State the coordinates of each of the points plotted on the following Cartesian plane:
State the coordinates of each of the points plotted on the following Cartesian plane:
Consider the given points on the Cartesian plane:
State which point has the following coordinates:
\left(9, - 3 \right)
\left( - 4 , - 7 \right)
\left(2, 4\right)
\left( - 8 , 8\right)
For each of the following shapes, write down the coordinates of the vertices:
Consider the points A and B plotted on the number plane:
Write down the coordinates of point A.
Write down the coordinates of point B.
Which axis do points A and B lie on?
Write the coordinates of any point that appears on:
The x-axis.
The y-axis.
Both axes.
If point P has an x-coordinate of 0, which axis must it lie on?
If \left(a, b\right) is a point that lies on the y-axis, state the value of a.
In which quadrant do the following points lie?
State the quadrant(s) that have:
Points with a negative y-coordinate.
Points with a negative x-coordinate.
Points where the x-coordinate and y-coordinate have the same sign.
Points with a negative x-coordinate and a positive y-coordinate.
Points with a negative x-coordinate and a negative y-coordinate.
Starting at the origin, move 4 units left and then 4 units up.
Plot the resulting point on a Cartesian plane.
State the coordinates of this point.
Plot the following points on a Cartesian plane:
For each of the following points:
Plot the point on a number plane.
State which quadrant the point lies in.
\left(2, 5\right)
\left( - 2 , 1\right)
\left(- 3 ,- 5 \right)
\left(8, - 5 \right)
\left( -8 ,- 1 \right)
\left( 4 ,- 7 \right)
\left(0, 2\right)
\left(5, 0\right)
For each of the following sets of points:
Plot the points on a number plane.
Identify the shape formed by joining the points in order.
\left(4, 1\right), \left(7, 1\right), \left(4, 4\right), \left(7, 4\right)
\left(1, 5\right), \left(6, 5\right), \left(1, 8\right), \left(6, 8\right)
\left( - 5 , - 3 \right), \left(0, -1 \right), \left( - 4 , 6 \right), \left(1, 8 \right)
\left( - 4 , - 3 \right), \left(0, -1 \right), \left( - 2 , 1 \right), \left(2, 3 \right)
Describe how you would move on the number plane from the origin, to plot the following points:
Find the coordinates of the following points given the description:
The point 9 units below the origin.
The point 3.5 units to the left of the origin.
The point 4 units to the left of \left( - 3 , 6 \right).
The point 7 units to the right of \left( - 1 , - 2 \right).
The point 2 units to the right and 2 units below the point \left(2, 5\right).
The point 6 units to the left and 5 units above the point \left(4, -4\right).
Find the distance between the following pairs of points:
A \left( - 5 , 8\right) and B \left( - 2 , 8\right).
A \left(7, 3\right) and B \left(-1, 3\right).
A \left(6, - 5 \right) and B \left(6, -1\right).
A \left( - 6 , 2\right) and B \left( - 6 , - 7 \right).
Which point is furthest from the origin?
\left(0, - 3 \right)
\left(5, 0\right)
\left(0, 4.5\right)
\left( - 4 , 0\right)
How many units above the origin is the point \left( - 6 , 1\right) located?
Consider the points: A \left( - 4 , 8\right), B \left( - 7 , 8\right) and C \left( - 7 , 1\right).
Plot the points on a number plane.
Find the length of AB.
Find the length of BC.
A triangle has points A \left(1, 2\right), B \left( - 2 , - 3 \right) and C \left(6, - 3 \right).
Plot the triangle ABC on a Cartesian plane.
Find the perpendicular height of the triangle if BC is the base.
Find the length of base BC.
Hence find the area of triangle ABC.
The points given represent three vertices of a parallelogram. Find the coordinates of the fourth vertex if it is known to be in the 2nd quadrant.
The points given represent three vertices of a rhombus. Find the coordinates of the fourth vertex if the missing point lies in the 3rd quadrant.