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Angles and Theorems in Geometric Figures with Pardekooper

Learn about angle measures in polygons, trapezoids, and kites with Pardekooper. Solve angle problems and understand key theorems. Complete assignment on workbook page 365.

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Angles and Theorems in Geometric Figures with Pardekooper

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  1. • Week14 day 4 The sums of the angle measures of three polygons are given. Based on the pattern, what will be the sum of the measures of a hexagon in degrees? 180° 360° 540° Record your answer and be sure to use the correct place value. 6

  2. Pardekooper 6.5 Trapezoids and Kites

  3. Pardekooper 1st, lets look at some theorems • The base angles of an isosceles trapezoid are congruent. Same side interior angles are supplementary

  4. A B D C AC BD Pardekooper 1st, lets look at some theorems • The diagonals of an isosceles trapezoid are congruent.

  5. Pardekooper 1st, lets look at some theorems • The diagonals of a kite are perpendicular. • One of the diagonals is an angle bisector • One pair of angles are congruent

  6. 3 2 650 1 Pardekooper OK, here comes a problem. The following is an isosceles trapezoid. Find the measure of the numbered angles. The sum of the angles of a quadrilateral is 3600 1 = 650 650+1+2+3 = 3600 Remember 2 3 650+ 650+x+x = 3600 1300+x+x = 3600 1300+2x = 3600 -1300 -1300 2x = 2300 2 2 2 = 1150 x = 1150 3 = 1150

  7. 450 1 3 2 Pardekooper How about another problem. Find the measure of the numbered angles in the kite. 2 = 900 diagonals of a kite are perpendicular 3 = 900 Remember The sums of the angles of a triangle equals 1800 450+ 900+1 = 1800 1350+x = 1800 -1350 -1350 x = 450 1 = 450

  8. Pardekooper Here comes the assignment.

  9. Assignment Workbook Page 365 all

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