7.4 Practice: 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 WUV, how do you find its length?

Back

The length of the midsegment QR is equal to half the length of the side it is parallel to (side WU in this case).

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 solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations.

Front

What is the Triangle Midsegment Theorem?

Back

The Triangle Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.

Front

If segment EF is parallel to segment NP, what can be said about the angles formed by a transversal?

Back

The corresponding angles formed by a transversal intersecting parallel lines are equal.

Front

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

Back

Length of midsegment = 1/2 * Length of the side it is parallel to.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope or if they are both vertical or horizontal.

Front

What is the significance of proportional parts in geometry?

Back

Proportional parts help in solving problems involving similar figures and triangles, allowing for the use of ratios.

Front

If segment VW is a midsegment of triangle KIJ, what is the relationship between segments KI and VW?

Back

Segment VW is parallel to segment KI and its length is half of segment KI.