Mathematics: The coordinates of the endpoints of ab and cd are a(2,3), b(8, 1), c(5,2), and d(6,5). which statement about theline segments is true? • ab 1 cd, but cd does not bisect ab.• ab i cd, and cd bisects ab.• ab is not i to cd, but cd bisects ab.• ab is not i to cd, and cd does not bisect ab.

The coordinates of the endpoints of ab and cd are

Ответ:

taemarie1

30.12.2021

Option 1: CD is a perpendicular bisector of AB

Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

Formula to find slope

$m= \frac{y_2-y_1}{x_2-x_1}$

Formula to Find Distance between two points

$D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

mAB ( represents , Slope of AB )

1. $mAC= \frac{3-2}{2-5}=\frac{1}{-3}=-\frac{1}{3}$

2. $mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}$

3. $mCD=\frac{5-2}{6-5}=\frac{3}{1}=3$

4. $AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

5. $BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

mAC = mBC , and C is common point , hence these three are collinear points making a straight line whole slope is $-\frac{1}{3}$

$mAB=-\frac{1}{3}$

mCD=3

$mAB \times mCD = -\frac{1}{3} \times 3 = -1$

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

The coordinates of the endpoints of ab and cd are a(2,3), b(8, 1), c(5,2), and d(6,5). which stateme

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Ответ:

jetblackcap

23.12.2022

Mathematics

9 3/4

Step-by-step explanation:

Pounds of bananas=2 7/8

=23/8

Pounds of apple=3 1/2

=7/2

2 bags of oranges=2 3/4 each

11/4 each.

Total pounds of oranges=2(11/4)

=22/4

Total pounds of fruits Marisol bought from the market=pounds of bananas+pounds of apples+pounds of oranges

=28/8+7/2+22/8

Find the L.C.M and add them

The L.C.M=8

Total pounds of fruits =28+28+22/8

=78/8

=9 6/8

Equivalent to

9 3/4

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The coordinates of the endpoints of ab and cd are a(2,
3), b(8, 1), c(5,2), and d(6,5). which statement about the
line segments is true?
• ab 1 cd, but cd does not bisect ab.
• ab i cd, and cd bisects ab.
• ab is not i to cd, but cd bisects ab.
• ab is not i to cd, and cd does not bisect ab.

Ответ:

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