Triangle Proportionality 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.

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.

Front

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

Back

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

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Front

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

Back

The corresponding sides of similar triangles are in proportion.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

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.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it divides each median into a ratio of 2:1.

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.

Front

What is the relationship between the segments created by a median in a triangle?

Back

A median divides the triangle into two smaller triangles of equal area.