4.4 Congruence and Transformations

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they are the same size and shape, meaning one can be obtained from the other through rotations, reflections, or translations.

Front

What transformations can be used to determine congruence between two figures?

Back

Rotations, reflections, and translations.

Front

What is a rotation in terms of transformations?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is a reflection in terms of transformations?

Back

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

Front

What is a translation in terms of transformations?

Back

A translation is a transformation that slides a figure from one position to another without changing its size, shape, or orientation.

Front

How do translations affect the congruence of figures?

Back

Translations are always congruent, meaning the original figure and the translated figure are identical in size and shape.

Front

What is the significance of the y-axis in transformations?

Back

The y-axis can be used as a line of reflection, where figures can be flipped to create congruent images.

Front

What is the difference between congruence and similarity?

Back

Congruence means figures are the same size and shape, while similarity means figures have the same shape but may differ in size.

Front

How can you identify a rotation transformation?

Back

A rotation transformation can be identified by the turning of a figure around a point, maintaining the same distance from that point.

Front

What is the effect of a reflection across the x-axis?

Back

A reflection across the x-axis flips the figure over the x-axis, changing the sign of the y-coordinates of the points.