MATH 213 Study Guide - Midterm Guide: Parallel Postulate, Angle, Venn Diagram

• School: University of Maryland
• Department: Mathematics
• Course: MATH 213
• Professor: All

Document Summary

Consider the arrangement of sun, earth, and moon shown below. As usual, assume we are looking down on the north pole. Complete the following argument by filling in the blanks with the appropriate reasons from the list below: Alternate interior angles are congruent when lines are parallel. Corresponding angles are congruent when lines are parallel (parallel postulate). Goal: prove (cid:3407)1(cid:1542) (cid:3407)3 (cid:3407)1(cid:1542) (cid:3407)2 because _________________________________________________________________________. (cid:3407)2(cid:1542) (cid:3407)3 because _________________________________________________________________________. (cid:3407)1(cid:1542) (cid:3407)3 because _________________________________________________________________________. For each of the diagrams below, find the value of x. Show work: a student is trying to make a tiling out of regular decagons and equilateral triangles. He tries to surround a vertex with two decagons and one equilateral triangle. For each pair of triangles below, determine if there is enough information to prove they are congruent. If so, name the congruence and the appropriate property (e. g. (cid:1827)(cid:1828)(cid:1829)(cid:1542) (cid:1830)(cid:1831)(cid:1832) (cid:1854)(cid:1877) (cid:1845)(cid:1827)(cid:1845)).