1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Reika [66]
3 years ago
14

Write an indirect proof showing that the diagonals of a parallelogram intersect each other

Mathematics
1 answer:
____ [38]3 years ago
4 0
Its an indirect proof, so 3 steps :-
1) you start with the opposite of wat u need to prove 
2) arrive at a contradiction
3) concludeReport · 29/6/2015261
since you wanto prove 'diagonals of a parallelogram bisect each other', you start wid the opposite of above statement, like below :- step1 : Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.Report · 29/6/2015261


Since, we assumed that the diagonals dont bisect each other, 
OC≠OA 
OD≠OBReport · 29/6/2015261
Since, OC≠OA, △OAD is not congruent to △OCBReport · 29/6/2015261

∠AOD≅∠BOC as they are vertical angles, 
∠OAD≅∠OCB they are alternate interior angles 
AD≅BC, by definition of parallelogram 
so, by AAS, △OAD is congruent to △OCBReport · 29/6/2015261
But, thats a contradiction as we have previously established that those triangles are congruentReport · 29/6/2015261
step3 :
since we arrived at a contradiction, our assumption is wrong. so, the opposite of our assumption must be correct. so diagonals of parallelogram bisect each other.
You might be interested in
Jose has scored 562 points on his math tests so far this semester he must score atleast 650 points write and solve an inequality
solniwko [45]
562 + X >= 650
subtract 562 from both sides
X >= 88
5 0
3 years ago
Read 2 more answers
Hoi i need this ✨AnsWeREd✨
antoniya [11.8K]

Answer:

answer above or below is right

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Use the FOIL method to evaluate the expression
In-s [12.5K]
So u multiply each term in the first parentheses by each term in the second parentheses.

√5 √5 + 6√5-3√5 - 3x6
Now you multiply the numbers which will get u:
5+6√5 - 3√5 - 18
Then subtract:
-13 +3√5 that’s your answer
7 0
2 years ago
A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches. Approximately how much smaller,
zhuklara [117]

Answer:

285.74\text{ inch}^2

Step-by-step explanation:

GIVEN: A bicycle training wheel has a radius of 3\text{ inch}. The bicycle wheel has a radius of 10\text{ inch}.

TO FIND: Approximately how much smaller, in square inches, is the area of the training wheel than the area of the regular wheel.

SOLUTION:

radius of bicycle wheel =10\text{ inch}

area of bicycle wheel =\pi r^2

putting value,

area of bicycle wheel =3.14\times10^2

                                    =314\text{ inch}^2

radius of bicycle training wheel =3\text{ inch}

area of bicycle training wheel =\pi r^2

putting value,

area of bicycle wheel =3.14\times3^2

                                    =28.26\text{ inch}^2

difference in area of bicycle wheel and bicycle training wheel

=\text{area of bicycle wheel}-\text{area of bicycle training wheel}

=314-28.26

=285.74\text{ inch}^2

hence the training wheel is 285.74\text{ inch}^2 smaller than regular wheel

4 0
3 years ago
Savanna Smiles invested $5,000 for one year in a CD that earns interest at a rate of 3.5% compounded monthly. What is the intere
weeeeeb [17]
We are asked to solve for the interest during the year given that it is compounded monthly, we are given with the formula A = P(1+r)^n. The solution is shown below:
A = P (1+r)^n
A = $5,000 (1+ 3.5/12)^(12*1)
A = $5,000 (1.000292)^12
A = $5,177.84

 
5 0
3 years ago
Other questions:
  • 6x^3-16x^2+17x-6?/3x-2
    14·1 answer
  • Two integers are___________ if they are each the same distance away from zero but on opposite sides of the number line.
    9·2 answers
  • On average, a very selective college admits 9 out of every 100 applicants. An admissions officer is reviewing a pile of 200 stud
    5·2 answers
  • If h(x) is the inverse of f(x), what is the value of h(f(x))?.
    15·2 answers
  • Cole walked 2 1/2 kilometers on Monday. Isabella walked twice as many kilometers as coke. How many meters did cole and Isabella
    11·1 answer
  • Anna has 7.2 cups of cookie batter. If she uses all the batter to make 16 equal sized cookies, how much batter are in each cooki
    11·2 answers
  • a rectangle with the width of 6cm and length of 10cm is dilated by a scale factor of 5. what is the area and perimeter of the ne
    10·1 answer
  • In a random sample of 60 shoppers from a large suburban mall, 36 indicated that they had been to a movie in the past month. In a
    12·1 answer
  • Melissa earns a 2% commission on the first $750 of sales she makes each week. She earns a 3% commission on the amount of her sal
    5·1 answer
  • PLEASE HELP!!!!!!! What is the slope of the line?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!