Triangle Proportionality

Front

What is Triangle Proportionality?

Back

Triangle Proportionality 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.B.4

Front

If a line segment divides two sides of a triangle proportionally, what can be said about the segments?

Back

The segments created on the two sides of the triangle are in proportion to the lengths of the sides they divide.

Tags

CCSS.HSG.SRT.B.4

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 into segments that are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The ratio of the sides is 3:4:5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

Back

Use the property of proportionality: if a/b = c/d, then ad = bc.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of similar triangles in relation to proportionality?

Back

Similar triangles have corresponding sides that are proportional, which allows for the use of ratios to solve for unknown lengths.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

If a triangle has sides of lengths 6, 8, and 10, what is the scale factor if it is similar to a triangle with sides 3, 4, and 5?

Back

The scale factor is 2.

Tags

CCSS.7.G.A.1

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2