Trapezoids Sec: 8.6 Sol: G.8 a, b, c Foldable QUADRILATERALS Trapezoid * Fold over the fourth cut section and write Trapeziod on the outside. QUADRILATERALS.

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Trapezoids Sec: 8.6 Sol: G.8 a, b, c

Foldable QUADRILATERALS Trapezoid * Fold over the fourth cut section and write Trapeziod on the outside. QUADRILATERALS 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. * Reopen the fold. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles 1. Is a parallelogram, rectangle, and rhombus 2. 4 congruent sides and 4 congruent (right) angles Trapezoid

Foldable QUADRILATERALS * On the left hand section, draw a trapezoid. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. * On the right hand side, list all of the properties of a trapezoid. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles 1. Is a parallelogram, rectangle, and rhombus 2. 4 congruent sides and 4 congruent (right) angles 1. Is a quadrilateral with exactly one pair of parallel sides. 2. There are two pairs of bases angles. 1.

one A trapezoid is a quadrilateral with exactly __________ pair of _____________________ sides. Example: The parallel sides are called _______________. The nonparallel sides are called ________________. In a trapezoid there are two pairs of _________________ angles. parallel In a trapezoid, ONLY one pair of opposite sides can be parallel. If both pairs of opposite sides are parallel, the quadrilateral is a ________parallelogram_____. Bases Legs Base

Base Leg Leg Base Angles Base

If the legs of a trapezoid are congruent, then the trapezoid is an _________ trapezoid. Example: Isosceles According to the property above, which two sides are congruent? ________ and ________ Label the picture appropriately.

Theorem 8.18 : Both pairs of base angles of an isosceles trapezoid are Congruent. Theorem 8.19 : The diagonals of an isosceles trapezoid are Congruent. According to the property above, which two pairs of angles are congruent? ________ ________ Label the picture appropriately. According to the property above, which two segments are congruent? ________  ________

Median The _________ of a trapezoid is the segment that joins the midpoints of its legs. Theorem 8.20 : The median of a trapezoid is Parallel to the bases, and its measure is one-half the sum of the measures of the Bases. According to the statement above, if RM is the median, which segments are congruent to each other? ________  ________

Suggested Assignments: Classwork: Handouts Homework: pg 442 13-19 all 39