Translations

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape or figure the same distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you describe the movement of a shape during a translation?

Back

The movement of a shape during a translation is described by the direction and distance it is moved, often expressed in terms of 'left', 'right', 'up', or 'down' along with the number of units.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the term 'pre-image' refer to in geometry?

Back

The pre-image refers to the original shape or figure before any transformation, such as a translation, is applied.

Tags

CCSS.HSG.CO.A.2

Front

What is the significance of congruence in translated figures?

Back

Congruence indicates that two figures have the same shape and size, which means that a translated figure will be congruent to its pre-image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the coordinates of a translated point?

Back

To determine the coordinates of a translated point, you add or subtract the specified movement values from the original coordinates.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating a point (3, 4) 5 units to the right and 2 units down?

Back

The new coordinates will be (8, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a shape is translated 5 units left and 2 units up, how would you express this movement in coordinates?

Back

You would subtract 5 from the x-coordinate and add 2 to the y-coordinate of the original point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the relationship between the pre-image and the image after a translation?

Back

The image after a translation is congruent to the pre-image, meaning they have the same dimensions and shape but are located in different positions.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How can you visually represent a translation on a coordinate plane?

Back

You can visually represent a translation by plotting the original shape, applying the translation to each vertex, and then plotting the new shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5