Proportionality Theorem Quick Assessment

Front

What is the Proportionality Theorem?

Back

The Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

What does it mean for segments to be proportional?

Back

Segments are proportional if the ratios of their lengths are equal.

Front

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

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

What is an angle bisector?

Back

An angle bisector is a line or segment that divides an angle into two equal parts.

Front

How do you find the length of a missing segment using the Proportionality Theorem?

Back

Set up a proportion using the known segments and solve for the missing segment.

Front

What is a median in a triangle?

Back

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

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

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

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

What is the value of the missing segment if the known segments are 4 and 6?

Back

The missing segment can be found using the proportion: 4/x = 6/9, which gives x = 6.