Translations

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean for a transformation to be a rigid motion?

Back

A rigid motion is a transformation that preserves the shape and size of a figure, meaning the figure does not change in any way.

Tags

CCSS.HSG.CO.B.6

Front

What is the pre-image in a translation?

Back

The pre-image is the original figure before any transformation is applied.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the image in a translation?

Back

The image is the resulting figure after a transformation has been applied.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point X(1, 2) is translated 3 units to the left and 4 units up, what are the coordinates of the image X'?

Back

X'(-2, 6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you describe a translation of 5 units down and 2 units to the right?

Back

This means that every point of the shape moves 5 units down on the y-axis and 2 units to the right on the x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The area of the shape remains unchanged after a translation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If trapezoid ABCD is translated to A'B'C'D', what can be said about the lengths of the sides?

Back

The lengths of the sides remain the same after the translation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the vector representation of a translation 4 units left and 3 units down?

Back

The vector is represented as (-4, -3).

Tags

CCSS.HSN.VM.A.1

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5