Point E is the midpoint of side BC of parallelogram ABCD, and point F is the midpoint of side AD. prove that quadrilateral BEDF is a parallelogram

Answers

Answer 1

9514 1404 393

Explanation:

Here is one way to go about it.

Statement . . . . Reason

1. AD ≅ BC, AD║BC, E & F are midpoints of BC, AD . . . . given

2. (1/2)AD ≅ (1/2)BC . . . . multiplicative property of congruence (equality)

3. DF = (1/2)AD, BE = (1/2)BC . . . . definition of midpoint

4. DF ≅ BE . . . . substitution property of congruence

5. BE║DF . . . . segments of parallel lines are parallel

6. BEDF is a parallelogram . . . . BE ≅ DF, BE║DF, definition of parallelogram


Related Questions

Can anyone please help with this?​

Answers

Answer:

see explanation

Step-by-step explanation:

Find AC

AC = AD + DC = 3y + 4x

(i)

AE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex](3y + 4x) = [tex]\frac{3}{2}[/tex] y + 2x

(ii)

CB = - AD = - 3y

P is inversely proportional to the square of q. When q = 2, P = 12.8 (a) Find a formula for P in terms of q.

Answers

Answer:

P = 51.2/ q

Step-by-step explanation:

Given :

P α 1/q²

P = k/q²

k = constant of proportionality

P = 12.8 ; q = 2

12.8 = k /2²

12.8 = k / 4

k = 12.8 * 4

k = 51.2

Formuka for P in terms of q :

P = 51.2/ q

Help plz will give brainliest

Answers

5 x 3 = 15

Your answer: 15

Answer: 15 out of the 18 blocks are shaded

maths

Airplanes use radar (radio waves) to measure distances.

The plane is at a height of 5200 m. The airport is 10.2 km away.

How far does the plane need to travel before it lands?


a) 11.4 km

b) 10.4 km

c) 5200 km

d) 10.2 km

Answers

Answer:

10.2 km

Step-by-step explanation:

I thought we have to add 5200 m + 10,2 km, but for this result there is no an alternative. So the correct answer must be 10,2 km, if the plane is right above the airport.

D is the answer, hope it helped

What is the total surface area??? PLEASE HELP ME

Answers

Answer:

56 +136 add the rest

Step-by-step explanation:

Harvey and Dona want to test the range of the walkie-talkies they have. They start at Harvey's house and walk away from each other. Harvey goes to the store 4 miles away to the East and Dona goes to the park 5 miles West. How far apart are the walkie-talkies?

Answers

9 miles away from each other

what to numbers add to -7 and multiply to -12

Answers

-3 and -4 is the answer. When you add these 2 numbers they equal -7. But when you multiple them together, you get -12. I hope this helped you, if you want me to explain further, lmk.

Answer:

Not any whole numbers!

Step-by-step explanation:

Graph the lines for the two sets of linear
data. Find the intersection of the lines.
5.
х y х у
-2 0 -2 -1.5
0 1
-3.5
2 2 2 -5.5
4 3 4 -7.5

Answers

Answer:

76

Step-by-step explanation:

ok

Find Y. Round to the nearest tenth. Z 17 ft 8 ft X 16 ft Y Y= [?]° Law of Cosines: c2 = a + b2 - 2ab cos C​

Answers

Answer:

27.8

Step-by-step explanation:

What is the value of the following expression: w^2 + 2 + 48 divided by 2z. If w = 5 and z = 8

Answers

Answer:

Replace w and z with the given values:

5^2 + 2 + 48 / 2(8)

Simplify:

75/16 = 4 and 11/16

Step-by-step explanation:

hopes this helps

-Unknown

what are the answers to these 2 questions? pls help! thank u

Answers

Answer:

The first answer is no

two varying quantities are said to be in a relation of proportionality you can't divide 50 into 6 and get a proportional number

The second answer is yes because they are all equal and make a straight line

Step-by-step explanation:

Kelly has a rectangular fish aquarium that
measures 18 inches, 8 inches wide and 12 inches
tall. How much water does the aquarium can
hold?

Answers

volume = 18x8x12
= 1728

(hi can someone help me with this?) If f(x) = 4x - 3, what is f(x)^-1?
a.) x/4 + 3
b.) x + 3/ 4
c.) 3 - 4x
d.) 4/x+3

Answers

Answer:

F(x) ^-1= x+3/4

Step-by-step explanation:

Exchange f(x) for y

Y=4x-3

+3

Y+3=4x

/4

Y+3/4=x

Swap y and x

F(x)^-1= x+3/4

Answer:

Here is your answer

Hope it helps

Could the value of x in the triangle below be 4, 6, 9, or 10? The value of x could be

Answers

Answer:yes it could

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Find mAPD .
60
Select one:
O a. 30 degrees
O b. 60 degrees
O c. 45 degrees
O d. 90 degrees

Answers

Answer:

I believe it's a because 90 + 60 would get you 150 and then you add 30 and it gives you 180/half a circle

HELP FAST PLEASE. Madge leaves her home at 8:05 to go to school. The drive takes one-third hour each way. If she is at school for 7 hours, what time does she arrive home?

Answers

3:45 mate :)

Step-by-step explanation:

60/3=20 +8:05=8:25

+7hrs from 8:25=3:25

3:25+20=3:45

Hope this helps :)

Answer:

3:45

Step-by-step explanation:

I will mark Brainliest!!

Answers

Answer:

4

Step-by-step explanation:

Do you think you can give me brainliest? I'm trying to level up. Thank you!

Answer:

4

Step-by-step explanation:

3-(-1)=

3+1=4

*2 negatives is a positive, therefore the subtraction signs turn to an addition sign

log (x^2 – 5x + 14) = 2x + 4
Need an answer ASAP must be in exponential equation

Answers

Answer:

x=2 or x=5

Step-by-step explanation:

Please help i will give brain
A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?

A fan has 5 equally spaced blades.
A. 120°
B. 60°
C. 90°
D. 72°

Answers

The answer is c. Good luck

plz help :: y - 4 = -3(x - 3) in slope internet form and show the work

Answers

Answer:

Step-by-step explanation:

y-4=-3x+9

y=-3x+13

please only answer if you're a hundred percent sure you know the correct answer and please answer all question

Answers

Answer:

Q.no.1

d=1 then t=7

d=3 then t=11

t=15 then d=5

Q.no.2

d=1 then t=3

d=3 then t=9

t=15 then d=5

Q.no.3

5x = 12+18

or, 5x = 30

or, x =30/5

or, x = 6

Q.no.6

x < 8

Q.no.7

x >_ 7 ( option d)

Hope it helps.

WILL GIVE BRAINLIEST! Form quadratic functions given the following information: f(x)>0 if and only if 1

Answers

Answer:

Step-by-step explanation:

sin (330)

-4 cot

(-45)

csc (60)

Answer:

f(x) = -2(x-3)^2+8

Step-by-step explanation:

Using vertex form: f(x)= a(x-h)^2 +k

if the maximum is 8 then k=8

h = 3 --> the midpoint of 1 and 5

Fill in the equation:

f(x) = a(x-3)^2 +8

Using f(1) = 0 to figure out a:

0 = a(1-3)^2+8

4a =-8

a = -2

Our final equation would be[tex]f(x)=-2(x-3)^2+8[/tex]

In standard form:  [tex]f(x)=-2x+12x-10[/tex]

A cube has the width of 6 cm.What is the volume ofcthe cube?

Answers

Step-by-step explanation:

Yᴏᴜʀ ᴀɴsᴡᴇʀ ɪs ɪɴ ᴛʜᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ...

Hᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ

Answer:

216

Step-by-step explanation:

l x h x w\

or

length times height times width

X/8 = 3/12 what does x equal ?

Answers

Answer:

-72

Step-by-step explanation:

the answer is -72...........

Answer:

2

Step-by-step explanation:

12 divided by 3 = 4 which would give you the idea that 8 needs to be divided by 4 which give you 2

8. Amy is flying a kite. Her kite is flying 45 ft above the ground, and the string makes a 35°angle with the ground. How long is the string?
Round to the nearest HUNDREDTH. (0.01)
Note: This is a trigonometry question

Answers

Answer:

Check pdf

Step-by-step explanation:

Which technologies and medicines spread during the Columbian Exchange?
- shipbuilding and antibiotics
- mapmaking and gunpowder
- guns, steel, and quinine
O navigational tools and surgery

Answers

Answer:

guns, steel, and quinine (c)

Step-by-step explanation:

did the assignment on edge 2021 trust :))))

What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1?

Answers

Answer:

y =1x+4

Step-by-step explanation:

Does association between variables mean that there is a cause-and-effect
relationship? Why or why not? Give an example.

Answers

Answer:

Yes

Step-by-step explanation:

Two variables may be associated without a causal relationship. For example, there is a statistical association between the number of people who drowned by falling into a pool and the number of films Nicolas Cage appeared in in a given year. However, there is obviously no causal relationship.

I don't know if it would help but you can try  

please help i’ll give brainliest please !

Answers

Answer:

a theory explaining the structure of the earth's crust and many associated phenomena as resulting from the interaction of rigid lithospheric plates which move slowly over the underlying mantle.

Step-by-step explanation:

Answer:

D.

Hope that helps!

Step-by-step explanation:

A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and costs $1.28. Brand B contains 12 fluid ounces and costs $1.68. What is the difference in cost, in dollars, per fluid ounce between the two brands?

Answers

Answer:

$0.02

Step-by-step explanation:

Brand a

1.28 ÷ 8 = 0.16 per ounce

Brand b

1.68 ÷ 12 = 0.14 per ounce

0.16 - 0.14 = 0.02

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