Side-Splitters & Egg Slicers

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

Define proportionality in the context of triangles.

Back

Proportionality in triangles means that the ratios of the lengths of corresponding sides are equal.

Front

What is the formula for finding the missing length in a proportion?

Back

Front

How do you separate overlapping triangles to find unknown lengths?

Back

To separate overlapping triangles, identify the triangles involved, label their vertices, and use the properties of similar triangles to set up proportions.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

Back

The missing term is AD, indicating that the lengths CB and DM are proportional to AC and AD.

Front

How do you solve for x in a triangle problem?

Back

To solve for x, set up an equation based on the properties of the triangle, such as the Side-Splitter Theorem or the Pythagorean theorem, and isolate x.

Front

What is the significance of parallel lines in triangle geometry?

Back

Parallel lines in triangle geometry create similar triangles, allowing for the use of proportionality to find unknown lengths.

Front

What does it mean for triangles to be similar?

Back

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

Front

How can you check if two triangles are similar?

Back

To check if two triangles are similar, verify that their corresponding angles are equal and that the ratios of their corresponding sides are equal.