Bellwork Solve for x
5x+3
3x+1
26
No Clickers
Bellwork Solution Solve for x
5x+3
3x+1
26
IDENTIFY SPECIAL QUADRILATERALS
Section 8.6
CHAPTER TEST ON FRIDAY
The Concept Today we’re going to be looking at the whole of our
quadrilaterals to help delineate between them This process will aid in our understanding of the
nuances between all three of them
The Dreaded Graphic Organizer Yesterday we talked about how quadrilaterals are
grouped…we found them to look like…
Quadrilaterals
Parallelograms
Rhombuses Rectangles
Squares
Kites
Trapezoids
IsoscelesTrapezoids
RightTrapezoids
Based on our pictureWhich quadrilaterals1. Have at least one
pair of congruent sides?
2. Have diagonals that are perpendicular
3. Are equilateral and equiangular4. Have congruent consecutive angles5. Have four sides6. Has congruent diagonals7. Has diagonals that bisect each other
Quadrilaterals
Parallelograms
Rhombuses Rectangles
Squares
Kites
Trapezoids
IsoscelesTrapezoids
RightTrapezoids
NamingKnowing the various properties of a quadrilateral is invaluable when faced with
the task of identifying or naming a quadrilateralFor example:
What is the name of this object?
NamingWhat is the name of this object?
NamingWhat is the name of this object?
Because we don’t know if
these are right angles, we
cannot call it a rectangle
NamingWhat is the name of this object?
Both a Rhombus and a Kite have perpendicular
diagonals, but we don’t know
anything else about this object
NamingDo we have enough information to say that this object is a
Rhombus?
55o
15
15
15
15
125o
55o
Homework
8.613-16, 18-20, 23, 26-28, 36
Practical ExampleWhat quadrilateral is shown below
56o
56o
24”
24”
Practical ExampleExplain why a parallelogram with one right angle must be a
rectangle?
Most Important Points Delineation of properties of
quadrilaterals Using properties to name objects
Question Practice Four limbs Eyes on the side of their head Large ears Quadripodal motion A mostly vegetarian diet Large Feet that also aid in swimming Very wrinkled rough skin An extended large snout
Question #1 A set of congruent opposite angles Bisected Diagonals No right angles Perpendicular Diagonals Equilateral
Question #2 A set of sides of equal length Diagonals that serve as angle bisectors Supplementary consecutive angles Two sets of parallel sides Congruent diagonals
Question #3 Two short sides and two long sides A set of congruent opposite angles A set of sides of equal length Perpendicular diagonals No sides parallel
Question #4 Two short sides and two long sides Two sets of supplementary consecutive angles A set of parallel sides A 90o angle Not equilateral Not equiangular