Reflections and Translations

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

What is the rule for translating a point (x, y) by 2 units to the right and 1 unit down?

Back

(x + 2, y - 1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you identify a translation on a coordinate grid?

Back

Look for a figure that has moved to a new location without changing its shape or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean for a shape to be reflected across the y-axis?

Back

Each point (x, y) of the shape is transformed to (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If triangle ABC is translated 5 units down and 3 units to the right, what is the new position of point A(2, 3)?

Back

A' = (2 + 3, 3 - 5) = (5, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection for a point P(4, -5) and its image P'(-4, -5)?

Back

The line of reflection is the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How can you determine the translation vector from one triangle to another?

Back

Subtract the coordinates of corresponding points of the triangles.

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 a trapezoid is translated 8 units down and 5 units to the right, what is the translation rule?

Back

(x + 5, y - 8)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a translation and a reflection?

Back

A translation moves a shape without changing its orientation, while a reflection flips it over a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5