Reflections and Translations

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 reflect 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 is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a given direction.

Front

How do you translate a point (x, y) 3 units to the left and 9 units down?

Back

The new coordinates will be (x - 3, y - 9).

Front

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

Back

The line of reflection is the y-axis.

Front

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

Back

The y-coordinate changes sign, resulting in (x, -y).

Front

If point Y(-5, -7) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates are (5, -7).

Front

What is the effect of translating a triangle 5 units up?

Back

Each vertex of the triangle will have its y-coordinate increased by 5.

Front

How can you determine if two triangles are translations of each other?

Back

If all corresponding vertices of the triangles have the same distance and direction from each other, they are translations.

Front

What is the formula for translating a point (x, y) by (a, b)?

Back

The new coordinates will be (x + a, y + b).