7.1 Classifying Quadrilaterals
Learning Objective: to identify quads by using their properties,
recognizing the relationships between the diagonals and to
use their properties in real-world applications
Warm-up (IN)
True or False. If false, give a reason why.
1. A square is a regular parallelogram. T
2. A rhombus is an equilateral parallelogram. T
3. A parallelogram is a trapezoid. F
T
4. A rectangle is an equiangular parallelogram.
5. If 2 lines are perpendicular, the product of
their slopes is 1. F
Learning Objective: to identify quads by using their properties, recognizing the
relationships between the diagonals and to use their properties in real-world applications
Notes
Name all of the types of quadrilaterals!
Hint…there
should be 6!
Kite – A quad with 2 pairs of consecutive congruent sides
Ex 1 – Create a Venn Diagram using all 6 terms (include a
sketch of each shape)
Quads
trapezoid
Kite
parallelogram
rectangle
square
rhombus
Learning Objective: to identify quads by using their properties, recognizing the
relationships between the diagonals and to use their properties in real-world applications
Diagonals of a rhombus –
Are perpendicular
Diagonals of a rectangle –
Are congruent
Learning Objective: to identify quads by using their properties, recognizing the
relationships between the diagonals and to use their properties in real-world applications
In a kite –
One diagonal is a line of
symmetry
And it bisects the other
diagonal perpendicularly
Ex 1 – Given the kite with SR  SP, PR=9 units and SR=6
units. Find SL.
1
1
S
LR   PR    9   4.5
R
L
P
2
2
SL  LR  SR
2
2
2
SL  4.5  6
SL2  20.25  36
2
M
2
2
SL2  15.75
SL  3.97
Out – The diagonals of a convex quadrilateral form 4
triangles. In which quadrilaterals are the triangles right?
Isosceles? Congruent? Explain!
Summary – Today, I think…
POW!!
HW – p.
343 #6-9,
13-20