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Special Quadrilaterals

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Presentation on theme: "Special Quadrilaterals"— Presentation transcript:

1 Special Quadrilaterals
Properties of Special Quadrilaterals If a quadrilateral is a parallelogram, Opp. Sides are __________ Opp. Sides are ________ Opp. Angles are ________ Consecutive Angles are ________ Diagonals _______ each other It has four ______ angles It has all properties of a __________ It has __ diagonals If a quadrilateral is a rectangle, It has all properties of a __________ Diagonals _____ opp. ____ It has four ______ sides If a quadrilateral is a rhombus, It has diagonals It has all properties of a __________ It has all properties of a __________ If a quadrilateral is a square, 1

2 Proving that a Quadrilateral is a Parallelogram, Rectangle, Rhombus, or Square
If a quad. has both pairs of opp. sides ____, If a quad. has one pair of opp. sides ___ & ___ If a quad. has both pairs of opp. sides ____, If one angle of a quad. is _______ to both of its consecutive angles, If a quad. has both pairs of opp. angles ____, then it is a parallelogram If the diagonals of a quad. _______ each other, If a parallelogram has _______ diagonals One _____ angle One diagonal that _______ a pair of _____ angles One pair of congruent _________ sides _________ diagonals then it is a rectangle then it is a rhombus then it is a square 2

3 Properties of Trapezoids and Kites
Quad. with exactly ___ pair of _______sides ______ diagonals ______ legs ___ pairs of ______ base angles The midsegment of a trapezoid is ______ to each base, and its length is ½ the ____ of the lengths of the bases. Exactly __ pairs of ______ consecutive sides Exactly ___ pair of ______ opp. angles ___ diagonals 3

4 Distance, Midpoint, and Slope
Distance between 2 points -Use the Pythagorean Thm Midpoint (average x, average y) ( (7+1)/2, (9+1)/2 ) y (3, 6) rise = = 5 units run = = 2 units (1, 1) x 4


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