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Published byEvan Bridges Modified over 8 years ago

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Review & Trapezoids

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Properties of a Parallelogram A BC D 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent. 5. Diagonals bisect each other 4. Consecutive angles are supplementary YES, we’re going to review again, & again, & again…

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Properties of a Rhombus ABCD 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent. 5. Diagonals bisect each other 4. Consecutive angles are supplementary 6. 4 congruent sides 7. Diagonals of a rhombus bisect the angles 8. Diagonals of a rhombus are perpendicular (bisectors)

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Properties of a Rectangle 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent. 5. Diagonals bisect each other 4. Consecutive angles are supplementary 6. 4 congruent sides 7. Diagonals of a rhombus bisect the angles 8. Diagonals of a rhombus are perpendicular (bisectors) 9. 4 right angles 10. Diagonals are congruent

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Properties of a Square 1. Opposite sides are parallel. 2 Opposite sides are congruent. 3. Opposite angles are congruent. 5. Diagonals bisect each other 4. Consecutive angles are supplementary 6. 4 congruent sides 7. Diagonals of a rhombus bisect the angles 8. Diagonals of a rhombus are perpendicular (bisectors) 9. 4 right angles 10. Diagonals are congruent It has it ALL!!!

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Practice with squares A B CD BX= AX = DB = AC = 8.5 17 AB= BC= 12 X DX = 8.5 m AXB= m XAB=90 45

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And now…Properties of Trapezoids

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Definition of a Trapezoid- exactly one pair of parallel sides OR A quadrilateral with:

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Definition of a Trapezoid- Parallel sides are called BASES base leg Other nonparallel sides are called LEGS

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Definition of an ISOSCELES Trapezoid- A trapezoid with Congruent legs base leg AND Congruent base angles

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Name the following for trapezoid RSTW R S WT THE BASES: THE LEGS: ONE PAIR OF BASE ANGLES R & S ; or T & W

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Median of a Trapezoid A M D B N C 6 14 10 The median of any trapezoid is parallel to the bases The median is equal to half the SUM of the base lengths A median (MN) is a segment connecting the midpoints of the legs MN = 10 > > (sum of bases) (half of sum)

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Examples – find the length of the median 5 19 11-x 21+x 10 5 3 3 4 4 12 16 7.5

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EF= m 1= m 2= m 3= m 4= m 5= 2 78 3 130 4 5 1 15 9 A B C D E F 12 50 102 78 50 130 Isosceles trapezoid? Corr s Base s Same Side interior - supplementary Corr s Same Side interior - supplementary

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EF= m 1= m 2= m 3= m 4= m 5= 2 51 3 4 4 5 1 11 6 E F J K L M 16 51 129 51 129 51 Isosceles trapezoid?

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