Page 251 - Math Smart - 7

We can locate a point on a coordinate grid using its distance from the ^-axis and Think and Share
y-axis. Look at the example below.
Can you write the
Point A is located on the coordinates (1, 2) on the grid below in the first quadrant.
coordinates of some
The point B{-3, 3) lies in the second quadrant. In the second quadrant, the points in the third and
.Y-coordinate is a negative number and the v-coordinate is a positive number. fourth quadrants?
Point C has the coordinates (-5,-2) lies in the third quadrant. Both the
How are they different
.Y-coordinate and v-coordinate are negative.
or similar to the
Point D lies in the fourth quadrant. coordinates of the
points in the other two
quadrants?

This is also known as a
B(-:> 3)
Cartesian plane. It consists
of two axes: the .v-axis and
the _v-axis.
When naming a point, we
write the .v-coordinate first,
2 -
-6 -? -4 -3 -
then the v-coordinate. The
coordinates are written
C{-!, -2 within a pair of brackets and
separated by a comma. The
e ^
pair of coordinates (0, 0) is
D(3.-4)
called the origin. I

Example 1

Mark and label the following points on the coordinate grid below. Then draw
straight lines to join the points in order. Name the polygon that is formed.

P{3, 3) Q(3, 1) R{1,-2) S(-2,-3) T(-4,3) U(-2,4)

Solution

PQRSTU is a hexagon.