Parallel Lines & Proportional Parts / Parts of Similar Triangles

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What is the Transversal Line Theorem?

Back

If a transversal intersects two parallel lines, then alternate interior angles are equal, and corresponding angles are equal.

Front

Define similar triangles.

Back

Similar triangles are triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What is the Side-Splitter Theorem?

Back

The Side-Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

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

Back

The lengths of corresponding sides of similar triangles are in proportion.

Front

How do you find the length of a side in similar triangles?

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides.

Front

What is the formula for finding the area of similar triangles?

Back

Front

What does it mean for segments to be proportional?

Back

Segments are proportional if the ratios of their lengths are equal.

Front

If EF = 2.5, EG = 8, GH = 7, and GI = 10, is segment FH parallel to segment EI?

Back

No, segment FH is not parallel to segment EI.

Front

How do you solve for x in a proportion?

Back

To solve for x in a proportion, cross-multiply and then isolate x.