Understanding Translations in Geometry

Front

What is a translation in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

When translating an object, which direction would you apply to the 'x' coordinate?

Back

Left or right.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation of a translation?

Back

(x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Identify the transformation from ABC to A'B'C' if the rule is (x+8, y+4).

Back

The transformation is a translation 8 units to the right and 4 units up.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What type of transformation is shown by the rule (x, y) → (x + 3, y)?

Back

Translation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Write the rule for the translation that slides a point 3 units up and 2 units to the right.

Back

(x, y) → (x + 2, y + 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the term 'vector' refer to in the context of translations?

Back

A vector is a quantity that has both direction and magnitude, used to describe the movement of a translation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How can you determine the direction of a translation on a coordinate plane?

Back

By observing the changes in the x and y coordinates of the points before and after the transformation.

Tags

CCSS.HSG.CO.A.2

Front

What is the effect of a translation on the shape of a figure?

Back

A translation does not change the shape or size of a figure; it only changes its position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (2, 3) is translated 5 units left and 2 units down, what are the new coordinates?

Back

(-3, 1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5