WorksheetsCoordinate Graph Easy
Total questions: 20
Worksheet time: 20mins
Explain why it is convenient to place a right triangle on the grid as shown when writing a coordinate proof.
The hypotenuse of the right triangle is easy to identify.
The side lengths are often easier to find because you are using zeros in your expressions.
It is easier to dilate the figure on the coordinate plane.
Both legs have the same length when you place the triangle on the x- and y-axes.
Write a plan for the proof. Given Coordinates of vertices of △OPM and △ONM Prove △OPM and △ONM are isosceles triangles
Find the lengths of OP, PM, MN, NO and OM to show that △OMP≅△OMN by the SSS Congruence Theorem.
Find the lengths of OP, PM, MN, and NO to show that OP ≅ PM and MN ≅ NO.
Write a plan for the proof.
Given: G is the midpoint of HF
Prove: △GHJ≅△GFO
Find the coordinates of G using the Midpoint Formula
Use these coordinates and the Distance formula to show that OG ≅ JG.
Show that HG≅ FG by the definition of midpoint and ∠HGJ ≅ ∠FGO by the Vertical Angles Congruence Theorem.
Find the coordinates of G using the Distance Formula
Use these coordinates and the Midpoint formula to show that OG ≅ JG.
Show that HG≅ FG by the definition of midpoint and ∠HGJ ≅ ∠FGO by the Vertical Angles Congruence Theorem.
Then, use the SAS Congruence Theorem to conclude that △GHJ ≅ △GFO.
Then, use the SSS Congruence Theorem to conclude that △GHJ ≅ △GFO.
Find the coordinates of the vertex O.
(a)
Find the coordinates of the vertex U.
(k, 0)
(0, k)
(k, 2k)
(2k, k)
You and your cousin are camping in the woods. You hike to a point that is 500 meters east and 1200 meters north of the campsite. Your cousin hikes to a point that is 1000 meters east of the campsite.
The distance from the campsite to you is ______ meters.
1500
1300
1200
1000
You and your cousin are camping in the woods. You hike to a point that is 500 meters east and 1200 meters north of the campsite. Your cousin hikes to a point that is 1000 meters east of the campsite.
The distance from you to your cousin is ______ meters.
1500
1300
1200
1000
Where is point E located?
( 2, 0 )
( 2 , 2 )
( 0 , 2 )
( 0 , 0 )
Which number in the ordered pair, (-4, 5) represents the x-value?
-4
5
Where is point A located?
( 7 , 2 )
( 2 , 6 )
( - 2 , 7 )
( 2 , 7 )
What is the ordered pair for C?
(-6, 7)
(2, -4)
(-8, 2)
(2, -8)
When plotting the point, (-4, 3), which describes the movement along the x-axis and y-axis in the correct order?
4 units right then 3 units up
4 units down then 3 units left
4 units left then 3 units up
4 units up then 4 units right
On the coordinate plane, which line is the x-axis?
Horizontal Line (Side to Side)
Vertical Line (Up and Down)
On the coordinate plane, which line is the y-axis?
Horizontal Line (Side to Side)
Vertical Line (Up and Down)
The coordinates for the origin in the coordinate plane are________?
(1,1)
(0,0)
(0,1)
(1,0)
Where is the point (0,3) located?
Quadrant I
Quadrant II
y axis
x axis
Where is the point (-5,0) located?
Quadrant II
Quadrant III
y axis
x axis
Where is Point A on the coordinate plane?
(7,4)
(1,3)
(9,3)
(4,7)
The four sections of the coordinate plane are called
sections
quadrants
corners
axes
Which axis is the vertical line?
X axis
Y axis
