How Do You Use Parallel and Perpendicular Theorems to Prove a Relationship Between Two Lines?

How Do You Use Parallel and Perpendicular Theorems to Prove a Relationship Between Two Lines?

Note:

Parallel and perpendicular lines can be found in all sorts of places! In this tutorial, see how to use your knowledge of parallel and perpendicular lines to solve a word problem.

Keywords:

parallel

perpendicular

theorem

theorems

line

lines

perpendicular transversal theorem

problem

Background Tutorials

Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, ax + by = c, and y - y1 = m(x - x1)

Parallel lines are lines that will go on and on forever without ever intersecting. This is because they have the same slope! If you have two linear equations that have the same slope but different y-intercepts, then those lines are parallel to one another!

Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other. Their product is -1! Watch this tutorial and see how to determine if two equations are perpendicular.

Further Exploration

Investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools

Got a diagram of a transversal intersecting parallel lines? Trying to figure out all the angle measurements? Take a look at this tutorial, and you'll see how find all the missing angle measurements by identifying vertical, corresponding, adjacent, and alternate exterior angles!