# Angles formed by parallel perpendicular and intersecting lines worksheet

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## Parallel Lines, and Pairs of Angles

Writing Equations of Lines Parallel and Perpendicular to a Given Line Through a Point

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When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles. When the lines are parallel, the corresponding angles are congruent. When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles. If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary. When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles. If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent. When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles.

Let's examine these pairs of angles in relation to parallel lines:. Alternate interior angles are " interior " between the parallel lines , and they " alternate " sides of the transversal. Notice that they are not adjacent angles next to one another sharing a vertex. When the lines are parallel, the alternate interior angles are equal in measure. Alternate exterior angles are " exterior " outside the parallel lines , and they " alternate " sides of the transversal.

Frequently, one of the most difficult things for students to grasp is proper terminology for familiar ideas. Learning the terms associated with line segment slope relationships is no exception. These lesson plans for teaching parallel, perpendicular and intersecting lines should help students understand these new terms by attaching them to familiar real-life examples. While these definitions may not be troublesome for most adults, students hearing this for the first time might feel overwhelmed and be easliy lost in the terminology. Drawing a picture to support each term is a good place to start, but may not help students remember the information as each subsequent line slope relationship is explained.

Angles Formed by Parallel,. - Perpendicular, and Intersecting Lines et -- lian - Remember. 1. If two parallel lines are cut by a transversal, the resulting angles.
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This module deals with parallel, perpendicular and intersecting lines. Exercises and word problems will help improve the skills to identify and differentiate between parallel, perpendicular and intersecting lines. Self-descriptive charts will help you learn symbolic representation and characteristics of parallel, perpendicular and intersecting lines. Chart 1 Chart 2 Chart 3. These printable worksheets will assist the students to differentiate the lines based on their geometrical properties. Identify whether the lines are parallel, perpendicular or intersecting lines. Sheet 1 Sheet 2 Sheet 3.

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The angles formed by a transversal to a pair of parallel lines and their properties are discussed next. PQ and RS are two parallel lines. A third line 'm' intersects them at X and Y. Hence 'm' is transversal to the two parallel lines. Refer figure at the top. In the adjacent animation, two parallel lines PQ and RS are cut by a transversal 'm'.

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching assuming that these lines are on the same plane. As you can see from the diagram below, these lines have the same slope 2 are never going to intersect. Yes these lines have the same slope , 2, and clearly are never going to intersect. They are not perpendicular because their slopes are not negative reciprocals of one another. Free Algebra Solver

Here is a graphic preview for all of the Parallel and Perpendicular Lines Worksheets. You can select different variables to customize these Parallel and Perpendicular Lines Worksheets for your needs. The Parallel and Perpendicular Lines Worksheets are randomly created and will never repeat so you have an endless supply of quality Parallel and Perpendicular Lines Worksheets to use in the classroom or at home. We have identifying parallel lines, identifying perpendicular lines, identifying intersecting lines, identifying parallel, perpendicular, and intersecting lines, identifying parallel, perpendicular, and intersecting lines from a graph, Given the slope of two lines identify if the lines are parallel, perpendicular or neither, Find the slope for any line parallel and the slope of any line perpendicular to the given line, Find the equation of a line passing through a given point and parallel to the given equation, Find the equation of a line passing through a given point and perpendicular to the given equation, and determine if the given equations for a pair of lines are parallel, perpendicular or intersecting for your use. Our Parallel and Perpendicular Lines Worksheets are free to download, easy to use, and very flexible. Identifying Parallel Lines Worksheets These Parallel and Perpendicular Lines Worksheets are great for practicing identifying parallel lines from pictures.

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