mores.pics | Update Everything
Answer:
True
Step-by-step explanation:
we know that
The opposite sides of a parallelogram are parallel and the length of their sides is equal.
step 1
Find the slope of each side
we know that
If two lines are parallel then their slopes are the same
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
one side
[tex]A(-4,1)\ B(-7,2)[/tex]
Substitute the values
[tex]m1=\frac{2-1}{-7+4}[/tex]
[tex]m1=\frac{1}{-3}[/tex]
[tex]m1=-\frac{1}{3}[/tex]
opposite side
[tex]A(-3,4)\ B(-6,5)[/tex]
Substitute the values
[tex]m2=\frac{5-4}{-6+3}[/tex]
[tex]m2=\frac{1}{-3}[/tex]
[tex]m2=-\frac{1}{3}[/tex]
compare
m1=m2
therefore
both lines are parallel
step 2
Find the distance
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
one side
[tex]A(-4,1)\ B(-7,2)[/tex]
Substitute the values
[tex]d1=\sqrt{(2-1)^{2}+(-7+4)^{2}}[/tex]
[tex]d1=\sqrt{(1)^{2}+(-3)^{2}}[/tex]
[tex]d1=\sqrt{10}\ units[/tex]
opposite side
[tex]A(-3,4)\ B(-6,5)[/tex]
Substitute the values
[tex]d2=\sqrt{(5-4)^{2}+(-6+3)^{2}}[/tex]
[tex]d2=\sqrt{(1)^{2}+(-3)^{2}}[/tex]
[tex]d2=\sqrt{10}\ units[/tex]
Compare
d1=d2
Both sides have the same length
so
1) Both lines are parallel
2) Both sides have the same length
therefore
The statement is True
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: homework.study.com
Source: www.gauthmath.com
Source: www.gauthmath.com
Source: www.chegg.com
Source: www.chegg.com
Source: www.numerade.com
Source: www.numerade.com
Source: www.congress-intercultural.eu
Source: www.meritnation.com
Source: mungfali.com
Source: www.numerade.com
Source: www.coursehero.com
Source: askfilo.com
Source: www.reddit.com
Source: www.chegg.com
Source: math.stackexchange.com
Source: math.stackexchange.com
Source: www.chegg.com
Source: study.com
Source: www.chegg.com
SOLVED:Parallelogram Show that the points (2 2 2) (0 1 2) ( 1 3 3
Source: www.numerade.com
E is a point on the side AD produced of a parallelogram ABCD and BE inter
Source: askfilo.com
Solved Q1 (5 points) Let 2 3 ů and ů Compute the Chegg com
Source: www.chegg.com
Solved: one side of a parallelogram has endpoints (3 3) and (1 7) what (2 2) 6) 1) 5) the at 5 graph shows solved i am two my sides are parallel to chegg com bottom solved:open ended draw with twice as long parallelogram: congruent 44% off solve it 1 prove that in (i) opposite diagonals same area docx is dimensional geometrical 9 20 cm its distance from opposit specific angle parallelogram? : r/powerpoint consider identified by points geometry extending another find given width point) abcd vertices how lengths where include midpoints solved:parallelogram show 2 (0 ( 3 e point on ad produced be inter q1 (5 points) let ů compute