 Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites.

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Presentation transcript:

 Parallelograms Parallelograms  Rectangles Rectangles  Rhombi Rhombi  Squares Squares  Trapezoids Trapezoids  Kites Kites

A D B C Definition: Opposite Sides are parallel.

A D B C Opposite sides are congruent.

A D B C Opposite angles are congruent.

A D B C Consecutive Angles are supplementary.

A D B C Diagonals bisect each other. M

A D B C M

Show the Definition: WZ Y X

= 180 Alternate Exterior Angles congruent Corresponding Angles congruent Consecutive Angles supplementary Alternate Interior Angles congruent 2 lines perpendicular to the same line

Show BOTH pairs of Opposite Sides are congruent: WZ Y X

Show BOTH pairs of Opposite ANGLES are congruent: WZ Y X

Show ONE angle is supplementary to each of its consecutive angles: WZ YX  X is supplementary to  Y and  W. a + b = 180

Show that Diagonals Bisect Each Other: WZ Y X M

Show that ONE pair of sides is BOTH PARALLEL & CONGRUENT: WZ Y X

a + b = 180

A D B C Definition: Quadrilateral with Four right angles. Diagonals are congruent. M

A D B C 1 Definition: Quadrilateral with Four congruent sides. Diagonals are perpendicular. M Diagonals bisect opposite angles

A D B C Definition: It’s a Rectangle Rhombus M Rectangle& a Rhombus

Definition: Quadrilateral with exactly one pair of parallel sides. Bases are parallel. A D B C  A &  D are supp. and  B &  C are supp.

Midsegment: Segment that joins the midpoints of the legs of a trapezoid. XY is the midsegment. A D B C Midsegment is ll to bases and ½ measure of the sum of bases. XY

Definition: Trapezoid that has congruent legs. Legs are congruent. A D B C  A   B and  D   C. Each pair of Base angles are congruent. Diagonals are congruent:

Definition: Quadrilateral that has Two pair of congruent Adjacent sides and no opposite sides congruent. Diagonals are . B C D A One pair of opposite Angles are congruent.

B C D A One diagonal bisects the other. Pythagorean Theorem is often used to find measures.