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There are three special types of quadrilaterals Parallelograms There are three special types of quadrilaterals Parallelograms There are three special types of quadrilaterals Parallelograms There are three special types of quadrilaterals Trapezoids Parallelograms There are three special types of quadrilaterals Trapezoids Parallelograms There are three special types of quadrilaterals Trapezoid Kites Parallelograms There are three special types of quadrilaterals Trapezoid Kites Parallelograms ? Trapezoid ? Kites ? A trapezoid is a quadrilateral A trapezoid is a quadrilateral which has only two sides parallel A trapezoid is a quadrilateral which has only two sides parallel A trapezoid is a quadrilateral which has only two sides parallel A trapezoid is a quadrilateral which has only two sides parallel A trapezoid is a quadrilateral which has only two sides parallel Is this a trapezoid? yes ? no ? A trapezoid has a couple special properties. A trapezoid has a couple special properties. because a pair of lines are parallel A trapezoid has a couple special properties. because a pair of lines are parallel A trapezoid has a couple special properties. same side interior angles (bracket) add to 180 because a pair of lines are parallel A trapezoid has a couple special properties. same side interior angles (bracket) add to 180 because a pair of lines are parallel A trapezoid has a couple special properties. same side interior angles (bracket) add to 180 because a pair of lines are parallel 70 The median of a trapezoid The median of a trapezoid connects the two midpoints of the NON-PARALLEL sides midpoint The median of a trapezoid connects the two midpoints of the NON-PARALLEL sides The median of a trapezoid connects the two midpoints of the NON-PARALLEL midpoint sides The median of a trapezoid connects the two midpoints of the NON-PARALLEL median sides The median of a trapezoid The median of a trapezoid can also be called the connects the two midpoints of the NON-PARALLEL midsegment sides Median of a trapezoid is also called Mean Midsegment Mode Middle Earth The median is parallel to the other two sides The median is parallel to the other two sides The median is parallel to the other two sides and is the average of those two sides The median is parallel to the other two sides and is the average of those two sides 5 The median is parallel to the other two sides and is the average of those to sides 5 9 The median is parallel to the other two sides and is the average of those to sides 5 5 9 The median is parallel to the other two sides and is the average of those to sides 5 + 5 9 The median is parallel to the other two sides and is the average of those to sides 5 + 9 5 9 The median is parallel to the other two sides and is the average of those to sides 5 + 9 = 14 5 9 The median is parallel to the other two sides and is the average of those to sides 5 + 9 = 14 ÷ 5 9 The median is parallel to the other two sides and is the average of those to sides 5 + 9 = 14 ÷ 2 5 9 The median is parallel to the other two sides and is the average of those to sides 5 + 9 = 14 ÷ 2 = 7 5 9 The median is parallel to the other two sides and is the average of those to sides 5 + 9 = 14 ÷ 2 = 7 5 9 7 8 12 An isosceles trapezoid is a special trapezoid An isosceles trapezoid is a special trapezoid An isosceles trapezoid is a special trapezoid where the NON-PARALLEL sides are equal An isosceles trapezoid is a special trapezoid where the NON-PARALLEL sides are equal Isosceles Trapezoid has which sides equal Parallel sides Non-parallel sides In an isosceles trapezoid In an isosceles trapezoid In an isosceles trapezoid the base angles are congruent In an isosceles trapezoid the base angles are congruent In an isosceles trapezoid the base angles are congruent 70 110 Also, in an isosceles trapezoid Also, in an isosceles trapezoid Also, in an isosceles trapezoid the diagonals are congruent Also, in an isosceles trapezoid the diagonals are congruent C A Also, in an isosceles trapezoid the diagonals are congruent C D A B Also, in an isosceles trapezoid the diagonals are congruent C D AC ≅ BD A B C AC = x + 5 BD = 15 D A x = B The other special quadrilateral is the kite The other special quadrilateral is the kite The other special quadrilateral is the kite which has two pairs of adjacent sides congruent The other special quadrilateral is the kite which has two pairs of adjacent sides congruent The other special quadrilateral is the kite which has two pairs of adjacent sides congruent 13 5 Kites have several special properties Kites have several special properties Kites have several special properties the 'wing' angles are congruent Kites have several special properties the 'wing' angles are congruent 110 Kites have several special properties the 'wing' angles are congruent the diagonal bisects the non-'wing' angles Kites have several special properties the 'wing' angles are congruent the diagonal bisects the non-'wing' angles Kites have several special properties the 'wing' angles are congruent the diagonal bisects the non-'wing' angles Kites have several special properties the 'wing' angles are congruent the diagonal bisects the non-'wing' angles 1 A 2 Angle 2 = Angle A = 80ο Angle 1 = ο ο Kites have several special properties the 'wing' angles are congruent the diagonal bisects the non-'wing' angles this diagonal also bisects the other diagonal Kites have several special properties the 'wing' angles are congruent the diagonal bisects the non-'wing' angles this diagonal also bisects the other diagonal Kites have several special properties the 'wing' angles are congruent the diagonal bisects the non-'wing' angles this diagonal also bisects the other diagonal B E D BD = 8 ED = BE = Kites have several special properties the 'wing' angles are congruent the diagonal bisects the non-'wing' angles this diagonal also bisects the other diagonal the diagonals are perpendicular Kites have several special properties the 'wing' angles are congruent the diagonal bisects the non-'wing' angles this diagonal also bisects the other diagonal the diagonals are perpendicular |