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

someone help this question is worth 50 points! What ratios are equivalent to the ratio 24:4

A.) 6:1
B.) 12:2
C.) 4:24
D.) 48:8
E.) 18:3
F:) 1:6

Answers

Step-by-step explanation:

just put the ratios into a fraction if x:y then x/y

A.)6/1=6

B.)12/2=6

C.)4/24=1/6

D.)48/8=6

E.)18/3=6

F.)1/6

24/4=6 so A, B, D, and E are equivilant to the ratio 24/4

Hope that helps :)

Answer:

6:1 ,12:2, 48:8

Step-by-step explanation:

24:4

24 ÷ 4 =6 and 4÷4 =1

6:1

24:4

24÷2 =12 , 4÷2=2,

12:2

48:8

24×2=48, 4×2=8

48:8

which of the following fractions converts to a repeating decimal? a. 7/16 B.5/8 C. 2/3 D.4/10

Answers

Answer:

B

Step-by-step explanation:

11 Megan has $500 in her savings account. The interest rate is 7%, which is not compounded. How much money in dollars) will she have in her account after 5 years? Write the correct
answer.

Answers

Answer:

701

Step-by-step explanation:

At the end of 5 years, your savings will have grown to $701.

You will have earned in $201 in interest.

answer.

If cot θ= tan (pi/6) what is cos θ? Round your answer to the nearest hundredth.

Answers

Answer:3.46

Step-by-step explanation:

solve the following question

Answers

Given:

The expressions are:

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]

To find:

The simplified form of the given expressions.

Solution:

We have,

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]

It can be written as:

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{12a^{2+1}bc^3}{40b^4c^2}[/tex]

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{3-2}}{10b^{4-1}}[/tex]

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{1}}{10b^3}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{3a^{3}c}{10b^3}[/tex].

We have,

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]

It can be written as:

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{(x+y)(x-y)}{4(x+y)}\cdot \dfrac{x+y}{x-y}[/tex]

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{x+y}{4}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{x+y}{4}[/tex].

Find the value of x that makes the equation true:

16 - x = 4

x = 18
x = 20
x = 14
x = 12

Answers

16 - x = 4
16 - 12 = 4
x = 12
Find the value of x that makes the equation true:

16 - x = 4


x = 12

plzzzz help mark brainiest plus 20 points
:)​

Answers

A. The Saturn has a magnetic field which attracted the probe.

Answer:

I think its D. If not then it's A. I'm sorry if I get it wrong

4. A Tesla dealership is having a sale on their cars. This week you can save 15% off
the total price. If the retail price of the Tesla is $30,190, what is the discount?

Answers

Answer:

25,661.5

Step-by-step explanation:

30160x15%=4528.50

30160-4528.50=25,661.50

A person walks 1/5 mile in 1/15 of an hour.
They are going what miles an hour?

Answers

Answer:

(1/5 mi) / (1/15 hr) = 1/5 * 15/1 = 3 mi/hr

hope this helps

Step-by-step explanation:

THE ANSWER IS NOT LETTER b. 2
Independent Practice

Now practice solving some problems.

Which number is a solution of the inequality ?
4−m/m ≥ 5


A.
0.5


B.
2


C.
–4


D.
0.75

Answers

B is the answer for your question

Answer:

A.

0.5

Step-by-step explanation:

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

Describe two different way to find the product 4x2/3

Answers

Answer:

8/3

Step-by-step explanation:

1. 2 ÷ 3 = .66

.66 · 4 = 2.6

2. 4 × 2/3 =

4/1 × 2/3 = 8/3

good luck, i hope this helps :)

help i need this to be answerd

Answers

Answer:

What is it, you need help with?

Step-by-step explanation:

:)

Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hour.

Which fraction represents Maria’s speed in miles per hour?

3/5^/2

2/5

3/5

2/^3/5

Answers

Answer: 2/^3/5

Step-by-step explanation:

Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hours. The fraction represents Maria’s speed in miles per hour is 2 /^3/5. The correct option is d.

What is the fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction.

The type of fractions are:

Proper fraction.Improper fraction.Equivalent fractions.Mixed fraction.Like fractions.Unlike fractions.

Here, Maria paddled 2 mile (distance). The time is 3/5 hours (time).

The fraction is speed = distance/time

2 mile / 3/5

Therefore, the correct option is d. 2 /^3/5.

To learn more about fractions, refer to the below link:

https://brainly.com/question/24411984

#SPJ5

Which expression is equivalent to -36 - 8?
Choose 1 answer:
36 + 8
Pro
B
8 - 36
Pro
Tea
-36 +(-8)
D
-8 + 36

Answers

-36-8 = -44

-36+(-8) = -44
third option

Which is the cosine ratio of ∠A?

ACB is right angle triangle. The length of AC is 28, the length of CB is 195, and the length of AB is 197.

A. 195197
B. 28197
C. 28195
D. 19528

Answers

Answer:

d . 19528

Step-by-step explanation:

maaf jika salah

look at screenshot for question

Answers

Answer:

I think it is the first one as you add the 4 like from the other

Find the volume of an oblique circular cylinder that has a radius of five feet and a height

of three feet

Answers

Answer:

235.5 cubic feet

Step-by-step explanation:

The volume v of a circular cylinder whose base radius is r and height h is given as

v = πr^2h

where π is 22/7 or 3.14

Given that the radius is five feet and the height  is three feet

the volume v = 3.14 *5^2 * 3

= 235.5 cubic feet

The volume of the oblique circular cylinder is 235.5 cubic feet

Solve for the given time.

You buy a car for $15,000 and it depreciates at a rate of 4.3% per month. How much is the car worth after a year?

Answers

Answer:

8851.86

Step-by-step explanation:

100-4.3= 95.7%

15000(.957)^12

Answer pleaseeee!!!!!!!!!!!!!!!!

Answers

Answer:

[tex] m \angle \: 3 = 94 \degree[/tex]

Step-by-step explanation:

[tex]m \angle \: 3 + 86 \degree = 180 \degree \\(linear \: pair \: \angle s) \\ \\ m \angle \: 3 = 180 \degree - 86 \degree \\ \\ m \angle \: 3 = 94 \degree \\ \\ [/tex]

NO LINKSS !! I WILL REPORT !! HELPP ME PLSS I I WASTED MOST OF MY POINTSS AND NO ONE ENDS UP HELPING ME PLSSS HELP ME Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or > = for >

Answers

Answer: Y less than -3x – 3

Step-by-step explanation:

can someone please answer these
*will give brainliest if you answer all* AND NO LINK

Answers

Answer:

Rectangular Prism → h = 2in

                                    B = 143in

                                    P = 48in

Surface Area = 382in²

Lateral Surface Area = 96in²

Triangular Prismh = 7in

                                B = 20in

                                P = 27in

Surface Area = 229in²

Lateral Surface Area = 189in²

Triangular Prism h = 10in

                                B = 120in

                                P = 60in

Surface Area = 840in²

Lateral Surface Area = 600in²

Step-by-step explanation:

Formulas: Total Surface Area = 2B = Ph

                  a²+b²=c²

                  Area = [tex]\frac{1}{2}[/tex]bh

                  Lateral Area = Ph

PLUG NUMBERS INTO FORMULA. (I'm too lazy to type it all out lol)

What are the integer solutions to the inequality below?

2

x
<
2

Answers

Flfkfjcjcjcnccnncjvmvmv

¿can you help me, please?

Answers

The volume of the prism would be 21

I need help with this question please help.
Its gt geometry

Answers

Answer: First one is 140, second one is 70

Step-by-step explanation: They’re corresponding angles

6(x-2)=-18 what does x=

Answers

Answer:

x = -1

Step by step explanation:

Distribute 6

6x-12= -18

Add 12 to both sides

6x= -6

Divide both sides by 6

x= -1

Hope this helps

I dont know how to do this​

Answers

Answer:

a) 55°

b) 125°

c) 55°

d) 55°

Step-by-step explanation:

a) 180-(90+35) = 55

b) this angle forms a straight angle with ∡a

c) this angle is vertical, and congruent, with ∡a

d) 180-(70+55) = 55

Evaluate (-2xy^3)^3 when x = 4 and y = -1

Answers

Step-by-step explanation:

(-2xy^3)^3

(-2(4)(-1)^3)^3

(-2(4)(-1))^3

(8)^3

512

Find the center of the ellipse.

x2 + 4y2 – 10x – 40y + 121 = 0​

Answers

Answer:

i dont what an ellipse is but here's the answer:

8x + 32y = 121

Answer:

123‐10×40y=0

10×+40y=123

Find the common difference of the arithmetic sequence -3, -9, -15

Answers

Answer:

they are subtracting 6 from each number

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