When two parallel lines are “cut” by a transversal, some special properties arise. We will begin by stating these properties, and then we can use these properties to solve some problems. Show PROPERTY 1: When two parallel lines are cut by a transversal, then corresponding angles are congruent. In the diagram below, angles 1 and 5 are corresponding, and so they are equal. Similarly with angles 4 and 8, etc.
 PROPERTY 2: When two parallel lines are cut by a transversal, then adjacent angles are supplementary. That is, when two parallel lines are cut by a transversal, then the sum of adjacent angles is \(180^\circ \). In the diagram above, this property tells us that angles 1 and 2 sum to \(180^\circ \). Similarly with angles 5 and 6. EXAMPLE: Solve for \(x\).
SOLUTION: From property 2, we know that the 2 angles \(x + 75\), and \(A\) (so called by me) are supplementary. That is, \(x + 75 + A = 180\) But from property 1, we know that \(A = x + 125\), since those two angles are corresponding. Then \(x + 75 + x + 125 = 180\), so that \(2x + 200 = 180\). Then \(2x = - 20\), and \(x = - 10\). EXAMPLE: Solve for \(x\).
SOLUTION: Since, by property 1, we know that corresponding angles are congruent, we know that \(12x + 3 = 11x + 9\) \(x = 6\) Below you can download some free math worksheets and practice. Printable PDF & Digital Versions are included in this distance learning ready activity which consists of a maze of 11 parallel lines cut by transversal in which students are given angle measures as equations and must decide if they are congruent or supplementary and then solve for x. This Google Classroom and Easel by TPT ready activity come in both digital & PDF format. Your students are sure to have a fun and engaging lesson whether you are teaching physically in the classroom or virtual! Not all boxes are used in the maze to prevent students from just guessing the correct route. In order to complete the maze students will have to calculate the value of X 9 times. Distance learning?
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Answer key is included. Please view the preview for an exact picture of what this maze looks like if you are unsure that this product is right for your classroom. Similar Activities o Click Here for more Parallel Lines & Transversals activities o Click Here for more Math Mazes This product is also part of the following money saving bundles Parallel Lines Cut by a Transversal ~ Activity Bundle 8th Grade Math Bundle - All My 8th Grade Math Products for 1 Low Price High School Geometry Bundle - All My Geometry Products for 1 Low Price Find the resource you need quickly & easily.... Download the FREE Amazing Mathematics Resource Catalog Today!
------------------------------------------------------------------------------------------------------- Sign up for my Secondary Math Newsletter to receive a Free Pi-Rate Plotting Points picture. ------------------------------------------------------------------------------------------------------- ©Copyright Amazing Mathematics LLC This product is to be used by the original purchaser only. This product can NOT be uploaded to the internet by the purchaser. Doing so is a violation of the copyright of this product. Copying for more than one teacher, or for an entire department, school, or school system is prohibited. This product may not be distributed or displayed digitally for public view, uploaded to school or district websites, distributed via email, or submitted to file sharing sites. The unauthorized reproduction or distribution of a copyrighted work is illegal. Criminal copyright infringement, including infringement without monetary gain, is investigated by the FBI and is punishable by fines and federal imprisonment. How do you answer parallel lines cut by a transversal?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 .
What five things happen when two parallel lines are cut by a transversal?Parallel Lines and Transversals Postulates
Corresponding Angles are congruent. Alternate Exterior Angles are congruent. Alternate Interior Angles are congruent. Same Side Interior Angles (Consecutive Interior Angles) sum to 180 degrees.
What are corresponding angles in math?Definition: Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.
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Parallel lines cut by a transversal solving equations answer key
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