Composition of Transformations

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

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

Back

The y-coordinate changes sign, while the x-coordinate remains the same.

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of symmetry.

Front

What is the order of rotation for a square?

Back

The order of rotation for a square is 4.

Front

What is a translation in geometry?

Back

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

Front

If a point (x, y) is translated 5 units left and 2 units up, what is the new coordinate?

Back

The new coordinate is (x-5, y+2).

Front

What is the definition of a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

How do you determine the number of lines of symmetry in a shape?

Back

Count the number of ways you can fold the shape so that both halves match exactly.

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

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

Front

What is the rule for reflecting a point over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same.