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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 Winter '11
 Arthur
 Geometry, Parallelograms, Hypotenuse, triangle, Rectangle, congruent line

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