Translation and reflections

Front

What is a reflection in geometry?

Back

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

Front

How do you find the reflection of a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-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 y-coordinate changes sign, resulting in (x, -y).

Front

If a triangle has vertices A(-4, 2), B(7, 4), and C(4, 3), what are the coordinates of A' after reflection over the y-axis?

Back

A' will be (4, 2).

Front

What is the result of reflecting the point (3, -5) over the x-axis?

Back

The result is (3, 5).

Front

What type of transformation is a reflection?

Back

A reflection is a type of rigid transformation that preserves the shape and size of a figure.

Front

If a figure is reflected over the y-axis, which quadrant will it move to if it starts in quadrant 1?

Back

It will move to quadrant 2.

Front

What is the coordinate of C' after a reflection over the y-axis if C is (4, 3)?

Back

C' will be (-4, 3).

Front

If a point is in quadrant 3 and is reflected over the x-axis, where will it be located?

Back

It will be located in quadrant 2.

Front

What is the effect of translating a point up by 4 units?

Back

The y-coordinate of the point increases by 4.