Given:In quadrilateral WXYZ , and bisect each other at point A.
Prove: Quadrilateral WXYZ is a parallelogram.






Statement

Reason

1. and bisect each other. given
2. WA = YA
XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a
parallelogram.

definition of parallelogram

Answers

Answer 1

Answer:

Given:In quadrilateral WXYZ , and bisect each other at point A.

Prove: Quadrilateral WXYZ is a parallelogram.

Statement

Reason

1. and bisect each other. given

2. WA = YA

XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a

parallelogram.

definition of parallelogramTriangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.


Related Questions

Which are shown on the diagram? Check all that apply.

Answers

LJK and mj and jk is the correct answer

Answer:

B C. F

Step-by-step explanation:

Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew.

How many sit-ups did Matthew complete?

Answers

Mathew completed 14 sit-ups.

solve the equation 5/x+3 + 4/x+2 = 2

Answers

Answer:

5 + 4 = 9

x × x = X2

3 + 2 = 5

9/x + 5 = 2

Answer:

5/x+3+4/x+2=2

=9/x+5=2

9/x=-3

Multiply both sides by x

9= -3x

Divide by -3

Answer x=  -3

Hope this helps

The question is in the pic! Answer by 10:20 to receive 5 stars, thanks, and brainliest!


please no links!

Answers

Answer:

A, y=1/3x

Step-by-step explanation:

You can use the slope formula.

Is 40 is 50% of 80 true or false
With step by step evidence

Answers

Answer:

please mark brainliest

it is true

Step-by-step explanation:

if you multiplie 80 by 0.50 you will get 40,

Can someone help me please

Answers

Answer:

52.7%

Step-by-step explanation:

If I am correct it means to round the percentage, so it would be 58% if you are rounding it

Toothpaste Ken is traveling for his business. He has a new 0.85-ounce tube of toothpaste that’s supposed to last him the whole trip. The amount of toothpaste Ken squeezes out of the tube each time he brushes varies according to a Normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces. If Ken brushes his teeth six times on a randomly selected trip, what’s the probability that he’ll use all the toothpaste in the tube?

Answers

Using the normal distribution, it is found that there is a 0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When a variable is multiplied by a constant, both the mean and the standard deviation are multiplied by the constant.

In this problem:

Brushes 6 times.Each time, mean of 0.13 ounces, hence, for the 6 times, [tex]\mu = 0.13(6) = 0.78[/tex]Each time, standard deviation of 0.02 ounces, hence, for the 6 times, [tex]\sigma = 0.02(6) = 0.12[/tex].

The probability that he’ll use all the toothpaste in the tube is 1 subtracted by the p-value of Z when X = 0.85, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.85 - 0.78}{0.12}[/tex]

[tex]Z = 0.583[/tex]

[tex]Z = 0.583[/tex] has a p-value of 0.7202.

1 - 0.7202 = 0.2798

0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.

A similar problem is given at https://brainly.com/question/24663213


[tex]1 - 25x {}^{2} [/tex]
what's the answer po?

Answers

Solution:

[tex]1 - {25x}^{2} \\ = (1)^{2} - (5x {)}^{2} \\ = (1 - 5x)(1 + 5x)[/tex]

Answer:

(1 - 5x)(1 + 5x)

Hope it helps.

Do comment if you have any query.

Need help on this plz and thanks

Answers

Answer:

y = 5x - 25

Step-by-step explanation:

Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.

10 = 5 * (7) + b

10 = 35 + b

-25 = b

So final equation is y = 5x - 25.

What is 6/9 divided by 1/3

Answers

Answer:

2

Step-by-step explanation:

6/9÷1/3

Keep Change Flip

6/9 x 3/1

Multiply.

6/3

=2

Hope this helps :)

Answer:

2

Step-by-step explanation:

we have[tex]\frac{6/9}{1/3}[/tex] . dividing by a fraction is the same as multiplying by the reciprocal. so [tex]\frac{6/9}{1/3}[/tex]= (6/9) * 1/(1/3) = (6/9) * 3. we can also simplify 6/9 to 2/3 by taking 3 out of the numerator and denominator. now we have (2/3) * 3 which equals 2

Thirty students were sent home for a week with a video game to play. Some were sent home with video game A, others with game B. The number of hours they spent playing the game is recorded below. Which game has a higher median number of hours, and how much higher is it than the median number of hours for the other game

Answers

Answer:

U never showed the thing below.

Step-by-step explanation:

-7+0.3(-4x+20)+8.8x
Help me plz
This is 8th grade math btw

Answers

Answer:

7.6x−1

Step-by-step explanation:

Expand by distributing terms

−7−1.2x+6+8.8x

Collect like terms.

(−7+6)+(−1.2x+8.8x)

Simplify

−1+7.6x

Regroup terms.

7.6x−1

string is 38 cm longer than his desk. Length of his reading book is 26 cm, what is the length of his string?

Answers

Answer:

has in lenght of 2 or 5

Step-by-step explanation:

odyssey ware

ig i d k

I need to find out the answer for this problem...

Answers

Answer:

where is the problem to solve. please tell me

On a coordinate grid, point L is at (−4, 4) and point S is at (8, 4). The distance (in units) between points L and S is ______. Input only whole numbers, such as 2.

Answers

Answer:

12 this is da a answer

12 twelve

a function is given, 2^x + 3. find f(-2)

Answers

Answer:

2_3_4_4/547767()9897568. thank

Teresa piano recital starts at 2:41 p.m. It ended at 6:36 pm how long did the recital last

Answers

Answer:

way too long

Step-by-step explanation:

jk, 3 hours and 55 minutes

Solve the following of:

11/15 × 7/8 ÷ 3/4​

Answers

Answer:

Well following the order of operations

You just do this from left to right

11/15* 7/8 = 77/120

77/120 ÷ 3/4

or

77/120 * 4/3

77/90 (simplified)

77/90 is the answer

paulita reads an average of 20 pages each day she has 6 days to read 10 pages will she finish her reading in 6 days explain?

Answers

Answer:

Yes

Step-by-step explanation:

If she is reading 20 pages a day, and needs to read 10 pages, then she needs half a day, and since she has 6 days, she can do this.

16 is 4% of what number?​

Answers

Answer:

400!

Step-by-step explanation:

16 times 25 is 400, therefore 16 is four percent of 400! Also, when finding out 4% of something, divide it by 25. When fiding 25% of something, divide it by 4!

16 is 4 percent of 400 as per the concept of percentages.

16 is 4% of 400.

To determine the number that 16 is 4% of, we can set up a proportion using the concept of percentages. Let's denote the unknown number as "x." The proportion can be written as:

16/x = 4/100

To solve this proportion, we can cross-multiply:

16 (100) = 4x

1600 = 4x

To isolate x, we divide both sides of the equation by 4:

1600/4 = x

x = 400

Therefore, 16 is 4% of 400.

To verify this, we can calculate 4% of 400:

4/100 x 400 = 0.04 x 400 = 16

As we can see, 16 is indeed 4% of 400.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ6

Hey, wassup its sofie dossi! I would like to ask you what 567865676545678+456789098765432347898789 is?

Answers

Answer:

828383627262827294688

Step-by-step explanation:

When you add 567865676545678 to 456789098765432347898789, the best way to do it is by placing the biggest number above the smallest number on a paper. Visual representation does help!

To be clear, I am meaning in a format such as this;

456789098765432347898789

+                  567865676545678

----------------------------------------------

Then, just as you would add any simple 2 number equation such as 3+5, etc. you will look at these numbers from right to left. Look at the bottom right one first, then add it to the one above it, if it adds up above 9, you will carry the leftover number above the row to the left of your current row. So currently you are in row 1, and you will add up to get 17. That means you will keep the 7 and write it down at the bottom and carry the one to the next row, and place it above the 8.

Hope this helps!

A rectangular board is 1100 millimeters long and 800 millimeters wide. What is the area of the board in square meters? Do not round

Answers

Answer:

880 square meters

Step-by-step explanation:

You need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters. 1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.

The area of the board is 880 square meters.

Area of rectangle

You need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters.

1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.

Learn more about area of rectangle here https://brainly.com/question/25292087

#SPJ2

Which transformations map the strip pattern onto itself?
PPPPP
O
a horizontal translation only
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
a horizontal translation and a 180° rotation

Answers

Answer:

2nd is correct

But u can also write by guessing. it is the best trick used by toppers.

what is 2/7 divided by 4

Answers

I think the awnser would be 2/28

Answer:

2/7 ÷ 4= 2/7 × 1/4

=2/28

...................................

HELP LAST ATTEMPT!!!!

Answers

Answer:

(6,-2)

Step-by-step explanation:

HELP ASAP PLSSSSS I NEED IT

Answers

Answer: B) 5/24

========================================================

Explanation:

The notation [tex]P(\text{blue, not 2})[/tex] is asking for the probability of landing on a blue space and having the dice show a value that isn't 2. That means we can roll any of the following: {1,3,4,5,6}.

The probability of landing on blue is 1/4 since there's one blue space out of four total. This is assuming all four spaces are equal in area. The probability of landing on anything but "2" is 5/6 because there are five sides that aren't labeled "2" out of six sides total.

Multiply the fractions found: (1/4)*(5/6) = (1*5)/(4*6) = 5/24

sarah had $40 at the beginning of the week. She babysat 3 days and by Saturday had $110. what is the percent increase

Answers

Answer:

175% increase

Step-by-step explanation:

Find the product. Simplify your answer.
(2c+3)(3c+1)

Answers

The answer is located two blocks left of the fire department and 3 half blocks up from the grocery store. There, you will find a bearded man. He will bless you with the word of God. Within that word of God, will contain the the answer isn’t that hard to find.

Given A(-4-5), B(8,-1), C (-5, 9), and D (2,8) determine whether AB is parallel,
perpendicular, or neither to CD

Answers

Answer:

neither

Step-by-step explanation:

If 2 lines are parallel then their slopes are equal

If 2 lines are perpendicular then the product of their slopes = - 1

Calculate the slopes m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 4, - 5 ) and (x₂, y₂ ) = B (8, - 1 )

[tex]m_{AB}[/tex] = [tex]\frac{-1-(-5)}{8-(-4)}[/tex] = [tex]\frac{-1+5}{8+4}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]

Repeat

with (x₁, y₁ ) = C (- 5, 9 ) and (x₂, y₂ ) = D (2, 8 )

[tex]m_{CD}[/tex] = [tex]\frac{8-9}{2-(-5)}[/tex] = [tex]\frac{-1}{2+5}[/tex] = - [tex]\frac{1}{7}[/tex]

The slopes are neither equal nor have a product of - 1

What is the advantage of opening a credit card account at a young age?
A. It helps people begin to build a credit history.
B. It helps people begin to accumulate debt.
C. It allows people to take advantage of high interest rates.
D. It allows people to defer their tax payments.

Answers

Answer:

A. it helps people begin to build credit history.

Step-by-step explanation: It wants to know an ADVANTAGE! B is NOT an advantage. C high interest rates are very bad and make you pay more so its not C. D do i even really have to explain? lol the correct answer is A :)

Answer:

A. It helps people begin to build a credit history.

Step-by-step explanation:

Other Questions
1 Six rain gauges are spread throughout a city. The mean height of water in these gauges is 1.8 centimeters after a rainy day. Which statement must be true? A All of the rain gauges would have 1.8 centimeters of water, if distributed evenly. B At least one of the rain gauges has exactly 1.8 centimeters of water. C All of the rain gauges have 1.8 centimeters of water. How long can the brain survive without oxygen. What tribe of Native Americans was living where the Pilgrims landed?The CherokeeThe SiouxThe NavajoThe Wampanoag what two hydrogen carrying molecules are formed during the krebs cycle What is the answer to 4y/y? If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year? George wants to buy a Government Bond that will mature in 4 years. which type of bond will best meet his needs ?A. T-billsB. treasury notesC. treasury bondsD. treasury information protection securities Find the factorization of the polynomial below.81x2 + 72x + 16 Was the trade of Bengal coal immediately successful? James is going on vacation for 9 days. William is going on vacation for 6 times as long. How long is William going on vacation?Group of answer choices:William is going on vacation for 36 days.William is going on vacation for 45 days.William is going on vacation for 54 days.William is going on vacation for 63 days. Cual es la relacion que tiene la ilustracion con la revolucion de Mayo? A historical source can be deemed unreliable if the author appears to unfairly favor a particular side or view point A family wants to build a pen for their new puppy. They want the area of the pen to be more than 225 square feet.If the width of the pen is 25 feet, what is the set of possible lengths for the pen? The diagram shows fertilization, the union of sperm cell and egg cell.The traits of the offspring of the fertilized egg are coded ontoA lipids in the offspring's cell membranes.B enzymes in the offspring's ribosomes.C genes in the offspring's chromosomes.D water in the offspring's mitochondrion. 45,747 divided by 9= solve pls brainliest help me pleaseeeeeeee Cone-shaped deposits of sediment often found at mouth of stream canyons in arid and semiarid climates are called The first animated film was created by j. Stuart blackton in _____(1)_____. The first animation with sound was created in 1928 entitled, _____(2)_____. When did neocolonialism start in latin america.