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Transcript
Academy of MATH Geometry Student Reference Sheet Levels 6-8 GEOMETRY LINES, SEGMENTS, and RAYS A line segment is a straight line with 2 points that mark the end of the line segment. A line that goes from side to side is called a horizontal line segment. A line that goes up and down is called a vertical line segment. Intersecting lines are lines that cross. The point at which they cross is called the point of intersection. ANGLES TRIANGLES The sum of all the angles is always equal to 1800 QUADRILATERALS The sum of all the angles is always equal to 3600 Quadrilaterals are polygons with 4 sides. Squares and rectangles are special polygons with all right angle corners. Circles are special shapes with all dimensions equal around the center point. A line through the center point from side to side is the diameter. A line from the center point to an edge is the radius. The distance around the circle is the circumference. SOLIDS The sides are called the face. Where the faces meet are called the edges. Where the edges meet are called the vertices. These solids have flat faces that are polygons Shape Cube Cone Triangular Prism Rectangular Prism Cylinder Sphere # of faces 6 1 5 6 2 0 These solids have curved faces # of edges 12 0 9 12 0 0 # of vertices 8 1 6 8 0 0 A sphere is a special solid with no faces, edges, or vertices. CONGRUENCY These are the same size and shape These are the same shape, but different sizes POLYGONS Polygons are made up of connecting line segments In rotational symmetry the shape covers itself two or more times as it rotates SPECIAL ANGLES SPECIAL SIMILARITY Similarity can also be Similarity can also be by measuring each angle: If they are equal the triangles are similar. SPECIAL CONGRUENCY