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Transcript

Basic Theorems of Angles Sophomore Geometry By: Shannon Manzella Alternate Interior Angles Theorem • The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. – A Transversal is a line that intersects a system of other lines. Click on the transversal to continue Alternate Interior Angles Theorem Alternate Interior Angles are the angles “Alternate” the transversal ... and Inside or “interior” of the parallel lines When you see this yellow arrow, click it to move on Alternate Interior Angles Theorem Which are the other pair of Alternate Interior Angles? A and E C and D B and E F and C Correct ! Aren’t you acute-y? When you see this yellow house, click it to return to home and explore another theorem Incorrect, Please try again When you see this yellow arrow, click it to go back and try again Vertical Angles Theorem • The Vertical Angles Theorem states that Vertical angles are always congruent. • Vertical Angles are each of the pairs of opposite angles made by two intersecting lines. Click on one of the Vertical Angles to continue Vertical Angles Theorem Try thinking of Vertical Angles as “opposites” The angles share the same lines but are on the opposite end of those lines When you see this yellow arrow, click it to move on Vertical Angles Theorem Which is another pair of Vertical Angles? A and E C and D B and E C and B Correct ! Are you a 90⁰ angle? Because you’re looking right! When you see this yellow house, click it to return to home and explore another theorem Incorrect, Please try again When you see this yellow arrow, click it to go back and try again Corresponding Angles Theorem • When two parallel lines are cut by a transversal, the resulting corresponding angles are congruent. • Parallel lines are two lines on a plane that never meet. They are always the same distance apart. Click on the parallel lines to continue Corresponding Angles Theorem Corresponding Angles “correspond” to each other. It almost looks as if they are the same angle, but they are on the different parallel lines When you see this yellow arrow, click it to move on Corresponding Angles Theorem Which is another pair of Corresponding Angles? A and E C and A B and E C and B Correct ! Honey, you must be sweeter than pie! When you see this yellow house, click it to return to home and explore another theorem Incorrect, Please try again When you see this yellow arrow, click it to go back and try again Cite Page • http://i289.photobucket.com/albums/ll232/cajun154/crying/Sadface. png • http://www.theschools.com/theschools/curriculum/Sample10/graphi cs/obtuse.jpg • http://www.funnyjunk.com/funny_pictures/1074272/Math • http://hotmath.com/hotmath_help/topics/alternate-interior-anglestheorem.html • http://www.geekosystem.com/wpcontent/uploads/2010/08/imgres1.jpeg Cite Page • http://www.thefreedictionary.com/transversal • http://hotmath.com/hotmath_help/topics/vertical-anglestheorem.html • http://www.mathopenref.com/coplanar.html • http://www.mathsisfun.com/definitions/parallel-lines.html • http://hotmath.com/hotmath_help/topics/corresponding-anglespostulate.html • http://mathworld.wolfram.com/images/eps-gif/RightAngle_1000.gif