Mathematics
Mathematics, 22.06.2019 02:00, kiekie1986

If the angle bisectors of a pair of opposite angles of a quadrilateral are the opposite sides of a parallelogram formed by the two angle bisectors and two sides of the quadrilateral, is the quadrilateral always a parallelogram? explain your answer.

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Mathematics, 29.06.2019 18:00, missayers172
If the angle bisectors of a pair of opposite angles of a quadrilateral are the opposite sides of a parallelogram formed by the two angle bisectors and two sides of the quadrilateral, is the quadrilateral always a parallelogram? explain your answer.
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Mathematics, 29.07.2019 05:10, shadow29916
Which of the following conditions in a quadrilateral proves it is a parallelogram? a. one pair of opposite sides are congruent. b. one angle is supplementary to both consecutive angles. c. one pair of opposite angles are congruent. d. the diagonals are congruent.
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Mathematics, 26.08.2019 03:00, july00
Which of the following conditions in a quadrilateral proves it is a parallelogram? a. one pair of opposite sides are congruent. b. one angle is supplementary to both consecutive angles. c. one pair of opposite angles are congruent. d. the diagonals are congruent.
Answers: 2
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Mathematics, 28.09.2019 09:00, risolatziyovudd
The figure below shows a quadrilateral abcd. sides ab and dc are congruent and parallel a quadrilateral abcd is shown with the opposite sides ab and dc shown parallel and equal a student wrote the following sentences to prove that quadrilateral abcd is a parallelogram: side ab is parallel to side dc so the alternate interior angles, angle abd and angle cdb, are congruent. side ab is equal to side dc and db is the side common to triangles abd and bcd. therefore, the triangles abd and cdb are congruent by sss postulate. by cpctc, angles dbc and bda are congruent and sides ad and bc are congruent. angle dbc and angle bda form a pair of alternate interior angles. therefore, ad is congruent and parallel to bc. quadrilateral abcd is a parallelogram because its opposite sides are equal and parallel. which statement best describes a flaw in the student's proof? 1.angle dbc and angle adb form a pair of vertical angles which are congruent. 2.triangles abd and cdb are congruent by the sas postulate. 3. triangles abd and bcd are congruent by the aas postulate. 4.angle dbc and angle adb form a pair of corresponding angles which are congruent.
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