Math 8 - U2L9 - Similarity and determining side lengths - DAY 2

Front

What is the definition of similar figures in geometry?

Back

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

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Front

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

Back

The SAS similarity criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Front

What is the purpose of using proportions in solving for missing side lengths in similar figures?

Back

Proportions are used to set up equations that relate the lengths of corresponding sides of similar figures, allowing us to solve for unknown side lengths.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 and 8 respectively, what is the ratio of their corresponding sides?

Back

The ratio of the corresponding sides is 4:8, which simplifies to 1:2.

Front

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

Back

If two triangles are similar, the ratio of the lengths of corresponding sides is equal to the ratio of the lengths of any two sides of the triangles.

Front

How can you use cross-multiplication to solve proportions?

Back

Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal to each other to solve for the unknown.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If two trapezoids are similar and the length of one side is 5m and the corresponding side in the other trapezoid is 10m, what is the scale factor?

Back

The scale factor is 1:2.

Front

What is the definition of a proportion in mathematics?

Back

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