8th Math 4.1 Solve Similar figures

Front

What is a similar figure?

Back

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

Front

How do you find the missing side length in similar figures?

Back

To find the missing side length in similar figures, set up a proportion using the lengths of corresponding sides from the two figures.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in two different figures that are similar.

Front

Are all angles in similar figures congruent?

Back

Yes, all corresponding angles in similar figures are congruent.

Front

What is the relationship between the slopes of the hypotenuses of two similar triangles?

Back

The slope of the hypotenuse of one triangle is the same as the slope of the hypotenuse of the other triangle.

Front

What is the scale factor in similar figures?

Back

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

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 10 and side DE is 5, what is the scale factor?

Back

The scale factor is 1:2, meaning triangle ABC is twice as large as triangle DEF.

Front

How can you determine if two triangles are similar?

Back

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

Front

What is the significance of the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What is a proportion?

Back

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