6.4 - Properties of Rhombuses, Rectangles, and Squares ...
Post on 05-Apr-2023
0 Views
Preview:
Transcript
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
1
February 11, 2015
2/11: Warm Up
Find the value of the variable(s) that make the quadrilateral a parallelogram.
1.2.
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
2
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.
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
4
February 11, 2015
Ex 1). Is parallelogram FGHJ a rhombus, a rectangle, or a square? Explain.
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
5
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
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
6
February 11, 2015
Ex 3). Decide whether the parallelogram is a rhombus, rectangle, or square. Explain.
a)
b)
c)
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
7
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.
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
8
February 11, 2015
Ex 4). What are the measures of the numbered angles in the rhombus?
a)
b)
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
9
February 11, 2015
More on Rectangles:
If a parallelogram is a rectangle, then its
diagonals are ______________.
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
10
February 11, 2015
Ex 5). In rectangle MNOP, PN = 7x – 8 and MO = 4x + 10. What is the length of PN?
6.4 Properties of Rhombuses, Rectangles, and Squares.notebook
11
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) FridayMathXL due Friday
top related