rigid transformations and symmetry

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define symmetry in geometry.

Back

Symmetry in geometry refers to a situation where one shape becomes exactly like another when you move it in some way, such as flipping, sliding, or turning.

Front

How many types of rigid transformations are there?

Back

There are three types of rigid transformations: translations, rotations, and reflections.

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a figure into two mirror-image halves.

Front

What does it mean to reflect a figure over the y-axis?

Back

Reflecting a figure over the y-axis means flipping the figure across the y-axis, resulting in a mirror image on the opposite side.

Front

What is the effect of translating a figure 4 units to the right?

Back

Translating a figure 4 units to the right shifts every point of the figure 4 units in the positive x-direction.

Front

Describe a 90-degree clockwise rotation about the origin.

Back

A 90-degree clockwise rotation about the origin moves each point of a figure to a new position where the x-coordinate and y-coordinate are swapped and the new y-coordinate is negated.

Front

What is the result of reflecting a figure over the x-axis?

Back

Reflecting a figure over the x-axis flips the figure vertically, changing the sign of the y-coordinates of all points.

Front

If a quadrilateral is translated 4 units left and 5 units down, how do you find the new coordinates of a point?

Back

To find the new coordinates, subtract 4 from the x-coordinate and 5 from the y-coordinate of the original point.

Front

What is the sequence of transformations?

Back

A sequence of transformations is a series of rigid transformations applied to a figure, such as reflecting, rotating, or translating.