8.4 Notes Revised.notebook
Section 8.4 Properties of Rhombuses, Rectangles, & Squares
Goal: Use properties of rhombuses, rectangles, and squares.
8.4 Notes Revised.notebook
Rhombus
Description
Diagram
Four congruent sides
Rectangle
Square
Four 90 degree angles Four 90 and four degree angles
congruent sides
8.4 Notes Revised.notebook
Venn Diagram of Parallelograms
(Opposite sides are parallel)
RECTANGLES
RHOMBUSES
4 Congruent Sides
SQUARES
4 90­degree Angles
8.4 Notes Revised.notebook
Example 1: For any rhombus RSTV, decide whether the statement is always or sometimes true. Draw a sketch and explain your reasoning.
a. ÐS ≅ ÐV b. ÐT ≅ ÐV
8.4 Notes Revised.notebook
Checkpoint
1. For any square CDEF, decide whether the statement is true that Explain your reasoning.
2. A quadrilateral has four congruent sides & four congruent angles. Classify the quadrilateral.
8.4 Notes Revised.notebook
Parallelogram
Description
Rhombus
Diagonals are perpendicular
Rhombus
Diagonals are angle bisectors
Rectangle
Diagonals are congruent
Picture
8.4 Notes Revised.notebook
Example 2: Classify the parallelogram. Explain your reasoning.
a.
b.
8.4 Notes Revised.notebook
Example 3: The diagonals of rectangle PQRS interesect at T. Given that and , find the indicated measure.
P
Q
a.
R
b.
T
S
c.
d.
8.4 Notes Revised.notebook
Checkpoint
3. The diagonals of square EFGH intersect at J. Given that GJ = 15, find the indicated measures.
E
F
J
a.
15
b.
H
G
c.
d.
8.4 Notes Revised.notebook