Dilations, Similarity, and Introducing Slope

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

If triangle ABC is dilated by a scale factor of 2, what happens to its size?

Back

The size of triangle ABC doubles, but its shape remains the same.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in two different shapes that are similar.

Front

What are corresponding sides?

Back

Corresponding sides are the sides of two shapes that are in the same relative position.

Front

When two lines have the same slope, what can we say about them?

Back

They are parallel lines.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Front

If two polygons are similar, what can we say about their corresponding sides?

Back

Their corresponding sides are proportional.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.