MATH 213 Final: MATH213_ALL-SECTIONS_SPRING2011_0000_FINAL_EXAM

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

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__________ c. it is possible for a shape to be both a rectangle and a rhombus. __________ d. when light reflects off of a surface, the incoming light ray is perpendicular to the reflected ray. __________ e. the intersection of two spheres can be a circle. __________ f. it is possible for three lines to divide a plane into 6 regions. __________ g. it is possible for a shape to be both a prism and a pyramid. __________ h. it is possible for a shape to be a non-convex polyhedron. Consider the diagram at right: given (cid:1827)(cid:1828)(cid:1829) (cid:1861)(cid:1871) (cid:1861)(cid:1871)(cid:1867)(cid:1871)(cid:1855)(cid:1857)(cid:1864)(cid:1857)(cid:1871) (cid:1875)(cid:1861)(cid:1872)(cid:1860) (cid:1827)(cid:1828)(cid:3364)(cid:3364)(cid:3364)(cid:3364) (cid:1542) (cid:1828)(cid:1829)(cid:3364)(cid:3364)(cid:3364)(cid:3364) can we prove. Cite relevant theorems, postulates, or definitions as needed. Cite relevant theorems, postulates, or definitions as needed. (cid:3364)(cid:3364)(cid:3364)(cid:3364)(cid:3364) (cid:1542) (cid:1828)(cid:1829)(cid:3364)(cid:3364)(cid:3364)(cid:3364) (cid:2183)(cid:2196)(cid:2186) (cid:1828)(cid:1830)(cid:3364)(cid:3364)(cid:3364)(cid:3364) (cid:1854)(cid:1861)(cid:1871)(cid:1857)(cid:1855)(cid:1872)(cid:1871) (cid:3407)(cid:1827)(cid:1828)(cid:1829) can. Given statement: the diagonals of a square are perpendicular. If a figure has perpendicular diagonals then it is a square.