Pre-Calculus Homework Solutions 243

# Pre-Calculus - 30 The diagonals other so MQ MQ QP 4w 3 11.1 4w 14.1 w 3.5 31 The diagonals other so RQ RQ QN 3z 3 15.4 3z 18.4 z 6.1 15 C GJ and HK

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245 Chapter 8 15. C; G w J w and H w K w are the diagonals. Since the diagonals of a parallelogram bisect each other, the intersection point is the midpoint of G w J w and H w K w . Find the intersection of the diagonals by finding the midpoint of G w J w . 1 } x 1 1 2 x 2 } , } y 1 1 2 y 2 } 2 5 1 } 2 3 2 1 3 } , } 4 1 2 ( 2 5) } 2 5 (0, 2 0.5) The diagonals intersect at (0, 2 0.5). Pages 415–416 Practice and Apply 16. / DAB > / BCD because opposite angles of a parallelogram are congruent. 17. / ABD > / CDB because alternate interior angles are congruent. 18. A w B w i D w C w because opposite sides of a parallelogram are parallel. 19. B w G w > G w D w because the diagonals of a parallelogram bisect each other. 20. n ABD > n CDB because the diagonal B w D w separates the parallelogram into two congruent triangles. 21. / ACD > / BAC because alternate interior angles are congruent. 22. / RNP > / NRM because they are alternate interior angles. So, m / RNP 5 38. Find m / MNP . m
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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