Identify Transformations for Congruent Figures

Front

What are figures that are the same size, same shape, and same angles called?

Back

Congruent

Front

What is the sequence of transformations that shows square PQRS is congruent to square TUVW?

Back

A translation 2 units down and 2 units to the left, then a reflection over the x-axis.

Front

How can you show that ΔABC is congruent to ΔDEF using transformations?

Back

Reflect ΔABC across the x-axis, then translate it up 1.

Front

What does it mean for two figures to be congruent?

Back

They have the same size and shape.

Front

What is a transformation in geometry?

Back

A change in the position, size, or shape of a figure.

Front

What is a translation?

Back

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

Front

What is a reflection?

Back

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 the same size and shape, while similar figures have the same shape but different sizes.

Front

What is the role of the x-axis in transformations?

Back

It can be used as a line of reflection to flip figures.

Front

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

Back

It can also be used as a line of reflection to flip figures.