Mathematics, 30.10.2019 00:31 nadinealonzo7853

What is the most precise name for a quadrilateral abcd with vertices a(-5,2),b(-3,5), c(4,5) and d(2,2)

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Answer from: roxygreeneyes

The most precise name for a quadrilateral ABCD is a parallelogram

Step-by-step explanation:

step 1

Draw the figure

we have that

The coordinates of a quadrilateral are

A(-5,2),B(-3,5), C(4,5) and D(2,2)

using a graphing tool

Plot the coordinates to better understand the problem

see the attached figure

step 2

Find the length sides of the quadrilateral

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the length side AB

A(-5,2),B(-3,5)

substitute in the formula

$d=\sqrt{(5-2)^{2}+(-3+5)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$d_A_B=\sqrt{13}\ units$

Find the length side CD

C(4,5), D(2,2)

substitute in the formula

$d=\sqrt{(2-5)^{2}+(2-4)^{2}}$

$d=\sqrt{(-3)^{2}+(-2)^{2}}$

$d_C_D=\sqrt{13}\ units$

Find the length side AD

A(-5,2), D(2,2)

substitute in the formula

$d=\sqrt{(2-2)^{2}+(2+5)^{2}}$

$d=\sqrt{(0)^{2}+(7)^{2}}$

$d_A_D=7\ units$

Find the length side BC

B(-3,5), C(4,5)

substitute in the formula

$d=\sqrt{(5-5)^{2}+(4+3)^{2}}$

$d=\sqrt{(0)^{2}+(7)^{2}}$

$d_B_C=7\ units$

step 3

Find the slope of the length sides of the quadrilateral

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Find the slope of the length side AB

A(-5,2),B(-3,5)

substitute in the formula

$m=\frac{5-2}{-3+5}$

$m_A_B=\frac{3}{2}$

Find the slope of the length side CD

C(4,5), D(2,2)

substitute in the formula

$m=\frac{2-5}{2-4}$

$m_C_D=\frac{3}{2}$

Find the slope of the length side AD

A(-5,2), D(2,2)

substitute in the formula

$m=\frac{2-2}{2+5}$

m_A_D=0 ----> is a horizontal line

Find the slope of the length side BC

B(-3,5), C(4,5)

substitute in the formula

$m=\frac{5-5}{4+3}$

m_B_C=0 ----> is a horizontal line

step 4

Compare the length sides

$d_A_B=\sqrt{13}\ units$

$d_C_D=\sqrt{13}\ units$

$d_A_D=7\ units$

$d_B_C=7\ units$

opposite sides are congruent

step 5

Compare the slopes

Remember that

If the lines are parallel, then their slopes are the same

$m_A_B=\frac{3}{2}$

$m_C_D=\frac{3}{2}$

m_A_D=0

m_B_C=0

opposite sides are parallel

therefore

The most precise name for a quadrilateral ABCD is a parallelogram

What is the most precise name for a quadrilateral abcd with vertices a(-5,2),b(-3,5), c(4,5) and d(2

Answer from: Quest

take the top number and divide it by a the bottom number

step-by-step explanation:

1/2 1 divied by 2 = .5

Answer from: Quest

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

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What is the most precise name for a quadrilateral abcd with vertices a(-5,2),b(-3,5), c(4,5) and d(2...

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