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

Back

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

Tags

CCSS.4.MD.A.2

Front

How do you find the missing length in similar triangles?

Back

To find the missing length in similar triangles, set up a proportion using the lengths of the corresponding sides.

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 two similar triangles?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

Solve for x: If 3/4 = x/16, what is x?

Back

x = 12.

Tags

CCSS.7.RP.A.2B

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 lengths?

Back

The ratio of their lengths is 6:9 or 2:3.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the Triangle Proportionality Theorem in real-world applications?

Back

It helps in solving problems involving similar figures, such as in architecture, engineering, and various fields of design.

Tags

CCSS.HSG.SRT.B.4

Front

If a triangle has sides of lengths 8, 10, and x, and is similar to another triangle with sides 4, 5, and 6, find x.

Back

x = 12.

Tags

CCSS.HSG.SRT.A.2