Triangle proportionality theorem

Front

What is the Triangle Proportionality Theorem?

Back

The Triangle Proportionality Theorem states that 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

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

Back

The corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How do you determine if two triangles are similar using the AA criterion?

Back

Two triangles are similar if two angles of one triangle are equal to two angles of another triangle.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for finding the length of a side in a proportion?

Back

If a/b = c/d, then ad = bc.

Tags

CCSS.7.G.A.1

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you use the Triangle Proportionality Theorem to solve for a missing length?

Back

Set up a proportion using the lengths of the sides that are known and solve for the missing length.

Tags

CCSS.HSG.CO.C.9

Front

What is the significance of the term 'corresponding parts' in similar triangles?

Back

Corresponding parts refer to the sides and angles that are in the same relative position in similar triangles.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Side-Splitter Theorem?

Back

The Side-Splitter Theorem states that a line parallel to one side of a triangle divides the other two sides proportionally.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 6 and the corresponding side in triangle B is 9, what is the scale factor?

Back

The scale factor is 3:2.

Tags

CCSS.7.G.A.1