Learning Objectives

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Learning Objectives

• To memorize all types and descriptions of
  quadrilaterals
• To identify types of quadrilaterals given a
  picture or description
• To recognize relationships between quadrilaterals

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7-7 Classifying Quadrilaterals

• Parallelogram 2 pairs of parallel sides
• Rhombus 4 congruent sides
• Rectangle 4 right angles

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More Quadrilaterals

• Square 4congruent sides and 4 right angles
• Trapezoid exactly 1 pair of parallel sides
• Kite exactly 2 pairs of congruent, adjacent
  sides

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Types of Quadrilaterals
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Give all the Names that Apply
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True or False

• All squares are rhombuses.
• All kites are parallelograms.
• All rhombuses are rectangles.
• All rectangles are squares.
• All squares are rectangles.

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Think and Discuss

• 1. Compare a parallelogram with a trapezoid.
• 2. Describe how you can decide whether a rhombus
  is also a square.
• 3. Discuss why a rhombus is not a kite.

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Learning Objectives

• To determine the measure of unknown angles in a
  triangle given the other two angles
• To use diagonals to find the sum of interior
  angle measures
• To draw triangles to find the sum of interior
  angles measures

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7-8 Angles in Polygons

• Triangles add up to 180 degrees
• To find the unknown angle of a triangle, add up
  the two known sides and subtract from 180.

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Finding Angles of Polygons Method 1

• Diagonal segment drawn from one vertex to
  another
• Since we know triangles add up to 180 degrees,
  divide each polygon into triangles to find the
  sum of the polygons angles.
• of triangles x 180 degrees sum of angles

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Practice

• Divide each polygon into triangles and use the
  formula
• of triangles x 180 degrees sum of angles

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Method 2

• Once you understand how to divide a polygon into
  triangles, you can use this formula
• 180 (n -2) sum of angles
• N stands for the number of sides in the polygon
• We subtract 2 from the sides because thats how
  many triangles exist

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Practice

• Use the formula 180 (n -2) sum of angles

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Think and Discuss

• 1. Explain how to find the measure of an angle
  in a triangle when the measures of the two other
  angles are known.
• 2. Determine for which polygon the sum of the
  angle measures is greater, a pentagon or octagon.
• 3. Explain how the measure of each angle in a
  regular polygon changes as the number of sides
  increases.

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Learning Objectives

• To identify congruent figures in the real world
• To identify congruent triangles according to the
  rule that makes them congruent
• To memorize congruent triangle rules
• To use congruence to find missing measures

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7-9 Congruent Figures

• Congruent same size and shape

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Congruent Triangles

• Side-Side-Side (SSS)
• Side-Angle-Side (SAS)
• Angle-Side-Angle (ASA)
• Rules that dont work
• Goodwin Trouble (Angle-Side-Side)
• Car Trouble (Angle-Angle-Angle)

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Which rule applies?
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Which rule applies?