Name_______________
Unit 4
Proving quadrilaterals using Coordinate Geometry
Date Page(s)
Topic
11/30
2
Apply the Pythagorean Theorem to find
distance
12/1
3
Find slope and midpoint of line segments
12/2
Review
Quiz
12/3
4
Make conclusions about lines knowing the
above information
12/4
5
Prove lines are ≅/ ⊥ /∥/∦
12/7Review
12/8
Quiz
12/9
6
How to prove a quadrilateral IS a
parallelogram
12/10
6
Prove a quadrilateral is a parallelogram
12/11
7-8 How to prove a quadrilateral IS a rectangle
OR a Rhombus
12/14
7-8 Prove a quadrilateral is a rectangle or a
rhombus
12/15
Review
Quiz
12/16
9
How to prove a quadrilateral IS a square
12/17
9
Prove a quadrilateral is a square or other..
12/18
Review
12/21
Review
12/22
Test
12/23
Origami Holiday Cards
1
Pythagorean Theorem


If you have a__________ triangle with ____ of the sides known and you want to find the
other side
a & b are the _______ of the triangle and c is the _______________

The hypotenuse is ALWAYS located __________ from the _________ angle!!!!!

When taking the square root only _______ when asked to otherwise that is your answer
Ex1)
EX2)
ex3)
ex4)
2
Slope/Midpoint

Slope: how much you go___________ THEN ______________.

If the line goes like this
keep it ________________

If the line goes like this
put a ___________ in front of it

The answer is a _______________!!!!!

Midpoint: the answer is a _______________ so it will be like this:_________________

o Go _________ way from the 2 x’s
o Go half way from the 2 y’s
If using a formula
o _______ the x’s and divide by ______
o Add the ______ and __________ by 2
o Put your answer in _________
ex1)
ex2)
Ex4)
Ex3)
3
Making conclusions
Plot the line segment with endpoints
A(-2,-2) & B(0,1)
C(-4,-1) & D(-1,3)
G(0,-4) & H(4,-1)
I(1,3) & J(9,9)
Line segment
AB
Slope
Distance
CD
EF
GH
IJ
KL
4
E(-5,3) & F(-5,8)
K(-9,5.5) & L(-1,5.5)
Midpoint
Conclusion
Proving lines are……
 Parallel: lines are parallel if the _____________ are the ________________ (______________)
 Perpendicular: lines are perpendicular if the __________ are the _________________
_______________ of each other (flipped and negated)
 If the slopes are neither of those then the lines just ____________________!!!
 Congruent: lines have the same length if they have the same ____________
 Bisect each other: Lines bisect each other (________ each other into _____ _________ parts) if each
line has the same _________________.
ex1)
Ex2)
ex3)
ex4)
5
Proving that a Quadrilateral is a Parallelogram
Different ways to prove:
Way #1
What to prove
What formula to use
What happens with the
formula
What to prove
What formula to use
What happens with the
formula
What to prove
What formula to use
What happens with the
formula
What to prove
What formula to use
What happens with the
formula
Way #2
Way #3
Way #4
6
Proving that a Quadrilateral is Rectangle OR Rhombus
RECTANGLE
Way #1
What to prove
What formula to use
See other notes
What happens with the
formula
See other notes
Prove it is a ______________
With __ _________ _______
Way #2
What to prove
What formula to use
7
What happens with the
formula
RHOMBUS
Way #1
What to prove
What formula to use
See other page
What happens with the
formula
See other page
Prove it is a ___________
With ___ _________ _____ ___
Way #2
What to prove
What formula to use
See other page
What happens with the
formula
See other page
Prove it is a ___________
With ________ ___________
Way #3
What to prove
What formula to use
8
What happens with the
formula
Proving that a Quadrilateral is a Square
Way #2
What to prove
What formula to use
See other notes
What happens with the
formula
See other notes
Prove it’s a ____________
with
Way #2
What to prove
What formula to use
See other notes
What happens with the
formula
See other notes
Prove it’s a ____________
with
Way #3
What to prove
What formula to use
9
What happens with the
formula