Basic Theorems of Angles Sophomore Geometry By Shannon

Basic Theorems of Angles Sophomore Geometry By: Shannon Manzella Click to explore Alternate Interior Angles. Click to explore Vertical Angles. Click to explore Corresponding Angles Theorem.

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 C B E A D F 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 F C E B A D 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 D C B A E F 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: //i 289. photobucket. com/albums/ll 232/cajun 154/crying/Sadface. png • http: //www. theschools. com/theschools/curriculum/Sample 10/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/imgres 1. 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/Right. Angle_1000. gif