HOW TO TRANSLATE A SHAPE BY A VECTOR

A translation of a figure occurs when every point on that is moved the same distance in the same direction.

We can give details of a translation by using a translation vector.

In the vector given,

Horizontal moves :

Vertical moves :

Translate the figures using given vector.

Example 1 :

Solution :

The first value is 4, means move the point 4 units right.

The second value is -2, means move the point 2 units down.

Example 2 :

Solution :

The first value is -3, means move the point 3 units left.

The second value is 2, means move the point 2 units up.

Example 3 :

Solution :

The first value is 0, means don't have to move horizontally.

The second value is -3, means move the point 3 units down.

Example 4 :

Solution :

The first value is 4, means move the point 4 units right.

The second value is 0, means don't have to move vertically.

Example 5 :

Solution :

The first value is -2, means move the point 2 units left.

The second value is -4, means move the point 4 units down.

Example 6 :

Solution :

The first value is -3, means move the point 3 units left.

The second value is 3, means move the point 3 units up.

Example 7 :

What translation vector moves Q to P ?

Solution :

By observing the vertex, moving 1 unit down and 3 units to the left we get the new rectangle.

So, the translation vector is

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