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Understanding Isosceles Trapezoids and Kites: Base Angles and Diagonal Properties

Explore the properties of isosceles trapezoids and kites through the base angles theorem. Learn that the base angles of an isosceles trapezoid are congruent, and discover how to find the measures of angles in figures. The lesson covers the congruence of diagonals in isosceles trapezoids and kites, emphasizing the calculation of angle measures and variable values. Engage with practical exercises to deepen your understanding of these geometric shapes.

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Understanding Isosceles Trapezoids and Kites: Base Angles and Diagonal Properties

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  1. Trapezoids and Kites 6-5

  2. Base Angles BASE ANGLES BASE ANGLES

  3. Theorem 6-15 The base angles of an isosceles trapezoid are congruent.

  4. A B 102° D C Find the measure of angles A, B and C.

  5. Find the value of the variables in the isosceles trapezoid. y˚ (6x+20)˚ (4x)˚

  6. Theorem 6-16 The diagonals of an isosceles trapezoid are congruent.

  7. QS = x + 5 RP = 3x + 3 R Q P S

  8. 1. In the early days of film making, the people who worked on the sets were called… Movies, the films were called motion pictures. 2. How many rows does an ear of corn have? Always an even number. 3. Where are french fries from? Belgium

  9. Theorem 6-17 The diagonals of a kite are perpendicular.

  10. Find the measure of angles 1, 2, and 3 in the kite. 46° 1 2 3

  11. Find the measure of angles 1, and 2 in the kite. 80˚ x y 44˚

  12. HW: WS

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