5. Trapezoid: Exactly one pair of parallel sides. 6. Isosceles Trapezoid is a trapezoid where the non-parallel sides are equal.

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1 Quadrilaterals page #1 Five common types of quadrilaterals are defined below: Mark each picture: 1. Parallelogram: oth pairs of opposite sides parallel. 2. Rectangle: Four right angles. 3. Rhombus: Four equal sides. 4. Square: Four equal sides and four right angles. 5. Trapezoid: xactly one pair of parallel sides. 6. Isosceles Trapezoid is a trapezoid where the non-parallel sides are equal.

2 Properties of Quadrilaterals: Quadrilaterals page #2 1. In a parallelogram,. The opposite sides are parallel and equal.. The opposite angles are equal and the consecutive angles are supplementary. Mark the parallelogram below with these properties.! =!! +! = 180! =!! +! = 180! +! = 180! +! = In a rectangle,. The opposite sides are parallel and equal.. ll four angles are right angles. Mark the rectangle below with these properties. 3. In a rhombus,. ll four sides are equal and the opposite sides are parallel.. The opposite angles are equal and the consecutive angles are supplementary. Mark the rhombus below with these properties.

3 4. In a square,. ll four sides are equal and the opposite sides are parallel.. ll four angles are right angles. Mark the square below with these properties. Quadrilaterals page #3 5. In a trapezoid,. xactly one pair of opposite sides is parallel.. xactly two pairs of consecutive angles are supplementary. Mark the trapezoid below with these properties. 6. In an isosceles trapezoid,. xactly one pair of opposite sides is parallel.. xactly two pairs of consecutive angles are supplementary.. The non-parallel sides are equal.. The base angles are equal.

4 Properties of iagonals: Quadrilaterals page #4 1. iagonals that bisect each other: iagonals that are equal: iagonals that are perpendicular:.. Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Isosceles Trapezoid: =

5 Tree of Quadrilaterals: Quadrilaterals page #5 Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Isosceles Trapezoid Square

6 Problems: Quadrilaterals page #6 1. Name the quadrilateral which make the statement true.. In every,,, and the diagonals bisect each other.. In every and the diagonals are equal.. In every the diagonals are equal and perpendicular.. In every and the diagonals are perpendicular. 2. In a rectangle,. The opposite sides are both and.. The diagonals are to each other but are not necessarily to each other.. The diagonals each other.. The angles are all angles.. rectangle is also a. 3. In a rhombus,. ll four sides are and the opposite sides are.. The diagonals are to each other and they each other, but they are not always to each other.. rhombus is also a.

7 4. In a square, Quadrilaterals page #7. ll four sides are and the opposite sides are.. ll four angles are angles.. The diagonals are both and to each other.. The diagonals also each other.. square is also a, a and a. 5.. Find the coordinates of P, Q, R and S. P( ) Q( ) R( ) S( ) R S Q P. Find the slope of PS Find the slope of QR Notice that the slopes are equal so the lines are parallel.. Now, use slopes to show that PQ and RS are also parallel.. Use your protractor to measure angle P and angle S.!P =!S =. What is the sum of the measures of all four angles in the parallelogram? (You don t need to measure angles Q and R to answer this question.)

8 Quadrilaterals page #8 6.. Plot these points on the graph below: (-1,-3), (6,-3), (9,1) and (2,1).. onnect the four points to form a parallelogram.. Find the length of each side of the parallelogram, and notice that opposite sides have the same length. = = = =. raw in diagonals and and find the point where they intersect. all this point.. Find the length of and. = = re the diagonals equal?

9 7. nswer yes or no: Quadrilaterals page #9. Must the diagonals of a rectangle be perpendicular?. re the opposite angles of a rhombus always equal?. re all squares rhombuses?. re some trapezoids parallelograms?. May a rectangle have four equal sides? F. re there some rectangles that are also rhombuses? G. oes the diagonal of a rectangle divide it into two congruent triangles? H. Must a quadrilateral with four equal sides be a square? I. Must a parallelogram with a right angle be a rectangle? J. May a trapezoid have two right angles? K. May a trapezoid have three right angles? L. Must the diagonals of a rhombus be equal? M. May a trapezoid have three equal sides? N. Must the diagonals of a rhombus be perpendicular?

10 8. Given quadrilateral FGH. Quadrilaterals page #10 H 7x x + 5 G. Find x. 4x x + 10 F. xplain why FGH is or is not a parallelogram. (o not measure.) 9. The figure below is a parallelogram, so the opposite sides are equal. Find x and the perimeter. 4x x + 22 x = Perimeter: 10. Refer to the sketches below. If and =, does it follow that: !1 =!3.!2 =!4. is a parallelogram..! is the supplement of!.

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