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When given two parallel lines (//) When given two parallel lines (//) two lines When given two parallel lines (//) that are cut by a transversal When given two lines that are cut by a transversal transversal When given two lines that are cut by a transversal there are several angles pairs with special names Alternate Interior 2 1 Same Side Interior 1 2 Corresponding 1 2 Each of these angles make a certain shape Each of these angles make a certain shape Alternalte Interior angles makes a 'Z' shape Each of these angles make a certain shape Alternate Interior angles makes a 'Z' shape 2 1 alternate interior angles Each of these angles make a certain shape Alternate Interior angles makes a 'Z' shape 2 1 Each of these angles make a certain shape Alternate Interior angles makes a 'Z' shape 2 1 Z shape Each of these angles make a certain shape Alternate Interior angles makes a 'Z' shape So if there is something like a Z shape Each of these angles make a certain shape Alternate Interior angles makes a 'Z' shape So if there is something like a Z shape something Z shape like a Each of these angles make a certain shape Alternate Interior angles makes a 'Z' shape So if there is something like a Z shape then the angles are alternate interior Each of these angles make a certain shape Alternate Interior angles makes a 'Z' shape So if there is something like a Z shape then the angles are alternate interior 1 2 Each of these angles make a certain shape Alternate Interior angles makes a 'Z' shape So if there is something like a Z shape then the angles are alternate interior 1 2 alternate interior angles Which set of angles are in the z shape? ∡4,∡5 ∡8,∡3 ∡6,∡4 ∡3,∡6 1 3 2 5 4 7 6 8 Which set of angles are in the z shape? ∡3,∡6 1 3 2 5 4 7 6 8 Which set of angles are in the z shape? ∡3,∡5 ∡6,∡3 ∡2,∡7 ∡4,∡5 1 3 2 5 4 7 6 8 Which set of angles are in the z shape? ∡4,∡5 1 3 2 5 4 7 6 8 Alternate Interior Angles are always Congruent if the lines are Parallel (∕∕)! ∡4,∡5 1 3 2 5 4 7 6 8 Another set is same side interior Another set is same side interior 1 2 Another set is same side interior same side interior angles make a 'bracket' shape 1 2 Another set is same side interior same side interior angles make a 'bracket' shape AND they are supplementary! 1 2 Another set is same side interior same side interior angles make a 'bracket' shape AND they aresupplementary! 1 2 Bracket Supplementary angles . . . Add up to 90 degrees Add up to 180 degrees Are Congruent Are across from each other Add up to 180 degrees Supplementary angles . . . Another set is same side interior same side interior angles make a 'bracket' shape so if there is a bracket shape Another set is same side interior same side interior angles make a 'bracket' shape so if there is a bracket shape Another set is same side interior same side interior angles make a 'bracket' shape so if there is a bracket shape Bracket Another set is same side interior same side interior angles make a 'bracket' shape so if there is a bracket shape these angles are same side interior Another set is same side interior same side interior angles make a 'bracket' shape so if there is a bracket shape these angles are same side interior 1 2 Another set is same side interior same side interior angles make a 'bracket' shape so if there is a bracket shape these angles are same side interior 1 2 Same side interior ∡4,∡6 ∡3,∡7 ∡5,∡3 ∡2,∡8 1 3 2 5 4 7 6 8 And these angles are Supplementary! 1 ∡5,∡3 3 2 5 4 7 6 8 Supplementary angles . . . Are across from each other Are Congruent Add up to 180 degrees Add up to 90 degrees ∡3,∡5 ∡4,∡7 ∡6,∡3 ∡4,∡6 1 3 2 5 4 7 6 8 Another set of angles is corresponding angles Another set of angles is corresponding angles 1 2 Another set of angles is corresponding angles Corresponding angles make an 'F' shape 1 2 Another set of angles is corresponding angles Corresponding angles make an 'F' shape AND Corresponding angles are congruent! 1 2 Another set of angles is corresponding angles Corresponding angles make an 'F' shape AND Corresponding angles are congruent! 1 2 'F' shape Another set of angles is corresponding angles Corresponding angles make an 'F' shape So if there is an 'F' shape Another set of angles is corresponding angles Corresponding angles make an 'F' shape So if there is an 'F' shape Another set of angles is corresponding angles Corresponding angles make an 'F' shape So if there is an 'F' shape 'F' shape Another set of angles is corresponding angles Corresponding angles make an 'F' shape So if there is an 'F' shape The angles in that shape are corresponding Another set of angles is corresponding angles Corresponding angles make an 'F' shape So if there is an 'F' shape The angles in that shape are corresponding 1 2 Another set of angles is corresponding angles Corresponding angles make an 'F' shape So if there is an 'F' shape The angles in that shape are corresponding 1 2 Corresponding Angles What angles are in the bracket? ∡1,5 ∡4,∡6 ∡3,∡5 ∡8,∡4 1 3 2 5 4 7 6 8 What angles are in the bracket? 1 ∡4,∡6 3 2 5 4 7 6 8 THEY ADD TO 180! And angles 4 and 6 are Supplementary 1 3 2 5 4 7 6 8 What angles are in the 'F' shape? ∡3,∡7 ∡5,∡7 ∡1,∡3 ∡1,∡7 1 3 2 5 4 7 6 8 Another set of angles is Vertical angles Vertical angles make an 'X' shape So if there is an 'X' shape . . . Another set of angles is Vertical angles Vertical angles make an 'X' shape So if there is an 'X' shape, then they are Vertical Angles! 1 2 What angle is a Vertical Angle with∡6 (in the X)? ∡5 ∡7 ∡8 ∡3 1 3 2 5 4 7 6 8 VERTICAL ANGLES ARE ALWAYS CONGRUENT! What angle is a Vertical Angle with∡6 (in the X)? ∡7 1 3 2 5 4 7 6 8 Corresponding ∡s 'F' Shape ? Same Side Interior ∡s Match the following: Bracket ? Alternate Interior ∡s 'Z' Shape ? Same Side Interior ∡s ? Bracket Match the following: Alternate Interior ∡s ? 'Z' Shape Corresponding ∡s ? 'F' Shape Vertical angles . . . Add up to 90 degrees Add up to 180 degrees Are Congruent Are next to each other Supplementary angles . . . Add up to 90 degrees Add up to 180 degrees Are Congruent Are next to each other Complementary angles . . . Add up to 90 degrees Add up to 180 degrees Are Congruent Are next to each other Alternate Interior angles . . . Add up to 90 degrees Add up to 180 degrees Are Congruent Are next to each other Same Side Interior angles . . . Add up to 90 degrees Add up to 180 degrees Are Congruent Are next to each other Corresponding angles . . . Add up to 90 degrees Add up to 180 degrees Are Congruent Are next to each other Two angles that make a straight line are called: Complementary Supplementary Vertical Angles Adjacent Congratulations. You Finished this lesson. You are much smarter now. |