November 11, 2015
NOPE ON THE QUIZZES...
Did you take it?
TURN IN:
Staple these
*HW 5.1
together!
*HW 5.2
*HW 5.3
*Blue Review Sheet (NO BIG BLUE YET)
*Extra Credit Set #6 Due Friday
*AMC - Math Competition (Tuesday, Feb. 2nd)
5.4: Four-Sided Polygons (Quadrilaterals Galore!)
DEF: Polygon: Closed figure made up of three or more coplanar
segments that only intersect at endpoints (vertices). Each side only
intersects two other sides at endpoints.
Which are polygons?
November 11, 2015
SLIGHT CHANGE IN SCHEDULE
Today:
Thurs:
Fri:
Mon:
Tues:
Wed:
Thurs:
Fri:
Mon:
HW 5.4
HW 5.5 Day 1
HW 5.5 Day 2
HW 5.6 (Notecard Due!)
HW 5.7 Day 1 (PROPS. QUIZ)
HW 5.7 Day 2
Review Day
TEST CH 5 PART I
TEST CH 5 PART II
DEF: Diagonal: Segment connecting two non-adjacent vertices
Name the diagonal below and list all diagonals.
November 11, 2015
CONVEX vs. CONCAVE POLYGONS
Convex
Concave
A
side
extended passes
Each interior angle is
through the interior.
less than 180 degrees.
A side extended does not
pass through the interior.
Examples:
Examples:
TYPES OF FOUR-SIDED POLYGONS
Quadrilateral: Any four-sided polygon (By the way, what do you think
the angles of any quadrilateral add up to?)
Parallelogram: Quad. with both pairs of opposite sides parallel
November 11, 2015
Rectangle: Parallelogram with at least one right angle (What
definition are you used to???)
Rhombus: Parallelogram with at least two consecutive sides
congruent (What definition are you used to???)
Square: Parallelogram that is a rectangle and a rhombus (4 right
angles and 4 congruent sides)
Trapezoid: Quad. with exactly one pair of opposite sides parallel
November 11, 2015
Isosceles Trapezoid: Trapezoid with two non-parallel sides
congruent (legs).
Kite: Quadrilateral with two disjoint pairs of consecutive sides
congruent
Always, Sometimes, or Never:
a)
b)
c)
d)
e)
f)
g)
A square is a rectangle.
A rectangle is a square.
A square is a parallelogram.
A trapezoid is a parallelogram.
A kite is a rhombus.
Quadrilateral ABCD is a parallelogram.
There are more diagonals than vertices
in a polygon.
November 11, 2015
Next Tuesday, we will have a Matching
Properties Quiz. Don't get overwhelmed
with memorizing the properties.
*Start Studying NOW (look at Section 5.5
in book)
*Make notecards to help you know the props
*Realize that all properties are provable use your intuition about the properties...
PROPERTIES CAN DEAL WITH:
1) Sides (pairs of opposite and consecutive
sides) - PARALLEL or CONGRUENT
2) Angles (pairs opposite and consecutive
sides) - CONGRUENT or SUPP.
3) Diagonals - BISECTING (angles or each
other) or PERPENDICULAR)
November 11, 2015
For Example:
PARALLELOGRAM PROPERTIES (5 props)
YOU TRY!
RECTANGLE PROPERTIES (7 PROPS)
A
D
B
C
November 11, 2015
HW 5.4: p238 #6, 8, 11, 13-16