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Mathematics 7 Online
OpenStudy (tylermckinney16):

help please.

OpenStudy (tylermckinney16):

Questions here.

OpenStudy (tylermckinney16):

@Directrix

Directrix (directrix):

Read the coordinates of points A, B, C, and D from the graph and post them here. We will need those to get the slopes of the segments.

OpenStudy (tylermckinney16):

A is 2,1/2 B is 2,4 C is 61/2 D is 6,4 is this right? @Directrix

OpenStudy (tylermckinney16):

@Directrix

Directrix (directrix):

Where does the comma go for these coordinates: C is 61/2

Directrix (directrix):

I think that the coordinates are messed up. See attached.

OpenStudy (tylermckinney16):

Oh ok.

Directrix (directrix):

>>A is 2,1/2 B is 2,4 C is 61/2 D is 6,4 is this right? No, start over. Start at the origin. Point A is 1 over and 3 up so A is (1, 3).

OpenStudy (tylermckinney16):

Oh ok i understand.

OpenStudy (tylermckinney16):

B is 4,3 C is 7,7 D is 3,7

Directrix (directrix):

Check D again.

OpenStudy (tylermckinney16):

Oh 4,7 lol

Directrix (directrix):

A is (1, 3) B is (4,3) C is (7,7) D is (4,7 ) What is the slope of segment AB? A is (1, 3) ; B is (4,3) http://calculator.tutorvista.com/slope-calculator.html

OpenStudy (tylermckinney16):

Slope(m)= 0

Directrix (directrix):

ok

OpenStudy (tylermckinney16):

Yeah.

Directrix (directrix):

What is the slope of segment CD? C(7,7) ; D(4,7)

OpenStudy (tylermckinney16):

Slope(m)=0

Directrix (directrix):

If two lines have the same slope, then they are parallel. Segment AB is parallel to segment CD because both segments have a slope of 0.

Directrix (directrix):

Next step is to show segment BC parallel to segment DA.

OpenStudy (tylermckinney16):

ok

Directrix (directrix):

What is the slope of segment BC ? (You can look up the coordinates this time.)

OpenStudy (tylermckinney16):

Slope(m)=1.333

Directrix (directrix):

That is 4/3 in disguise.

Directrix (directrix):

What is the slope of segment DA?

OpenStudy (tylermckinney16):

Slope(m)= 1.333

Directrix (directrix):

Segment BC is parallel to segment DA because both segments have a slope of 4/3.

OpenStudy (tylermckinney16):

Oh ok

Directrix (directrix):

A is (1, 3) B is (4,3) C is (7,7) D is (4,7 ) --------- Theorem: If two lines have the same slope, then they are parallel. Therefore, Segment AB is parallel to segment CD because both segments have a slope of 0. Segment BC is parallel to segment DA because both segments have a slope of 4/3. --------- Quadrilateral ABCD is a parallelogram because it has both pairs of opposite sides parallel. By definition, ABCD is a parallelogram.

OpenStudy (tylermckinney16):

Is that what i put as the answer?

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