Proportions in Triangles

Front

What is a proportion in the context of triangles?

Back

A proportion in triangles refers to the equality of two ratios, often used to compare the lengths of corresponding sides of similar triangles.

Front

What is the Triangle Proportionality Theorem?

Back

The Triangle Proportionality 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 corresponding sides of similar triangles are in proportion, meaning the ratios of their lengths are equal.

Front

How do you find the missing length in a proportion?

Back

To find the missing length in a proportion, set up a ratio and cross-multiply to solve for the unknown.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the significance of the SSS (Side-Side-Side) similarity criterion?

Back

The SSS similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS (Side-Angle-Side) similarity criterion?

Back

The SAS similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the relationship between the angles of similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

How can proportions be used to solve real-world problems involving triangles?

Back

Proportions can be used to find unknown lengths or heights in real-world applications, such as architecture and engineering, by comparing similar triangles.

Front

What is the concept of scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.