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 of the triangle.

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

If a line divides two sides of a triangle, then a/b = c/d, where a and b are segments on one side, and c and d are segments on the other side.

Tags

CCSS.HSG.SRT.B.4

Front

If a triangle has sides of lengths 6, 8, and 10, what is the ratio of the sides?

Back

The ratio of the sides is 6:8:10, which simplifies to 3:4:5.

Front

How do you solve for a missing length in a proportion?

Back

Cross-multiply the known values and solve for the unknown variable.

Tags

CCSS.7.G.A.1

Front

If a triangle has a base of 12 cm and a height of 5 cm, what is the area?

Back

Area = 1/2 * base * height = 1/2 * 12 * 5 = 30 cm².

Tags

CCSS.6.G.A.1

Front

What is the relationship between similar triangles and proportionality?

Back

In similar triangles, corresponding sides are proportional to each other.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar, and the lengths of one triangle's sides are 4, 6, and 8, what are the lengths of the corresponding sides of the other triangle if the ratio is 2:3?

Back

The corresponding sides will be 8, 12, and 16.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of the Triangle Proportionality Theorem in geometry?

Back

It helps in solving problems related to similar triangles and finding unknown lengths.

Tags

CCSS.HSG.SRT.B.4

Front

If a triangle has sides of lengths 5, 12, and x, and is similar to another triangle with sides 10, 24, and 2x, what is the value of x?

Back

x = 6.

Tags

CCSS.HSG.SRT.A.2