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Warm up is on the back table. Please get one and start working ♥

Warm up is on the back table. Please get one and start working ♥. We’re going to . 6.3 Proving Parallelograms . and. 6.4 Rectangles, Rhombi and Squares. together. 5 pieces of cool information about parallelograms.

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Warm up is on the back table. Please get one and start working ♥

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  1. Warm up is on the back table. Please get one and start working ♥

  2. We’re going to 6.3 Proving Parallelograms and 6.4 Rectangles, Rhombi and Squares together

  3. 5 pieces of cool information about parallelograms 1. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. 3. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. 2. If one pair of opposite sides of a quadrilateral is parallel AND congruent, then the quadrilateral is a parallelogram. 5. If opposite angles are congruent, then the quadrilateral is a parallelogram. 4. If both pairs of opposite sides are parallel, then the quadrilateral is a parallelogram.

  4. If any of these situations exist you can prove you have a parallelogram

  5. Rhombuses, rectangles, and squares • are parallelograms so they have the same characteristics • PLUS • RHOMBUS • Four congruent sides. • The diagonals are perpendicular. • The diagonals bisect a pair of opposite angles. • RECTANGLE • Four right angles. • The diagonals are congruent. • SQUARE • Has all the characteristics of a rectangle and a rhombus

  6. Here is a Venn diagram to help you see the relationships.

  7. Decide whether the parallelogram is a • rhombus • rectangle • square

  8. List the quadrilaterals that have the given property. Choose among • parallelogram • rhombus • rectangle • square • Opposite angles are supplementary. • Consecutive sides are . • Consecutive sides are . • Consecutive angles are .

  9. Determine the measure of the numbered angles in rhombusDEFG.

  10. Determine the measure of the numbered angles in each figure. rectangle ABCD square LMNO

  11. Algebra TUVW is a rectangle. Find the value of x and the length of each diagonal. TV = 3x and UW = 5x  10 2. TV = 2x  4 and UW = x + 10 3. TV = 6x + 4 and UW = 4x + 8

  12. Your assignment is: 6-3 and 6-4 worksheets

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