Similarity Side Splitter

Front

What is the Side Splitter Theorem?

Back

If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

Define similar figures.

Back

Figures that have the same shape but may differ in size; corresponding angles are equal and corresponding sides are in proportion.

Front

What does it mean for two lines to be parallel?

Back

Two lines that never intersect and are equidistant from each other at all points.

Front

If AB = 4, BC = 7, ED = 5, and EC = 13.75, what can be concluded about BD and AE?

Back

BD is parallel to AE.

Front

What is the relationship between corresponding angles in similar triangles?

Back

All corresponding angles in similar triangles are congruent.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

How do you find the missing length in a proportion?

Back

Cross-multiply and solve for the unknown length.

Front

What is the formula for finding the length of a side in similar triangles?

Back

If triangle ABC is similar to triangle DEF, then AB/DE = BC/EF = AC/DF.

Front

If two triangles have sides in the ratio 3:5, what can be said about their areas?

Back

The ratio of their areas will be the square of the ratio of their corresponding sides, (3^2):(5^2) = 9:25.

Front

What is a proportion?

Back

An equation that states that two ratios are equal.