10/15 Sequences of Transformations and Congruence Lesson

Front

What does it mean for two figures to be congruent?

Back

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

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. Common transformations include translations, rotations, reflections, and dilations.

Front

What is a translation?

Back

A translation is a type of transformation that slides a figure from one position to another without turning it.

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

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

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.

Front

How can you determine if two figures are congruent?

Back

To determine if two figures are congruent, check if one can be transformed into the other using rotations, translations, or reflections.

Front

What is the significance of the term 'not congruent'?

Back

'Not congruent' indicates that two figures do not have the same shape and size, meaning they cannot be made to match through transformations.

Front

What is a sequence of transformations?

Back

A sequence of transformations is a series of operations applied to a figure to change its position or size, which can include multiple translations, rotations, and reflections.

Front

Can two figures be similar but not congruent?

Back

Yes, two figures can be similar if they have the same shape but different sizes, meaning they can be scaled versions of each other.