POLYGONS IN THE COORDINATE PLANE
1.)
On the graph paper below, draw polygon ABCDEFG with vertices:
A( 1, 1 )
B( 9, 1 )
C( 9, 8 )
D( 7, 5 )
E( 4, 5 )
F( 4, 8 )
G( 1, 8 )
Connect point A to B, B to C, etc. When you get to point G, connect back to point A.
Compose and decompose the polygons into triangles and rectangles to find the area.
Area: ____________________
What quadrant is the location of the graphed polygon? ________
2.)
Plot the following points in the coordinate plane.
H ( - 7, 2 )
What quadrant did you plot this point?
__________
I ( 5, - 7 )
What quadrant did you plot this point?
__________
J ( 7, - 9 )
What quadrant did you plot this point?
__________
K ( 2, - 1 )
What quadrant did you plot this point?
__________
L ( 1, - 7 )
What quadrant did you plot this point?
__________
M ( - 4, - 8 )
N ( 6, 3 )
What quadrant did you plot this point?
What quadrant did you plot this point?
__________
__________
3.)
Identify the following points.
A _______________
What quadrant is this point located? __________
B _______________
What quadrant is this point located? __________
C _______________
What quadrant is this point located? __________
D _______________
What quadrant is this point located? __________
E _______________
What quadrant is this point located? __________
F _______________
What quadrant is this point located? __________
G _______________
What quadrant is this point located? __________
FINDING DISTANCES IN THE COORDINATE PLANE
What are the coordinates of point A?
_______________
What are the coordinates of point B?
_______________
What kind of line segment is AB?
Horizontal
or
Vertical
What do you notice about the coordinates of the line segment?
________________
_____________________________________________________________________
Find AB
What are the coordinates of point C?
_______________
What are the coordinates of point D?
_______________
What kind of line segment is CD?
Horizontal
or
Vertical
What do you notice about the coordinates of the line segment?
________________
_____________________________________________________________________F
ind CD
What are the coordinates of point E?
_______________
What are the coordinates of point F?
_______________
What kind of line segment is EF?
Horizontal
or
Vertical
What do you notice about the coordinates of the line segment?
________________
_____________________________________________________________________
Find EF____________________________________________
What are the coordinates of point G?
_______________
What are the coordinates of point H?
_______________
What kind of line segment is GH?
Horizontal
or
Vertical
What do you notice about the coordinates of the line segment?
________________
_____________________________________________________________________
Find GH_____________________________________________________
What are the coordinates of point I?
_______________
What are the coordinates of point J?
_______________
What kind of line segment is IJ?
Horizontal
or
Vertical
What do you notice about the coordinates of the line segment?
________________
_____________________________________________________________
Find IJ _________________________________________________
FINDING DISTANCES ON NUMBER LINES #3
1.)
Find AB = ____________
2.)
Find CD = ____________
FINDING DISTANCES AND AREA OF POLYGONS
What are the coordinates of point A and point B?
A __________
B __________
What is AB?
__________________
What are the coordinates of point A and point D?
A __________
D __________
What is AD?
____________________
Using the formula for area, what is the area of rectangle ABCD? Show your work.
What are the coordinates of point E and point F?
E __________
F __________
What is EF?
_____________________
What are the coordinates of point G and point F?
G __________
F __________
What is GF?
_____________________
Using the formula for area, what is the area of triangle EFG? Show your work.