Kites & Trapezoids Objective: Discover properties about kites & trapezoids.

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Objective: Discover properties about kites & trapezoids
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Presentation transcript:

Kites & Trapezoids Objective: Discover properties about kites & trapezoids

Kite: 1. Construct a kite. 2. Label the vertex angles K and T Label non-vertex angles I and E 3. Measure and compare all angles 4. Draw the diagonals 5. Look for any relationships (hint: there are 3 different relationships to find.) A quadrilateral with exactly two distinct pairs of congruent consecutive sides. Vertex angles E I K T Kite Angles Conjecture The __________ angles of a kite are __________. nonvertex congruent Kite Diagonals Conjecture The diagonals of a kite are ______________. perpendicular Kite Diagonal Bisector Conjecture The diagonal connecting the vertex angles of a kite is the _____________________ of the other diagonal. perpendicular bisector Kite Angle Bisector Conjecture The _______ angles of a kite are ________ by a ________. vertex bisected diagonal.

Kite Angle Bisector Conjecture The _______ angles of a kite are ________ by a ________. Kite Angles Conjecture The __________ angles of a kite are __________. Kite Diagonals Conjecture The diagonals of a kite are ______________. Kite Diagonal Bisector Conjecture The diagonal connecting the vertex angles of a kite is the _____________________ of the other diagonal. nonvertex congruent perpendicular perpendicular bisector vertex bisected diagonal.

Trapezoid: 1.Draw and label trapezoid TRAP 2.Measure and compare the angles AnglesSum T + R R + A A + P P + T Trapezoid Consecutive Angles Conjecture The consecutive angles between the bases of a trapezoid are ______________. A quadrilateral with exactly one pair of parallel sides. TR AP Pair of base angles Bases supplementary

Pg 269 #1,2,5,7,10