DOL - Translations Make-Up

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape a certain distance in a specified direction without changing its size, shape, or orientation.

Front

How do you represent a translation algebraically?

Back

A translation can be represented by the rule (x, y) → (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does it mean to translate a shape 8 units to the left?

Back

Translating a shape 8 units to the left means subtracting 8 from the x-coordinate of each point of the shape.

Front

What does it mean to translate a shape 6 units up?

Back

Translating a shape 6 units up means adding 6 to the y-coordinate of each point of the shape.

Front

If a point (x, y) is translated 3 units to the left and 5 units down, what is the algebraic rule?

Back

The algebraic rule is (x, y) → (x - 3, y - 5).

Front

What is the new coordinate of point (4, 2) after translating it 2 units to the right and 3 units up?

Back

The new coordinate is (6, 5).

Front

What is the effect of translating a shape on its area?

Back

The area of the shape remains unchanged after a translation.

Front

If triangle ABC is translated according to the rule (x, y) → (x - 4, y + 2), what happens to the coordinates of point A(1, 3)?

Back

Point A will move to A'(-3, 5).

Front

What is the coordinate of point B(2, -1) after translating it 5 units to the left and 2 units down?

Back

The new coordinate is (-3, -3).

Front

What is the difference between a translation and a rotation?

Back

A translation moves a shape without changing its orientation, while a rotation turns a shape around a fixed point.