Explore Transformations and Similarity in Geometry

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape. The main types of transformations are translations, rotations, reflections, and dilations.

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What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that are the same shape and size. They can be obtained from one another by rotations, translations, or reflections.

Front

How do you find the missing side in similar figures?

Back

To find the missing side in similar figures, set up a proportion using the lengths of the corresponding sides of the figures and solve for the unknown.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected. Points on the figure are equidistant from this line.

Front

What is the difference between a translation and a rotation?

Back

A translation moves a figure from one location to another without changing its shape, size, or orientation, while a rotation turns a figure around a fixed point.

Front

What does it mean for sides in similar figures to be proportional?

Back

Sides in similar figures are proportional when the ratios of the lengths of corresponding sides are equal.

Front

What is the formula for calculating the scale factor between two similar figures?

Back

The scale factor is calculated by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate, resulting in the point (-x, y).