# Proving lines parallel homework

Numerically, the midpoint of a segment can be considered to be the average of its endpoints. This concept helps in remembering a formula for finding the midpoint of a segment given the coordinates of its endpoints. Recall that the average of two numbers is found by dividing their sum by two. Theorem If the coordinates of A and B are x 1 , y 1 and x 2 , y 2 respectively, then the midpoint, M , of AB is given by the following formula Midpoint Formula. Find its coordinates and use the Distance Formula to verify that it is in fact the midpoint of QT.

## Angles Formed by Parallel Lines and Transversal

You have probably had the experience of standing in line for a movie ticket, a bus ride, or something for which the demand was so great it was necessary to wait your turn. However, in geometry, there are three types of lines that students should understand. Two or more lines that meet at a point are called intersecting lines. That point would be on each of these lines. In Figure 1 , lines l and m intersect at Q.

### Unit 2_ logic and proof homework 8 segment proofs answers

A transversal is a line that intersects two lines in the same plane at two different points. In the diagram shown below, let the lines 'a' and 'b' be parallel. Because the line 't' cuts the lines 'a' and 'b', the line 't' is transversal. So, the two parallel lines 'a' and 'b' cut by the transversal 't'.
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