Transformations in 8th Grade Math

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a figure in a plane. This can include operations such as translation, rotation, reflection, and dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of a point after a 180° rotation about the origin?

Back

If a point has coordinates (x, y), after a 180° rotation about the origin, the new coordinates will be (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates will be (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, the new coordinates will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the new coordinates of a point (x, y) after reflecting over the line y = x?

Back

After reflecting over the line y = x, the new coordinates will be (y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is translation in geometry?

Back

Translation is a type of 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

If a triangle with vertices at (1, 2), (3, 4), and (5, 6) is translated by the vector ⟨-2, 3⟩, what are the new coordinates of the vertex originally at (3, 4)?

Back

The new coordinates will be (1, 7) after applying the translation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection over the x-axis on the point (-5, 8)?

Back

The reflected point will be (-5, -8).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a rotation of 90° counterclockwise about the origin?

Back

To rotate a point (x, y) 90° counterclockwise about the origin, the new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5