90 Degree Anticlockwise Rotation

Learn about the rules for 90 degree anticlockwise rotation about the origin.

How do you rotate a figure 90 degrees in anticlockwise direction on a graph?

Rotation of point through 90° about the origin in anticlockwise direction when point M (h, k) is rotated about the origin O through 90° in anticlockwise direction. The new position of point M (h, k) will become M' (-k, h).

90° Anticlockwise Rotation

Worked-out examples on 90° anticlockwise rotation about the origin:

1. Find the new position of the following points when rotated through 90° anticlockwise about the origin.

(i) A (2, 3)           

(ii) B (-5, -7)       

(iii) C (-6, 9)        

(iv) D (4, -8)

Solution:

When rotated through 90° about the origin in anticlockwise direction. The new positions of the above points are:

(i) The new position of point A (2, 3) will become A' (-3, 2)           

(ii) The new position of point B (-5, -7) will become B' (7, -5)       

(iii) The new position of point C (-6, 9) will become C' (-9, -6)      

(iv) The new position of point D (4, -8) will become D' (8, 4)


2. Draw a triangle ABC on the graph paper. The co-ordinate of A, B and C being A (1, 2), B (3, 1) and C (2, -2), find the new position when the triangle is rotated through 90° anticlockwise about the origin.

Solution:

90 Degree Anticlockwise Rotation

Plot the points A (1, 2), B (3, 1) and C (2, -2) on the graph paper. Join AB, BC and Cato get a triangle. On rotating it through 90° about the origin in anticlockwise direction, the new position of the points are:

A (1, 2) will become A' (-2, 1)

B (3, 1) will become B' (-1, 3)

C (2, -2) will become C' (2, 2)

Thus, the new position of ∆ ABC is ∆ A'B'C'.

Related Concepts

Lines of Symmetry

Point Symmetry

Rotational Symmetry

Order of Rotational Symmetry

Types of Symmetry

Reflection

Reflection of a Point in x-axis

Reflection of a Point in y-axis

Reflection of a point in origin

Rotation

90 Degree Clockwise Rotation

180 Degree Rotation








7th Grade Math Problems

8th Grade Math Practice

From 90 Degree Anticlockwise Rotation to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More