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.

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).

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).

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).

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).

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.

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.

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).

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).

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.