Analyze Translations

Front

What is a translation in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you describe a translation mathematically?

Back

A translation can be described using a rule in the form (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

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

Back

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

Tags

CCSS.HSG.CO.A.2

Front

What does the term 'image' refer to?

Back

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

Tags

CCSS.HSG.CO.A.2

Front

If a point (3, 4) is translated 2 units to the right and 3 units down, what is the new position?

Back

(5, 1) - The new position is found by adding 2 to the x-coordinate and subtracting 3 from the y-coordinate.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of translating a shape 0 units horizontally and 5 units vertically?

Back

The shape will move straight up by 5 units without changing its horizontal position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How can you determine the direction of a translation?

Back

The direction of a translation can be determined by the signs of the values in the translation rule: positive values indicate movement to the right or up, while negative values indicate movement to the left or down.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the translation rule for moving a shape 4 units left and 2 units up?

Back

The translation rule is (x - 4, y + 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If trapezoid ABCD is translated to trapezoid A'B'C'D', how do you find the translation vector?

Back

To find the translation vector, subtract the coordinates of the original points from the coordinates of the corresponding points in the image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating the point (1, 2) using the rule (x + 3, y - 1)?

Back

The result is (4, 1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5