Geometry: Congruent and Similar Figures

Front

What is a congruent figure?

Back

A congruent figure is a shape that is identical in form and size to another shape. They can be superimposed on each other.

Front

What is a similar figure?

Back

A similar figure has the same shape as another figure but may differ in size. The corresponding angles are equal, and the sides are proportional.

Front

What does it mean to dilate a figure?

Back

To dilate a figure means to resize it by a scale factor, either enlarging or reducing it, while keeping the shape proportional.

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 6, 8, and 10.

Front

What are transformations in geometry?

Back

Transformations are operations that alter the position, size, or shape of a figure. They include translations, rotations, reflections, and dilations.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is a translation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle.