# Math in Focus Grade 6 Chapter 9 Answer Key The Coordinate Plane

Practice the problems of Math in Focus Grade 6 Workbook Answer Key Chapter 9 The Coordinate Plane to score better marks in the exam.

## Math in Focus Grade 6 Course 1 B Chapter 9 Answer Key The Coordinate Plane

### Math in Focus Grade 6 Chapter 9 Quick Check Answer Key

Use the coordinate plane below.

Question 1.
Give the coordinates of points B, C, and D.
Point B:
The first coordinate represents distance along x axis which is 3 and the second coordinate represents distance along y axis which is 3.
So, the point P will be (3,3).
Point C:
The first coordinate represents distance along x axis which is 1 and the second coordinate represents distance along y axis which is 4.
So, the point C will be (1,4).
Point D:
The first coordinate represents distance along x axis which is 5 and the second coordinate represents distance along y axis which is 2.
So, the point D will be (5,2).

Use graph paper. Plot the points on a coordinate plane.

Question 2.
P (3, 2), Q (2, 3), and R (0, 4)
To plot point P (3, 2):
Here, the x-coordinate is 3 and the y-coordinate is 2. Start at the Origin. As the x coordinate is positive, move 3 units along the positive x-axis and 2 units along positive y -axis.
Thus, the required point P (3, 2) is marked.
To plot point Q (2, 3):
Here, the x-coordinate is 2 and the y-coordinate is 3. Start at the Origin. As the x coordinate is positive, move 2 units along the positive x-axis and 3 units along positive y -axis.
Thus, the required point P (2, 3) is marked.
To plot point R (0, 4):
Here, the x-coordinate is 0 and the y-coordinate is 4.  As the y coordinate is positive, move 5 units along the positive y-axis and mark it.
Thus, the required point(0, 4) is marked

Identify the number that each indicated point represents.

Question 3.

To the left of the origin, the x coordinate values will be negative.
Start counting from the origin and note down the values.
The first value will be -1, next will be -4, -6 and -8.

Draw a horizontal number line to represent each set of numbers.

Question 4.
-3, 0, 1, 5, 8
-3 is the negative value; therefore mark it to the left of the origin.
0 is the origin. 1,5,8 are the positive values, which are to be marked to the right of the origin.

Question 5.
-15, -11, -9, -7, -2
Here, all are negative values. Hence all the values are to be marked to the left of the origin.

Use the symbol || to write the absolute values of the following numbers.

Question 6.
11
The distance of an integer from ‘

$0$

‘ on the number line irrespective of its direction is called the absolute value of that integer.
Two vertical bars ‘| |’ are used to denote the absolute value.
The absolute value of any positive number is the number itself.
Therefore, the absolute value of 11 will be 11.

Question 7.
-16
The absolute value of negative number is the positive of it.
Therefore, the absolute value of -16 or |-16| will be 16.

Question 8.
-21
The absolute value of negative number is the positive of it.
Therefore, the absolute value of -21 or |-21| will be 21.

Find the perimeter of each polygon.

Question 9.
Figure ABC is an isosceles triangle.

Given triangle ABC has two equal sides, thus it will form an isosceles triangle.
The triangle will measure 8 in, 8 in and 5 in.
Perimeter of the triangle will be the sum of all sides, 8+8+5 = 21 in

Question 10.
Figure DEFis an equilateral triangle.

Given DEF is an equilateral triangle. Equilateral trinagle will have all equal sides.
All sides of the triangle will measure 4 in.
Perimeter of the triangle will be the sum of all sides, 4+4+4 = 12 in

Question 11.
Figure PQRS is a trapezoid.

Given figure PQRS is a trapezoid. One of the pair of opposite sides are equal in length.
The trapezoid measures 16cm,10cm and 9cm.
Perimeter of the trapezoid will be the sum of all sides, 16+10+9+9 = 44cm

Question 12.
Figure WXYZ is a parallelogram.