4 E a. What condition guarantees that the figure is a parallelogram? Condition A b. Why did you say so? Mos II and = RE and MR is Il and OE. 1100 70° 700 1100 a. What condition/s guarantee/s that the figure is a parallelogram? b. Why did you say so? 3. C a. What condition guarantees that the figure is a parallelogram? Condlition C (the dagonals bisect each other) b. Explain your answer. Ei bisect NC, therfore quadrilateral NICE is a parallelogram. 4.
4 E a. What condition guarantees that the figure is a parallelogram? Condition A b. Why did you say so? Mos II and = RE and MR is Il and OE. 1100 70° 700 1100 a. What condition/s guarantee/s that the figure is a parallelogram? b. Why did you say so? 3. C a. What condition guarantees that the figure is a parallelogram? Condlition C (the dagonals bisect each other) b. Explain your answer. Ei bisect NC, therfore quadrilateral NICE is a parallelogram. 4.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Complete answer please
Transcribed Image Text:LE and OV.
nditions for a Quadrilateral to be a Parallelogram
A quadrilateral is said to be a parallelogram if it guarantees or satisfies the
lowing:
a. a pair of opposite sides are both parallel (II) and congruent (E).
In quadrilateral ABCD,
DC is parallel and congruent BA and
13
AD is parallel and congruent CB, therefore it is a parallelogram.
b. opposite angles are congruent and consecutive angles are supplementary.
In quadrilateral QRST,
ZR E LT and 20 LS and
mZR + mzT = 180, therefore it is a parallelogram.
c. the diagonals bisect each other.
In quadrilateral ABCD,
AC bisect DB, therefore it is a parallelogram.
d. each diagonal divides the parallelogram into two congruent triangles.
In the figure AADC = ACBA,
therefore quadrilateral ABCD is a parallelogram.
7
Transcribed Image Text:Study the following parallelograms below and answer the questions given below each
Figure.
1.
M
4
R.
6.
4
E
a. What condition guarantees that the figure is a parallelogram? Condition A
b. Why did you say so? Mois II and = RE and MR is |l and = 0E
2.
1100
70°
700
110°
a. What condition/s guarantee/s that the figure is a parallelogram?
b. Why did you say so?_
3.
E
a. What condition guarantees that the figure is a parallelogram? Conclition C (the dagonals bisect
each other)
b. Explain your answer. Ej bisect NC, therfore quadrilateral NiCE is a parallelogram.
4.
a. State the condition that guarantee/s that the figure is a parallelogram.
b. Explain your answer.
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