Let's practice translations

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

How do you translate a point (x, y) 3 units to the right and 4 units down?

Back

The new coordinates will be (x + 3, y - 4).

Front

If point A is at (2, 3), where will A' be after translating A 3 units to the right and 4 units down?

Back

A' will be at (5, -1).

Front

What are the coordinates of point B after translating B(1, 2) 2 units to the left and 5 units up?

Back

B' will be at (-1, 7).

Front

What is the result of translating point P(4, 5) 2 units to the right and 8 units down?

Back

P' will be at (6, -3).

Front

How do you express a translation in algebraic form?

Back

A translation can be expressed as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What happens to the shape of a triangle when it is translated?

Back

The shape and size of the triangle remain the same; only its position changes.

Front

If triangle A'B'C' is translated to triangle ABC, what does this imply about their coordinates?

Back

The coordinates of triangle ABC can be found by applying the translation vector to the coordinates of triangle A'B'C'.

Front

What is the translation vector for moving a point 2 units to the right and 3 units up?

Back

The translation vector is (2, 3).

Front

How do you find the new coordinates of a point after translation?

Back

Add the translation vector to the original coordinates of the point.