is the common point of AE and DBPowerPoint Presentation: PARALLEL LINES : Lines that never cross and are always the same distance apartPerpendicular Lines: Perpendicular Lines Two lines that intersect to form a right anglesPowerPoint Presentation: Angles The figure formed when two rays share the same endpoint Right Angle: An angle that forms a square corner Acute Angle: An angle less than a right angle Obtuse Angle: An angle greater than a right anglePowerPoint Presentation: Straight Angle : It is equal to 180° Reflex Angle : An angle which is more than 180° but less than 360°PowerPoint Presentation: Complementary Angles : Two angles adding up to 90° are called complementary angles. Here ABD + DBC are Complementary.Supplementary Angles: Two angles adding up to 180° are called supplementary.: Supplementary Angles : Two angles adding up to 180° are called supplementary. ABD + DBC are supplementaryTransversal: A Transversal is a line that intersect two parallel lines at different points.: Transversal : A Transversal is a line that intersect two parallel lines at different points.PowerPoint Presentation: Vertical Angles : Two angles that are opposite angles 1 2 3 4 5 6 7 8 t 1 4 2 3 5 8 6 7PowerPoint Presentation: Linear Pair : Two angles that form a line (sum=180 ) 1 2 3 4 5 6 7 8 t 5+ 6=180 6+ 8=180 8+ 7=180 7+ 5=180 1+ 2=180 2+ 4=180 4+ 3=180 3+ 1=180PowerPoint Presentation: Corresponding Angles : Two angles that occupy corresponding positions are equal. 1 5 2 6 3 7 4 8 t 1 2 3 4 5 6 7 8PowerPoint Presentation: Alternate Interior Angles : Two angles that lie between parallel lines on opposite side. 3 6 4 5 1 2 3 4 5 6 7 8Co-Interior Angles: Two angles that lie between parallel lines on the same side of the transversal: Co-Interior Angles : Two angles that lie between parallel lines on the same side of the transversal 1 2 3 4 5 6 7 8 3 + 5 = 180 4 + 6 = 180Alternate Exterior Angles: Two angles that lie outside parallel lines on opposite sides of the transversal: Alternate Exterior Angles : Two angles that lie outside parallel lines on opposite sides of the transversal 1 2 3 4 5 6 7 8 2 7 1 8Angle Sum Property Of Triangle: The sum of the angles of a triangle is 180°.: Angle Sum Property Of Triangle : The sum of the angles of a triangle is 180° . 1 2 3 1 + 2 + 3 = 180° Property of Exterior Angle: If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.: Property of Exterior Angle : If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. Angle 1,2,3 are exterior angles of triangleProof : Vertically Opposite Angles are equal To Proof – Vertically Opposite Angles are equal ProofPowerPoint Presentation: Solution - b + n = 180 ° ( LINEAR PAIR) b + m = 180 ° ( LINEAR PAIR) EQUATING BOTH THE EQUATIONS → b + n = b + m → n = m Hence ProvedPowerPoint Presentation: Angle Sum Property Of A Triangle is 180 ° To Proof - Angle Sum Property Of a Triangle is 180° Construction - Draw ↔m parallel to BC Solution - 4 = 1 (Alternate Interior Angles) 5 = 2 (Alternate Interior Angles)PowerPoint Presentation: 3 + 4 + 5 = 180 ° ( Angles on the same line are supplementary) Substituting the values 3 + 1 + 2 = 180 ° (Angle Sum Property) Hence ProvedPowerPoint Presentation: The End Made by: Rohan Dalmia You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.