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9.5 Properties and conditions for Kites and Trapezoids

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9.5 Properties and conditions for Kites and Trapezoids

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9.5 Properties and Conditions for
Kites and Trapezoids
Essential Question: What are the properties of
kites and trapezoids?
9.5 Properties and conditions for Kites and Trapezoids
Properties of Kites
1. The diagonals are perpendicular.
2. Exactly one pair of opposite angles
are congruent.
3. One of the diagonals bisects the pair
of non-congruent angles.
4. Exactly one diagonal bisects the
other.
1. The diagonals are perpendicular.
2. Exactly one pair of opposite angles are congruent.
3. One of the diagonals bisects the pair of non-congruent angles.

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9.5 Properties and conditions for Kites and Trapezoids

  • 1. 9.5 Properties and Conditions for Kites and Trapezoids Essential Question: What are the properties of kites and trapezoids?
  • 3. Properties of Kites 1. The diagonals are perpendicular. 2. Exactly one pair of opposite angles are congruent. 3. One of the diagonals bisects the pair of non-congruent angles. 4. Exactly one diagonal bisects the other.
  • 4. 1. The diagonals are perpendicular.
  • 5. 2. Exactly one pair of opposite angles are congruent.
  • 6. 3. One of the diagonals bisects the pair of non-congruent angles.
  • 7. 4. Exactly one diagonal bisects the other.
  • 10. Properties of Isosceles Trapezoid 1.The bases of an isosceles trapezoid are parallel. 2.Exactly one pair of opposite sides of an isosceles trapezoid are congruent. 3.The angles on either side of the bases are congruent 4.The diagonals are congruent.
  • 11. 1. The bases of an isosceles trapezoid are parallel. AB is parallel to CD
  • 12. 2. Exactly one pair of opposite sides of an isosceles trapezoid are congruent. AD BC≅
  • 13. 3. The angles on either side of the bases are congruent LA LB LD LC ≅ ≅