Brewer Similarity Review

Front

What is the AA~ postulate in triangle similarity?

Back

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

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which 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

What is the SSS~ postulate in triangle similarity?

Back

The SSS~ postulate states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

If quadrilateral ABCD is similar to quadrilateral RSTU, what can be inferred about their corresponding angles?

Back

The corresponding angles of similar quadrilaterals are equal.

Front

If Matt is 160 cm tall and his shadow is proportional to the height of a light pole, how can we find the height of the pole?

Back

Use the proportion of the heights to the lengths of the shadows to set up a ratio and solve for the height of the pole.

Front

What is the formula to find the height of an object using similar triangles?

Back

Height of object = (Height of shadow) * (Height of known object / Length of known object's shadow).

Front

In triangle similarity, what does it mean if two triangles are similar?

Back

It means that their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you solve for a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the similar triangles and solve for the missing side.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If AD = 5, CD = 15, and EB = 12, how do you find AE?

Back

Use the property of similar triangles to set up a proportion and solve for AE.