What do you remember List all the quadrilaterals

What do you remember? List all the quadrilaterals that have: A) all sides congruent B) opposite sides congruent C) diagonals perpendicular D) diagonals congruent E) consecutive angles supplementary F) all angles are right angles G) diagonals bisect the opposite angles

6 -6 Trapezoids and Kites Rigor: Correctly identify and use properties of trapezoids and kites Relevance: Design

Trapezoids & Isosceles Trapezoids n Definition of a Trapezoid – a quadrilateral with exactly 1 pair of parallel sides n Definition of an Isosceles Trapezoid – a trapezoid with congruent legs

Isosceles Trapezoid Theorems n Theorem – each pair of base angles of an isosceles trapezoid is congruent n Theorem – the diagonals of an isosceles trapezoid are congruent.

Kites n Definition – A quadrilateral with 2 pairs of consecutive sides congruent and no opposite sides congruent n Theorem – The diagonals of a kite are ┴. n Theorem – One diagonal of a kite is a line of symmetry and therefore bisects the kite.

EX 1: Trapezoids a) Calculate the measure of each angle of the isosceles trapezoid. b) What is the length of each diagonal if QS =7 x - 5, & RP =3 x +11

EX 2: For kite KLMN, calculate the measures of the numbered angles.

EX 3: Constructing a Kite Kat is using a pattern to make a kite to fly outside. To finish the kite, she is putting a binding around the outer edge. What is the perimeter of the kite (round to the nearest hundredth)? If the binding is sold in 2 yd packages, how many packages must she buy?

Trapezoid Midsegment Theorem The midsegment of a trapezoid is the segment connecting the midpoints of the legs n Theorem – The midsegment of a trapezoid is parallel to each base, and its length is ½ the sum of the lengths of the bases. n

EX 4: Calculate WX and AB.

Summary of quadrilaterals (put this on the back of your toolkit)

6 -6 Classwork: n Textbook pg 444 – 445 #3 – 12

Honors: 6 -6 Assignments n Primary Assignment: Due ¨ Website: join. quizizz. com ¨ Codes: n n Period 2: Period 4: Period 6: Secondary Assignment: ¨ Textbook 34, 35 445 – 446 #13, 20 – 22, 27 – 29,

Standard: 6 -6 Assignments n Primary Assignment: Due ¨ Website: join. quizizz. com ¨ Codes: n n Period 1: Period 5: Period 7: Secondary Assignment: ¨ Textbook 445 – 446 #13, 20 – 22, 27 – 29, 34, 35