Triangle Proportionality Theorem

Front

What is the Triangle Proportionality Theorem?

Back

If a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What similarity shortcut is used when two angles of one triangle are equal to two angles of another triangle?

Back

AA (Angle-Angle) similarity.

Tags

CCSS.HSG.SRT.B.5

Front

What similarity shortcut is used when two sides of one triangle are proportional to two sides of another triangle and the included angles are equal?

Back

SAS (Side-Angle-Side) similarity.

Tags

CCSS.HSG.SRT.B.5

Front

What similarity shortcut is used when all three sides of one triangle are proportional to the corresponding sides of another triangle?

Back

SSS (Side-Side-Side) similarity.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

Their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

If a triangle has sides of lengths 3, 4, and 5, what is the ratio of its sides?

Back

The ratio is 3:4:5.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the ratio of their corresponding sides?

Back

The ratio is 6:9 or 2:3.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the length of a side in a similar triangle?

Back

Set up a proportion using the lengths of corresponding sides.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The ratio of their areas is the square of the ratio of their corresponding sides.