6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
2/11: Warm Up
Find the value of the variable(s) that make the quadrilateral a parallelogram.
2. 1.
1 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
6.4: Properties of Rhombus, Rectangles, and Squares Date: 2/11
Special Parallelograms:
A ______is a parallelogram with ______sides.
A ______is a parallelogram with ______angles.
A ______is a parallelogram with ______sides and ______angles.
2 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
3 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
Ex 1). Is parallelogram FGHJ a rhombus, a rectangle, or a square? Explain.
4 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
Ex 2). List the quadrilaterals that have the given property. Choose among parallelogram, rhombus, rectangle, and square. a) Opposite angles are supplementary
b) Consecutive sides are congruent
c) Consecutive sides are perpendicular
d) Consecutive angles are congruent
5 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
Ex 3). Decide whether the parallelogram is a rhombus, rectangle, or square. Explain. a)
b)
c)
6 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
More on Rhombuses:
Theorem 613: If a parallelogram is a rhombus, then its diagonals are ______.
Theorem 614: If a parallelogram is a rhombus, then each diagonal ______a pair of opposite angles.
7 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
Ex 4). What are the measures of the numbered angles in the rhombus? a)
b)
8 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
More on Rectangles: If a parallelogram is a rectangle, then its diagonals are ______.
9 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
Ex 5). In rectangle MNOP, PN = 7x – 8 and MO = 4x + 10. What is the length of PN?
10 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
FYI: Everything that is true for rhombuses and rectangles is true for a square!
Homework: pg. 400 #1 – 4, 9 – 23, 24 – 32(e), 34, 35
Quiz #1 (6.1 6.4) Friday MathXL due Friday
11 6.4 Properties of Rhombuses, Rectangles, and Squares.notebook February 11, 2015
Graphic Organizer: Due: Wednesday 2/25
Name all quadrilaterals Draw arrows vertically Draw all diagonals Label/mark all things true about each quadrilateral
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