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Published byPhoebe Jackson Modified over 6 years ago

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The mathematical study of the properties, measurements, and relationships of points, lines, planes, surfaces, angles, and solids. Geometry

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Lines of Symmetry A line that divides a figure into two halves that are reflections of each other.

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Transformations Reflection Rotation Translation

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Two-Dimensional Figures

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Polygons A simple closed figure formed by 3 or more sides. The number of sides determines the name of the polygon.

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Regular Polygons A regular polygon is a polygon with all sides congruent and all angles congruent.

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Triangles A polygon with 3 sides and 3 angles. Triangles can be classified by the length of their sides. Triangles can be classified by the kind of angles.

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Triangles Classified by their sides Equilateral Triangle -all 3 sides equal in length -all 3 angles equal in measure

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Triangles Classified by their sides Isosceles Triangle -2 sides are congruent -the two angles opposite the congruent sides, angles K and L, are the base angles -the base angles are congruent KL M

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Triangles Classified by their sides Scalene Triangle -0 sides equal in length

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Triangles Classified by their angles Acute Triangle -all 3 angles acute 60° The sum of the angles in a triangle equals 180°.

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Triangles Classified by their angles Obtuse Triangle obtuse angle -2 acute angles The sum of the angles in a triangle equals 180°. 120° 35° 25°

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Triangles Classified by their angles Right Triangle right (90°) angle -2 acute angles 90° 60° 30° The sum of the angles in a triangle equals 180°.

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Quadrilaterals A polygon with 4 sides. Some special quadrilaterals include: Square Rectangle Parallelogram Rhombus Trapezoid

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Square 4 right (90°) angles Opposite sides parallel All sides equal in length 90° The sum of the angles equals 360°. 90 ° + 90 ° + + = 360 ° 90 ° x 4 = 360 °

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Rectangle 4 right (90°) angles Opposite sides parallel Opposite sides equal in length 90° The sum of the angles equals 360°. 90 ° + 90 ° + + = 360 ° 90 ° x 4 = 360 °

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Rhombus Opposite sides parallel All sides equal in length The sum of the angles equals 360°. 80 ° + 80 ° + 100 ° + = 360 ° 80 ° 100 °

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Parallelogram Opposite sides parallel The sum of the angles equals 360°. 80 ° + 80 ° + 100 ° + = 360 ° 80 ° 100 °

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Trapezoid Has one pair of parallel sides The sum of the angles equal 360°. 80 ° + 80 ° + 100 ° + = 360 ° 100 ° 80 °

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Compare a rectangle and a parallelogram. Are alike because: opposite sides parallel opposite sides congruent four sides Are different because: rectangles have four right angles

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Find the missing angle measurement in the quadrilateral. 80° 100° 1 = ____ 80° 1

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Find the missing angle measurement in the triangle. 90° 60° 1 = ____ 30° 1

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Find the missing angle measurement in the quadrilateral. 90° 80° 1 = ____ 100° 1

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Find the missing angle measurement in the triangle. 78° 1 1 = ____ 24°

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