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6.4 – Properties of Special Parallelograms DAY 2

6.4 – Properties of Special Parallelograms DAY 2. A ___________________ is a quadrilateral with four right angles. A rectangle has the following properties . Since a rectangle is a parallelogram, a rectangle also has all the properties of parallelograms .

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6.4 – Properties of Special Parallelograms DAY 2

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  1. 6.4 – Properties of Special Parallelograms DAY 2 A ___________________is a quadrilateral with four right angles. A rectangle has the following properties. Since a rectangle is a parallelogram, a rectangle also has all the properties of parallelograms.

  2. A __________________is a quadrilateral with four congruent sides. A rhombus has the following properties. Since a rhombus is a parallelogram, a rhombus also has all the properties of parallelograms.

  3. A __________ is a parallelogram with 4 ______________ sides and 4 __________ angles.

  4. The vertices of square ABCD are A(1, 0), B(4, 5), C(1, 8), and D(4, 3). Show that each of the following is true. Ex 1.The diagonals are congruent. Ex 2.The diagonals are perpendicular bisectors of each other.

  5. Ex 3: Show that the diagonals of square EFGH are congruentperpendicularbisectors of each other. In order to do this we are going to have to use the distance formula, slope, and midpoint.

  6. The converses of these theorems also prove that these parallelograms are THOSE specific rhombi, rectangles, and squares.

  7. CW/HW: p.412 #14-16, 18-23, 35 (you do not get credit for #35 unless you write the entire thing, then fill in the blanks!)

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