Chapter 2 Assignment MATH 302 NAME: ______________________________________ Chapter 2 Assignment Directions: All work must be shown to receive credit. You may collaborate with others to come up with a solution, but all work submitted must be your own. 1. If r s in the figure for Problem 2 below, list an example of each and explain your reasoning using a theorem from Section 2.1. One pair of congruent angles: _______________________________________________________________________ Reasoning: ____________________________________________________________________________________________ A second pair of congruent angles: _________________________________________________________________ Reasoning: ____________________________________________________________________________________________ One pair of supplementary angles: _________________________________________________________________ Reasoning: ____________________________________________________________________________________________ A second pair of supplementary angles: ____________________________________________________________ Reasoning: ____________________________________________________________________________________________ 2. Given: r s m3=x+ 3 y , m8=11 x3 y , and m6=3 x Find: x, y, and 1 2 3 4 5 6 r m 2 7 8 s Chapter 2 Assignment MATH 302 3. Given: m n , 1 2 , and 3 4 NAME: ______________________________________ m Prove: 2 and 3 are complementary E A 1 2 F C 3 4 D n B Chapter 2 Assignment MATH 302 4. Given: A is supplementary to C CD AB NAME: ______________________________________ Prove: A C B D Chapter 2 Assignment MATH 302 NAME: ______________________________________ 5. Section 2.4 #23 6. Section 2.4 #16 Chapter 2 Assignment MATH 302 NAME: ______________________________________ 7. Find the number of diagonals, the measure of an interior angle, and the measure of an exterior angle for a regular pentagon. 8. Section 2.5 #27