Transformations and Symmetry Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

Define reflection in geometry.

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is the perpendicular bisector of a segment?

Back

The perpendicular bisector of a segment is a line that divides the segment into two equal parts at a 90-degree angle.

Front

How many lines of symmetry does an equilateral triangle have?

Back

An equilateral triangle has 3 lines of symmetry.

Front

What is rotational symmetry?

Back

Rotational symmetry is when a shape can be rotated around a center point and still look the same at certain angles.

Front

Identify the smallest angle of rotation for a shape with 180° rotational symmetry.

Back

The smallest angle of rotation is 180°.

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical halves 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 reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis flips it vertically, changing the sign of the y-coordinates.

Front

What is the effect of reflecting a shape over the y-axis?

Back

Reflecting a shape over the y-axis flips it horizontally, changing the sign of the x-coordinates.