PLEASE HELP! The vertices of square LMNO are L(0, 2), M(2, 0), N(0,−2), and O(−2, 0). Which of the following shows that its diagonals are congruent perpendicular bisectors of each other? I ATTACHED THE IMAGES.

PLEASE HELP! The Vertices Of Square LMNO Are L(0, 2), M(2, 0), N(0,2), And O(2, 0). Which Of The Following
PLEASE HELP! The Vertices Of Square LMNO Are L(0, 2), M(2, 0), N(0,2), And O(2, 0). Which Of The Following

Answers

Answer 1

Answer:

The fourth one is correct.

Step-by-step explanation:

To show the diagonals are congruent, calculate their lengths using the Distance Formula: d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.

Find the length of LN.

Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.

LN=(0−0)2+(−2−2)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=02+(−4)2‾‾‾‾‾‾‾‾‾‾√

=8‾√

Find the length of MO.

Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.

MO=(−2−2)2+(0−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(−4)2+02‾‾‾‾‾‾‾‾‾‾√

=8‾√

Since LN=MO, by the definition of congruent line segments, LN=MO.

To show the diagonals are perpendicular, calculate their slopes using the Slope Formula: m=y2−y1x2−x1.

Find the slope of LN.

Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.

m1=−2−20−0=−40⇒m1 cannot be defined.

Find the slope of MO.

Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.

m2=0−0−2−2

=0−4

=0

The slope of LN cannot be defined, this means that LN is parallel to y-axis. The slope of MO is equal to 0, this means that MO is parallel to x-axis. x and y axis are perpendicular, therefore LN⊥MO.

The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. Diagonal L N is perpendicular to diagonal M O.

To show the diagonals bisect each other, calculate their midpoints using the Midpoint Formula: P(x1+x22,y1+y22).

Find the midpoint of LN.

Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.

P1(0+02,2+(−2)2)=(0, 0)

Find the midpoint of MO.

Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.

P2(2+(−2)2,0+02)=(0, 0)

Both midpoints are the same point on the coordinate plane. This means the two diagonals intersect at their midpoints, or bisect each other.

The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. The diagonals intersect at point P. Segments L P, P N, M P, and P O are congruent.

Therefore, the diagonals are congruent perpendicular bisectors of each other.


Related Questions

how will rational numbers help in future

Answers

Answer:

They are used to share something among friends , Like if there are four friends and they want to divide a cake equally among themselves , then the quantity of cake that each friend will get will be one-fourth of the cake , That is a rational number 1/4.

Step-by-step explanation:

short answer it won't trust me

Which calculation will ALWAYS give a result greater than 1? A.8/9 × a number less than 1 B.1 2/5 − a fraction less than 25 C. 7 × a number less than 1 D.3/7 + a fraction less than 1/2

Answers

Answer: B.1 2/5 − a fraction less than 2/5

Step-by-step explanation:

Question was not formatted properly and in the proper format, the above is the answer.

1²/₅ - ²/₅ = 1

Any number therefore that is lower than ²/₅ will when subtracted from 1²/₅ give an answer greater than 1 because when ²/₅  was subtracted from  1²/₅, it gave 1 as an answer.

What’s the commutative property of addition ?

Answers

Answer:

Its when you just swthc your thingy

Step-by-step explanation:

2+4=6

turns into

4+2=6

Answer:

When it is opposite

Step-by-step explanation:

In AGHI, h = 300 inches, ZG=30° and ZH=29º. Find the length of i, to
the nearest inch.

Answers

The answer is Stan twice ZG=30

Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
7 in.
7 in.
7 in
Answer here
cu. cm
cu, in
sq. in

Answers

Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

What is 4.4% of 625?

Answers

Answer:

27.5

Step-by-step explanation:

Answer:

Answer: 27.5 and your welcome!!

A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. How far did the car travel in 5 minutes?

Answers

Answer:

3.75 as a decimal

Step-by-step explanation:

What’s the answer? QUICK

Answers

Answer:

Step-by-step explanation:

4 and 1/6

Please I need help math

Answers

Answer

y=4

y=2x-1

Step-by-step explanation:

Y is the vertical axis

What is the value of y in the solution to the following system of equations?
2x + y = -4
5x + 3y = -6

Answers

y= -32

Step-by-step explanation:

step 1: from the first equation you will make X the subject of formula, the equation then becomes;

X= 4-y

2

step 2: substitute X in the second equation, the equation then becomes 5 * [4-y] + 3y = -6

[ 2]

step 3: find the LCM and then cross multiply; 20-5y+6y = -6

2

20+y = -12

y= -12-20

y= -32

Enter your answer and show all the steps that you use to solve this problem in
the space provided.


The two figures shown above are congruent. Identify the corresponding sides and
angles.

Answers

Answer:

Step-by-step explanation:

they're the same figure but turned 90 deg

congruent sides:

AD and RQ

BA and SR

BC and SP

PQ and CD

congruent angles:

D and Q

R and A

B and S

C and P

haven't done this in a minute sorry if this is wrong

A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?

Answers

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

Solve for X.

x+3
4
8

Answers

Answer:

First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"

Will Mark Brainliest

Solve each system by elimination. Show your work

3х – 10 y = 14
3х – 9y = 15

Answers

Answer:

subtracting both equations

3x-10y=14

3x-9y=15

- - =-

_________

0-y=-1

y=1

then putting the value of y in first eqn

3x-10×1=14

3x=24

x=8

so x is 8and y is 1

Factor each polynomial: 9x-6

Answers

Answer:

3(3x−2)

Step-by-step explanation:

2. Express each of the following as a rational number in the form of p/q
Where q≠0


Answers

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)²    (b) (7/9)³  (c) (-2/3)⁴

Solution,

(a) (3/7)²

[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]

(b) (7/9)³

[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]

(c) (-2/3)⁴

[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]

Hence, this is the required solution.

heres what i needed help on

Answers

Answer:

1. 6000

2. 40.83%

3. 51.67%

4. misc

Step-by-step explanation:

1 add all the numbers together

2 divide payroll amt by entire amt

3 add the rent and inventory then divide by total spent in the month

4 300/6000= .5 ( which in percent form( multiply by 100) equals 5%)

find the base (picture attached)

Answers

Answer:

12 yd

Step-by-step explanation:

yo yo yo hi hi hi hi hi  

so b*h=96

so 8b=96

b=12

Will mark as brainliest

Answers

Answer:

p = 1

Step-by-step explanation:

Δ JKH ≅ Δ JIH

therefore KJ corresponds with IJ so you can set both sides equal to each other

10p = p+9

9p = 9

p = 1

Solve the following proportion for u.
3/17 = u/13

Answers

Answer:

2.294117647

Step-by-step explanation:

3/17  =  u/13

Cross multiply:

3 * 13 = 17 * u

Simplifying

3 * 13 = 17 * u

Multiply 3 * 13

39 = 17 * u

Solving

39 = 17u

Move all terms containing u to the left, all other terms to the right.

Add '-17u' to each side of the equation.

39 + -17u = 17u + -17u

Combine like terms: 17u + -17u = 0

39 + -17u = 0

Add '-39' to each side of the equation.

39 + -39 + -17u = 0 + -39

Combine like terms: 39 + -39 = 0

0 + -17u = 0 + -39

-17u = 0 + -39

Combine like terms: 0 + -39 = -39

-17u = -39

Divide each side by '-17'.

u = 2

Simplifying

u = 2.294117647

3/17=u/13
3*13=17u
39=17u
U=39/17=2.29

Explain ASAP PLEASE!!!!!!

Answers

Answer:

C

Step-by-step explanation:

you can make a right triangle from the center of one base to the edge of that circle, and then up to a point on the circumference of the other base

the bases of the triangle would be 2 and 5

so that gives sqrrt 29

The table below shows the number of peaches and cups of water used to make fruit punch according to a certain recipe. Peaches Water (cups) 64 96 56 84 How many cups of water are needed for every 1 peach? Note: Your answer may be exact or rounded to the nearest hundredth. label optional​

Answers

Answer:

fhyedGFYUSEGCFUEGFCYU

Step-by-step explanation:

pay back

Work out the area of this circle with radius 11.2 take pie to be 3.142 and give your answer to 2 decimal places

Answers

Answer:

394.13 to 2 D.P.s

Step-by-step explanation:

Area = pi r^2

= 3.142 * 11.2^2

= 394.132.

The area of this circle up to 2 decimal places will be 394.13 square units.

What is the area of the circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius of the circle is 11.2 units and takes π to be 3.142. Then the area is given as,

A = π x (11.2)²

A = 3.142 x 125.44

A = 394.13 square units

The area of this circle up to 2 decimal places will be 394.13 square units.

More about the area of a circle link is given below.

https://brainly.com/question/11952845

#SPJ5

Could you help me on this, I need to submit soon as well :)

Answers

Answer:

6

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

What is 3 2/3 + 4 3/4 equal to

Answers

Answer:

7 2/3 is the answer but it is equal to 23/3.

Step-by-step explanation

23/3 is an improper fraction. I hope this helps you!

What is standard deviation for 110 120 120 130 140 140 150 160 160 170

Answers

Answer:

Standard Deviation (cont’d)Weights(pounds):110 120 130 140 150 150 160 170 180 190Deviation scores(x) forM = 150:-40 -30 -20 -10 0 0 10 20 30 40 Squared deviation scores(x2):1600 900 400 100 0 0 100 400 900 1600Sum of squared deviation scores:1600+900+400+100+0+0+100+400+900+1600 = 6000SD= √(6000/(N-1) = SD= √(6000/(9) = 25.82Standard Deviation Interpretation•Provides a “standard”—the SDindicates the average amount of deviation of scoresfrom the mean•Tells you how wrong, on average, the mean is•An SDprovides valuable information when the distribution is normal:–There are approximately three SDsabove and below the meanin a normal distribution•In a normal distribution, a fixed percentage of cases lie within certain distances from themeanSDs and Individual Scores•A person who scores one SDbelow the mean has a higher score than 16% of the cases (2.3% + 13.6%)•A person who scores one SDabove the mean has a higher score than 84% of the cases (50.0% + 34.1%)Example: Midterm marks:

Solve.
3.5 x (5.8 - 7.09) =

Answers

Answer:

-4.515

Step-by-step explanation:

3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515

What is the simplest form of this expression?
-x(4x2 - 6x + 1)

Answers

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

What is 14 x 14 x 14 is exponet form

Answers

14^3 so 14 with an exponent of 3

Answer:

14^3

Step-by-step explanation:

A group of seven friends went out for dinner together and they each paid the same amount for their meal. Their total bill was $68.95 what was the cost of one meal
Please answer I really need it <3

Answers

Answer:

9.85

Step-by-step explanation:

$68.95 Divided by seven friends = 9.85

You're Welcome :D

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