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# Wk 3 - Lauren Sims MTH 210 4.1 Parallelograms 20 True 26...

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Lauren Sims March 19, 2011 MTH 210 4.1 Parallelograms 20. True 26. Given angle 1 supplementary to angle 2; line VW congruent line ZY Prove: VWYZ is a parallelogram 1. Angle 1 is supplementary to angle 2; line VW congruent line ZY – Given 2. Line VW ║line ZY – If 2 int. angles on same side trans. are supp. lines are 3. VWYZ is - If one pair of opp. sides of quad. are congruent and ║, the quad. is 28. (2x + 20) + (x – 50) = 180 X = 70 4.2 Rhombus and Kite 2. (a) Isosceles triangle because line AB and line CD are a pair of congruent consecutive sides. (b) Right triangle because one diagonal of a kite is ┴ bisector of the other

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(c) No because a kite has two distinct pairs of congruent consecutive sides. 12. Given: parallelogram ABCD is a rhombus, line BE ┴ ne AD line DF ┴ line BC Prove: line BE congruent line DF 1. Parallelogram ABCD is a rhombus, line BE ┴ line AD, line DF ┴ line BC – given 2. Angle AEB and angle CFD are right angles - ┴ form right angles 3. ∆AEB and ∆CFD are right ∆’s – def. of right ∆ 4. Line AB congruent line CD – All sides rhombus congruent 5. Angle A congruent angle C – opp. angles of parallelogram congruent 6.
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