MATH 213 Midterm: MATH213_ALL-SECTIONS_FALL2014_0000_MID_EXAM_2

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

Document Summary

Consider the following statement: the diagonals of a parallelogram bisect each other. Identify each of the following statements as true or false: If qrst is a parallelogram and (cid:1843)(cid:1844)(cid:1847)(cid:1542) (cid:1845)(cid:1844)(cid:1847) then qrst is a rhombus. Fill in the missing steps and reasons in the proof below. Prove: (cid:3407)(cid:1831)(cid:1830)(cid:1829) (cid:1542) (cid:3407)(cid:1831)(cid:1829)(cid:1830: (cid:1827)(cid:1829)(cid:3364)(cid:3364)(cid:3364)(cid:3364)(cid:1542)(cid:1828)(cid:1830)(cid:3364)(cid:3364)(cid:3364)(cid:3364, (cid:1827)(cid:1829)(cid:3364)(cid:3364)(cid:3364)(cid:3364) and (cid:1828)(cid:1830)(cid:3364)(cid:3364)(cid:3364)(cid:3364) bisect each other, (cid:1831)(cid:1830)(cid:1829) is isosceles, (cid:3407)(cid:1831)(cid:1830)(cid:1829) (cid:1542) (cid:3407)(cid:1831)(cid:1829)(cid:1830, abcd parallelogram, ae = ce = be = de. For each of the following diagrams, determine if there is enough given information to guarantee that the two triangles shown are congruent. If so, name the triangle congruence and state the appropriate congruence property (e. g. (cid:1827)(cid:1828)(cid:1829) (cid:1542) (cid:1830)(cid:1831)(cid:1832) (cid:1854)(cid:1877) (cid:1845)(cid:1845)(cid:1845)). For each part sketch a venn diagram showing the relationship among the three sets of shapes. Use the definition of trapezoid given in our text: squares, trapezoids, parallelograms, rectangles, rhombuses, kites, kites, quadrilaterals, trapezoids, equilateral triangles, right triangles, isosceles triangles.