Show that quadrilateral DEFG is a parallelogram. E(3, 10) 10 10 -7 slope of DE = 3-(-5) DX-5,7) slope of FG== 8-0 DE - J(3-(-5)* FG = J(8- 0)? + (4– 1)? - F(8, 4) + (10 - 7)2 73 73 The explanation to show that the quadrilateral is a parallelogram is started above for you. Complete the explanation below by filling in [1], [2], and [3]. DE and FG have the same slope, so .. [1] Since DE FG, .. [2] Because [3], DEFG is a parallelogram.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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I don't know how to do [1],[2],and [3]. 

Show that quadrilateral DEFG is a parallelogram.
F(3, 10)
slope of DE = =
10
10 -7
DX-5,7)
slope of FG==
8-0
(3-(-5) + (10- 7) - 73
(8- 0)? + (4 – 1)? = 73
F(8, 4)
DE =
FG =
-5
5
The explanation to show that the quadrilateral is a parallelogram is started above for you.
Complete the explanation below by filling in [1], [2], and [3].
DE and FG have the same slope, so ...
[1]
Since DE = FG,
[2]
....
Because
[3], DEFG is a parallelogram.
Transcribed Image Text:Show that quadrilateral DEFG is a parallelogram. F(3, 10) slope of DE = = 10 10 -7 DX-5,7) slope of FG== 8-0 (3-(-5) + (10- 7) - 73 (8- 0)? + (4 – 1)? = 73 F(8, 4) DE = FG = -5 5 The explanation to show that the quadrilateral is a parallelogram is started above for you. Complete the explanation below by filling in [1], [2], and [3]. DE and FG have the same slope, so ... [1] Since DE = FG, [2] .... Because [3], DEFG is a parallelogram.
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