Translations and Reflections Review

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a figure from one position to another without turning it. The shape and size remain the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) by (a, b)?

Back

To translate the point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in the new point (x+a, y+b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point (x, y) over the y-axis?

Back

To reflect the point (x, y) over the y-axis, you change the sign of the x-coordinate, resulting in the new point (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (2, 3) over the y-axis?

Back

The result is the point (-2, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between translation and reflection?

Back

Translation slides a figure without changing its orientation, while reflection flips a figure over a line, changing its orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Tags

CCSS.8.G.A.3

Front

What is the result of translating triangle A'B'C' to triangle ABC by (x+2, y-9)?

Back

The coordinates of triangle ABC will be obtained by adding 2 to the x-coordinates and subtracting 9 from the y-coordinates of triangle A'B'C'.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5