Trapezoids, Kites, and Isosceles Shapes
This content delves into the properties of trapezoids, kites, and isosceles shapes in plane geometry. Learn about their defining features, relationships between sides and angles, and solve examples to enhance your understanding.
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Presentation Transcript
Unit 6 Unit 6- -4 4 Trapezoids and Kites Trapezoids and Kites PLANE GEOMETRY PLANE GEOMETRY
Trapezoid: A Quadrilateral with Exactly One Pair of Parallel Sides BASE ? ? LEG LEG ? ? BASE
Isosceles Trapezoid: A Trapezoid in which the Legs are Congruent. BASE ? ? LEG LEG ? ? BASE
If a Trapezoid is Isosceles, then Each Pair of Base Angles is Congruent. ? ? ? ?
Example 1: Given an Isosceles Trapezoid, find the Missing Measures. ? ? ? ? ?? ? ? ?
Example 2: Given an Isosceles Trapezoid, Find x. ? ? ?? + ?? ?? + ?? ? ?
If a Trapezoid is Isosceles, then its Diagonals are Congruent. ? ? ? ? ?? ??
Example 3: Find x in the Isosceles Trapezoid. ? MP = 3x + 4 LN = 2x + 5 ? ? ?
Kite: A Quadrilateral with Exactly Two Pairs of Consecutive Sides Opposite Sides are Not Congruent or Parallel ? ? ? ?
Kite: If a Quadrilateral is a Kite, then its Diagonals are Perpendicular. ? ? ? ?
Kite: If a Quadrilateral is a Kite, then Exactly One Pair of Opposite Angles is Congruent. ? ? ? ?
Example 4: Find the Measures of the Missing Angles.
Example 5: Find the Measures of the Missing Angles. ? ? ? ? ??? ?? ? ?
Example 6: Find the Measures of the Missing Angles. ? ?? ? ? ? 8? ? ?
Example 7: Find the value of x and y. ? ?? + ?? ?? ? ? ? ?? ? + ?? ?
