7.4 Parallel Lines and Proportional Parts

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

If QR is a midsegment of triangle BCD, how do you find the length of QR?

Back

To find the length of QR, measure the length of the side of triangle BCD that is parallel to QR and divide it by 2.

Front

What is the relationship between parallel lines and proportional parts?

Back

When a transversal intersects two parallel lines, it creates proportional segments on the transversal.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, or if corresponding angles formed by a transversal are equal.

Front

What is the scale factor in a scale drawing?

Back

The scale factor is the ratio of a length in the drawing to the corresponding length in the actual object.

Front

If a scale drawing uses a scale of 4 cm:9 ft, what does this mean?

Back

This means that every 4 cm in the drawing represents 9 ft in the actual object.

Front

How do you convert a length from a scale drawing to actual length?

Back

Multiply the length in the drawing by the ratio of the actual length to the drawing length.

Front

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

Back

The length of a midsegment is equal to half the length of the side it is parallel to.

Front

If DE is parallel to BC, what can be said about the angles formed by a transversal?

Back

The corresponding angles formed by a transversal intersecting DE and BC are equal.

Front

What is the significance of midsegments in triangle properties?

Back

Midsegments help in understanding triangle similarity and proportional relationships between sides.