1.
Geometry Concepts Point Line Ray Line segment Ray Angles Parallel Lines Triangles Quadrilaterals Parallelograms Area Circles Volume
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A point can be describedas a location in space.Represented by a dot andis named by writing acapital letter next to thedot. POINT
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A line is a straight rowof points that goes onforever in bothdirections. A line isdrawn by using arrowheads at both ends. LINE
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A line segment is a pieceof a line that has twoendpoints. A linesegment is named for itsendpoints. The segmentwith endpoints A and Bshown to the right isnamed: LINE SEGMENT
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A ray is a part of a line thathas only one endpoint andgoes on forever in onedirection. A ray is namedby using the endpoint andsome other point on theray: RAY
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Lines that are on the sameplane, but that neverintersect (cross). PARALLEL LINES
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Lines that intersect (cross). INTERSECTING LINES
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Types of Angles• Classification – Acute angle: all angles are less than 90° – Obtuse angle: one angle is greater than 90° – Right angle: has one angle equal to 90°• Complementary angle: the sum of two angles is 90°• Supplementary angle: the sum of two angles is 180°• Adjacent angle: angles that share a side
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An angle is made up oftwo rays that start at acommon endpoint. Thecommon endpoint iscalled the vertex. Named: ANGLE
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Angles can be measured indegrees. The symbol fordegrees is a small raisedcircle ° DEGREES
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An angle of 180° is calleda straight angle. When tworays go in oppositedirections and form astraight line, then the raysform a straight angle STRAIGHT ANGLE
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An angle of 90° is called aright angle. The rays of aright angle form one cornerof a square. So, to show thatan angle is a right angle, wedraw a small square at thevertex. RIGHT ANGLE
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An Obtuse angle measuresmore than 90° but lessthan 180° OBTUSE ANGLE
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Two lines are calledperpendicular lines if theyintersect to form a rightangle. PERPENDICULAR LINES
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Two angles are calledcomplementary angles ifthe sum of their measuresis 90°. If two angles arecomplementary , eachangle is the complementof the other. COMPLEMENTARY ANGLES
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Two angles are calledsupplementary angles if thesum of their measures is180° SUPPLEMENTARY ANGLES
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Triangles• The sum of the angles in a triangle is 180°• a – b < third side < a + b• The sum of the two remote interior angles is equal to the exterior angles• Types: Scalene Isosceles Equilateral Right No sides Two All One are equal sides are equal sides are equal Right angle
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Polygons• The sum of the interior angles: (n - 2)(180°)• Classified by number of sides (n) – Triangle (3) – Quadrilateral (4) – Pentagon (5) – Hexagon (6) – Heptagon (7) – Octagon (8) – Nonagon (9) – Decagon (10)• Regular Polygon: all sides are congruent
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Quadrilaterals PARALLELOGRAM TRAPEZOIDS Both pairs of opposite Only one pair of sides are parallel Opposite sides parallelRECTANGLE ROMBUS 4 equal sides ISOSCLES4 right angles TRAPEZOID A trapezoid that has two equal sides SQUARE Both a rhombus and a rectangle
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Properties of Parallelograms Diagonals bisect each other Opposite sides are congruent Opposite angles are congruent Diagonals bisect each other Consecutive angles are supplementary Diagonals form two congruent triangles Diagonals areperpendicular to each other Diagonals are Diagonals congruent to each other bisect their angles Diagonals are perpendicular to each other Diagonals bisect their angles
22.
Circles Circumference A = πr2 C = 2πr or C = πd• Exact: express in terms of π• Approximate: use an approximation of π (3.14)
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