Triangle Proportionality Theorem Flashcardizz

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 line divides two sides of a triangle proportionally, what can be concluded about the line?

Back

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

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the value of x in a proportional triangle?

Back

Set up a proportion using the lengths of the sides and solve for x.

Tags

CCSS.HSG.CO.C.9

Front

If AB/AC = DE/DF, what does this represent in a triangle?

Back

This represents that the segments AB and AC are proportional to segments DE and DF.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

It allows for the determination of unknown lengths in similar triangles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle, as it follows the Pythagorean theorem.

Tags

CCSS.4.G.A.2

Front

What is the relationship between similar triangles and the Triangle Proportionality Theorem?

Back

Similar triangles have corresponding sides that are proportional, which is a direct application of the Triangle Proportionality Theorem.

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 3:4:5.

Tags

CCSS.3.MD.D.8

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1