Fast and Curious: Similar Figures

Front

What are similar figures?

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

What does AA Similarity mean?

Back

AA Similarity (Angle-Angle Similarity) states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SSS Similarity mean?

Back

SSS Similarity (Side-Side-Side Similarity) states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What does SAS Similarity mean?

Back

SAS Similarity (Side-Angle-Side Similarity) states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the lengths of their corresponding sides are proportional.

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. It is the ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

If the scale factor k = 3, what does this mean?

Back

If the scale factor k = 3, it means that the dilated figure is three times larger than the original figure.

Front

If the scale factor k = \frac{1}{2}, what does this mean?

Back

If the scale factor k = \frac{1}{2}, it means that the dilated figure is half the size of the original figure.

Front

How do you find the missing side in similar figures?

Back

To find the missing side in similar figures, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

Complete the similarity statement: \Delta CAB \sim __?__

Back

\Delta DEF