Fast and Curious: Similar Figures

Front

What does it mean for figures to be similar?

Back

Figures are similar if they have the same shape and proportional size.

Front

What is AA Similarity?

Back

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

Front

What is SSS Similarity?

Back

SSS Similarity states that if the sides of one triangle are proportional to the sides of another triangle, the triangles are similar.

Front

What is SAS Similarity?

Back

SAS Similarity states that if two sides of one triangle are proportional to two sides of another triangle and the included angle is equal, the triangles are similar.

Front

Are the figures similar? Explain: Triangle A has angles 30°, 60°, 90° and Triangle B has angles 30°, 60°, 90°.

Back

Yes, by AA Similarity.

Front

Are the figures similar? Explain: Triangle A has sides 3, 4, 5 and Triangle B has sides 6, 8, 10.

Back

Yes, by SSS Similarity.

Front

Find the missing side: Triangle A has sides 5 and 10, Triangle B has sides x and 20. What is x?

Back

x = 10.

Front

Find the missing side: Triangle A has sides 2 and 4, Triangle B has sides x and 8. What is x?

Back

x = 4.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal.

Front

What is the relationship between corresponding sides in similar figures?

Back

Corresponding sides in similar figures are proportional.