Which theorem can you use to show that the quadrilateral on the tile floor is a parallelogram?

Which Theorem Can You Use To Show That The Quadrilateral On The Tile Floor Is A Parallelogram?

Answers

Answer 1

Answer:

Parallelogram Theorem #1 Converse

Step-by-step explanation: : If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Answer 2

Parallelogram opposite sides converse. Therefore, option A is the correct answer.

What is parallelogram?

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

Let the diagonals AC and BC intersect at O.

Consider, triangle BOC and triangle AOD

OA=OC (Shown in the figure)

∠AOD=∠BOC (Vertically opposite angles are equal)

BO=DO (Shown in the figure)

By SAS congruence theorem

triangle BOC and triangle AOD are congruent

So, by CPCT AD=BC

Similarly,

From, triangle AOB and triangle DOC

AB=DC

Therefore, option A is the correct answer.

Learn more about the parallelogram here:

https://brainly.com/question/19187448.

#SPJ6


Related Questions

Answer all or none! Ty!​

Answers

1) You can make about 6 bracelets because 43 divided by 6.8 is 6.3235 so you round it to 6.

2) The answer is 14.4 miles because that’s what 3.6x4 equals.

3) The answer would be $63.09 because 7.01x9=63.09

4) The answer is 1.35 , you just have to multiply 0.5 and 2.7

5) The answer is 9.432 seconds

6) For aluminum it would be $1.15 and for copper it would be $3.24

7) 0.21 x 10 = 2.1

8) 45.35 divided by 10,000 = 0.004535

9) 6.02 x 0.1 = 0.602

10) 9.4 divided by 0.01 = 940

11) 15.5

12) $695

There are 40 batteries in 10 packs.
Gavin wants to know how many batteries are in 1 pack.
Kylie wants to know how many batteries are in 5 packs.
Drag an expression to answer each question.

Answers

Answer:

1.40/10

2.40/2

Step-by-step explanation:

Answer: For a 1 pack you would divide 40 by 10 and for a 5 pack youd divide 40 by 5

Step-by-step explanation:

Solve for n. c/d = d/c - 1/n

Answers

Answer:

Hi! The other answer is not correct to your question

The answer to your question is n= [tex]\frac{dc}{(c+d)(c-d)}[/tex]

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable n

※※※※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

What is another way to write -8+5?

Answers

Answer:

5-8

Step-by-step explanation:

you just had to move the 8 over

(-4 5/8) - (-1 1/4) =

Answers

Answer:

the answer is -3.375 hope this helped

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

(-6, -7)

Step-by-step explanation:

For the x coordinates:

-1 - 4 = -5

-1 + -5 = -6

For the y coordinates:

-5 + -3 = -2

-5 + -2 = -7

I don't know how to explain it well sorry

A veterinarian says you should feed a 5-year-old beagle
2/3 cup of dog food twice a day. According to the veterinarian, how much food should the beagle eat in a 30 days?

Answers

Answer:

40 cups of food

Step-by-step explanation:

First, you would multiply 2/3 by 2, which gives you 4/3. That means the beagle will eat 1 and 1/3 of a cup a day. If you multiply that by 30, you get 40.

Give the similarity ratio for the following figures (small to large).

Answers

Answer: I think the answer would be 1/6

Step-by-step explanation:

If you notice, all of the numbers on the left model are 1/6 less than the one on the left. I don't know what type of answer they are looking for but the one on the left is 1.6 smaller than the one on the right:)

Priya has planted a garden shaped like a right triangle. One leg of the triangle is 5 meters long, and the angle formed by it and the hypotenuse is 50°. If Priya wants to build a fence around her garden, how many meters of fence will she need? Round your answer to the nearest meter.

Answers

Answer:

19

Step-by-step explanation:

:)

The amount of fence that Priya would need (in meters) is 19 meters approximately.

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

For this case, we've to find the length of the fencing she needs to cover her garden.

Length of fencing needed = Perimeter of the considered right triangle = sum of its sides' lengths

Using the image attached below,  from the perspective of angle A which  is of 50 degrees from inside, we get:

|AB| = base length = 5 meters (given)|BC| = perpendicular length = p meters (say)|AC| = hypotenuse length = h meters (say)

Using tangent ratio,

[tex]\tan(m\angle A) = \tan(50^\circ) = \dfrac{p}{5}\\\\p = 5 \tan(50^\circ) \approx 5.96 \: \rm m[/tex]

Using sin ratio,

[tex]\sin(m\angle A) = \sin(50^\circ) = \dfrac{p}{h}\\\\h = \dfrac{p}{\sin(50^\circ)} \approx \dfrac{5.96}{\sin(50^\circ)} \approx 7.78 \: \rm m[/tex]

Thus, perimeter of the triangle = 5 + p + h ≈ 18.74 m ≈ 19 m

Thus, the amount of fence that Priya would need (in meters) is 19 meters approximately.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

Jason wants to create a box with the same volume as the one shown below. He wants the length to be 4
inches. What would be the measurements of the width and height?
Length: 4 inches
Width: inches
Height: inches
Explain how you determined the width and height.
- cubic inch

Answers

Given : jason wants to create a box with the same volume as the one shown

To find : measurements of width and height .

Solution :

Volume of given box

=> 6 * 2 * 3

=36

length to be 4 inches .

lwh = 36

=> 4 wh = 36

=> wh = 9

9 = 1 * 9

9 = 3 * 3

Width and Height can be 3 inches each or 1 and 9 inches

Find the missing length

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

A² + B² = C²

9 • 9 = 81

12 • 12 = 144

81 + 144 = 225

Sqrt

√255 = 15

Find the missing side​

Answers

Answer:

72

Step-by-step explanation:

Answer:

72 units

Step-by-step explanation:

The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex] in a right triangle when a and b are the two legs and c is the hypotenuse (the longest side).

[tex]a^2+b^2=c^2[/tex]

In the diagram, 30 measures one of the legs and 78 measures the hypotenuse. Plug these in as a and c.

[tex]30^2+b^2=78^2\\900+b^2=6084[/tex]

Subtract 900 from both sides

[tex]900+b^2-900=6084-900\\b^2=5184[/tex]

Take the square root of both sides

[tex]900+b^2-900=6084-900\\\sqrt{b^2} =\sqrt{5184}\\b=72[/tex]

Therefore, the length of the missing side is 72 units.

I hope this helps!

use the information provided to write the equation of each circle​

Answers

Answer:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

a) 5x-12=2x-3
b) 8x+2=5x+8
c) 7x-5=4x-2

please

Answers

What's the question?

What are we supposed to do?

Solve the following: four and six tenths plus six and eight tenths

Answers

Answer:

4 6/10+ 6 8/10= 11 4/10

Step-by-step explanation:

The 4+6=10, and 6/10+8/10=14/10 which converts to 1 4/10. 10+1 4/10= 11 4/10

Answer:

11 and 4/10

Step-by-step explanation:

Hope this helps!

Do,k= (0,2) (0,6) the scale factor is
3
0
1/3

Answers

Answer:

Step-by-step explanation:

3

Find the area of a parallelogram. If base = 15 cm; height= 5 cm

Answers

75


Base * Height = area
............................

Janna is buying a netbook with a flash drive. The total cost c will include the price p of the netbook plus $12.50 for the flashdrive. Which is the dependent variable?

Answers

The dependent variable would be c (for cost) because the total cost depends on the price of the notebook.

Find the values of the sine, cosine, and tangent for angle a

Answers

[tex]sina=\frac{2\sqrt{13} }{13} \\cosa=\frac{3\sqrt{13} }{13}\\tana=\frac{2}{3}[/tex]

Answer:

A.

Step-by-step explanation:

correct on edge2021

Someone help I’ll give you Brainly plus 15 points

Answers

Add both angles=90 because of rectangle properties.
4x+7x+2=90
11x=88
X=8
DOT=7*8+2
=58

what is the volume of each cylinder with a radius of 2.7 cm and a height of 5 cm​

Answers

Answer:

114.51

Step-by-step explanation:

I'm not to sure what you meant by 'each' so I solved it like there was only one cylinder. hope this helped

A company prepares their shipments in two different-sized boxes.
In order to fit with new shipping regulations, the company needs to decrease the volume of the boxes and will do this by reducing each of the dimensions by at least x inches.
Which system of inequalities can be used to model V, the volume of each box, after each dimension has been reduced by at least x inches?

Answers

Answer:

Answer is A.  -296x+960/ -636x+3,024

Step-by-step explanation:

Answer:

HEREEE besties

IF YOU TELL ME HOW YOU GOT THE ANSWER FIRST YOU WILL GET A CROWN

Answers

Answer:

C

Step-by-step explanation:

basically see where each dot is and the number its beside and the number its above answer for example the first one is in between 20 and 30 so its 25 and its above 1  so it would 1, 25 u just do that for all the dots :)


Give an example to show that when two prime numbers are added, the result
may be an odd number.

Answers

Answer:

2+3=5

Step-by-step explanation:

prime numbers =2 and 3

sum =5 which is odd

If f(x) = 3x + 2, what is f(5)?

Answers

Hi there!

[tex]\large\boxed{f(5) = 17}}[/tex]

f(x) = 3x + 2, find f(5):

To find f(5), we simply substitute in 5 for x:

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

Plz help!!!!
Josh conducted an experiment with the bag of
marbles shown below. He will draw a marble out of the bag, record the result, return the marble to the bag, and draw another marble, continuing the process.
If he completes this process 600 times, about how many
times should he expect to draw a striped marble?
A.Approximately 400 times
B.Approximately 250 times
C.Approximately 200 times
D.Approximately 150 times

Answers

Answer:

Step-by-step explanation:

There are 12 marbles in total with three of them being striped. The chance of pulling out a striped marble is 3/12 which can be reduced to 1/4. And 1/4 of 600 is 150.

What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box.

Answers

Answer:

beleive its 35

Step-by-step explanation:

Answer:

The mode hear is 32

Step-by-step explanation:

The mode is the number seen the most in a selected group.

Here is a Mnemonic to help remember what the 3 M's are:

'Hey diddle, diddle

the medians in the middle

add and divide for the mean

the mode is the one that you see the most

and the range is the difference between'

Flow many years after the tree is planted does the model predict the tree will reach a height of 65 feet?

Answers

B

this is the answer

hi please help i’ll give brainliest

Answers

Answer:

Ellipse. It is irregular at some points.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

21) Michelle has just been informed that her cell phone plan will be increasing in price. Her new pricing
plan has a flat fee of $25.00 per month, plus a cost of $0.09 per minute of usage. Based on her budget,
Michelle has determined she can only afford to use a maximum of 209 minutes per month. Based on
this information, what is the highest amount Michelle will pay for her cell phone per month?
a) $18.81
b) $5.23
c) $43.81
d) $25.09

Answers

Answer:

c) $43.81

Step-by-step explanation:

= $25.00 + ($0.09 × 209)

= $25.00 + $18.81

= $43.81

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