Presentation on theme: "CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION"— Presentation transcript:
1CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY
2LEARNING TARGETS AFTER YOU COMPLETE THIS CHAPTER, YOU WILL BE ABLE TO: MEASURE AND CLASSIFY ANGLESNAME AND CLASSIFY TRIANGLESFIND THE MEASURE OF ANGLES IN TRIANGLESIDENTIFY QUADRILATERALSDETERMIN DEGREES IN POLYGONS
3VOCABULARY INTERSECTION: THE POINT WHERE TWO LINES CROSS IN A FIGURE RAY: PART OF A LINE THAT HAS ONE ENDPOINT AND EXTENDS INDEFINIETLY IN ONE DIRECTIONVERTEX: A COMMON POINT TO BOTH SIDES OF AN ANGLEPROTRACTOR: A TOOL USED TO DRAW AND MEASURE ANGLES
7Identifying & Classifying Angles Adjacent: two angles with the same vertex that share a sideVertical: angles formed by intersecting linesAcute: an angle < 90⁰Obtuse: an angle > 90⁰Complementary Angles = 90⁰Supplementary Angles = 180⁰
12Internal/External Angles Internal Angles: formed by extending one side of a polygon at any vertexInternal Angles: any angle within a polygonTriangle – 180⁰ of internal anglesQuadrilateral (4 sided figures) – 360⁰ of internal anglesPentagon – 540⁰ of internal anglesHexagon – 720⁰ of internal anglesOctagon – 1080⁰ of internal angles
13External Angles External Angles The external angle is angle w
14Naming Triangles Tick – a short line used to mark sides in geometry Acute Triangle – no angles >90⁰Obtuse Triangle – one angle >90⁰Equiangular Triangle – all angles equalRight Triangle - one angle exactly 90⁰When you name triangles this way, you are naming them by their angles.
18Congruence Congruent Shapes – are alike in every detail. Congruent Triangles:
19Three Theorems to Prove Congruence Angle-Side-Angle: (ASA) – two like angles, one like side.Side-Side-Side: (SSS) – all sides are alikeSide-Angle-Side: (SAS) – two like sides, one like angle.These theorems are proved by examining the ticks in the two triangles.
23Similar ShapesSimilar: figures that have the same shape but not the same size.Corresponding Angles: interior or exterior angles in figures with the same proportions, and shape, but not the same size:
24Quadrilaterals Quadrialterals: shapes with 4 sides: Square and RectangleParallelogram and RhombusKiteTrapezoidAll Internal Angles = 360⁰