Triangle Proportionality Theorem Practice

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 does it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are proportional.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

How can you determine if two triangles are similar using angle-angle (AA) similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the lengths of sides in similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

Back

The triangles formed by these segments are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the Triangle Proportionality Theorem in solving geometric problems?

Back

It allows for the determination of unknown lengths and the establishment of relationships between different parts of triangles.

Tags

CCSS.HSG.SRT.B.4

Front

If a line segment divides two sides of a triangle proportionally, what can be concluded about that line segment?

Back

The line segment is parallel to the third side of the triangle.

Tags

CCSS.HSG.SRT.B.4

Front

What is the formula for finding the missing length in a proportion?

Back

Tags

CCSS.7.G.A.1

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are the same size and shape, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2