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EnVision Math – Topic 15 Classifying Plane figures HANDBOOK Name: ______________________________________________________ Polygons Polygon: is a closed figure made up of line segments Regular Polygon: have sides of equal length and angles of equal measure Made of Line Segments Closed Figure NOT made of line segments NOT a Closed Figure Types of Triangles All 3 angles of a triangle add up to 180° Equilateral Triangle: All sides are equal in length and all three angles have the same measure. Isosceles Triangle: At least two sides are equal in length and at least two angles have the same measure. Scalene Triangle: All three sides are different lengths and all three angles have different measures. Types of Angles Acute Angle: an angle that measures less than 90°. Obtuse Angle: an angle that measures greater than 90° but less than 180°. Right Angle: an angle that measures exactly 90° (forms an “L”). Straight Angle: an angle that measures exactly 180° (forms a straight line). Reflex Angle: an angle that measures greater than 180° but less than 360°.*HINT* measure the inside angle first, then subtract from 360° Properties of Quadrilaterals Type Properties Parallelogram Opposite sides are equal and parallel Opposite angles are equal Rectangle A parallelogram with four right angles Opposite sides are equal and parallel All angles are right angles (90˚) Square A rectangle with all sides the same length Opposite sides are parallel All angles are right angles (90˚) Rhombus A parallelogram with all sides the same length Opposite sides are parallel Opposite angles are equal Trapezoid Only one pair of parallel sides Special Quadrilaterals Groups of quadrilaterals are classified by their properties Trapezoid – exactly one pair of parallel sides trapezoid Parallelogram – two pairs of opposite sides parallel and equal rectangle parallelogram rhombus square Rectangle – four right angles square rectangle Rhombus – all sides the same length rhombus square rhombus Square – all sides the same length, four right angles square Classifying Quadrilaterals Quadrilateral Trapezoid Parallelogram Rhombus Rectangle Square