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
Alika [10]
2 years ago
11

If the diagonals of a parallelogram are equal, then show that it is a rectangle.

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
4 0

Answer:

Given: In parallelogram ABCD, AC=BD

To prove : Parallelogram ABCD  is rectangle.

Proof : in △ACB and △BDA

AC=BD  ∣ Given

AB=BA ∣ Common

BC=AD ∣ Opposite sides of the parallelogram ABCD

△ACB ≅△BDA∣SSS Rule

∴∠ABC=∠BAD...(1) CPCT

Again AD ∥ ∣ Opposite sides of parallelogram ABCD

AD ∥BC and the traversal AB intersects them.

∴∠BAD+∠ABC=180∘ ...(2) _ Sum of consecutive interior angles on the same side of the transversal is 

180∘

From (1) and (2) ,

∠BAD=∠ABC=90∘

∴∠A=90∘ and ∠C=90∘

Parallelogram ABCD is a rectangle.

You might be interested in
Free points and brainliest :D.<br> And yes.
saveliy_v [14]

Answer:

yes please

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the solution for x in the equation?<br><br><br> 9 - 10x2x+1-8x<br><br> x = ?
LUCKY_DIMON [66]

Answer:

-3x

Step-by-step explanation:

this is the answer I think

4 0
2 years ago
if a 120 pound adult requires 3 ounces of a medication,how many ounces would be needed for a 200 pound adult
alexandr1967 [171]

Answer:

5 ounces

Step-by-step explanation:

it goes up one ounce by every 40 lbs.

8 0
2 years ago
Read 2 more answers
B) What should be subtracted from -7mn + 2m² + 3n² to get<br>m²+ 2mn + n²?<br>please help​
Hitman42 [59]

Answer: m²-9mn+2n²

Step-by-step explanation: make use of BODMAS strategy. Let the unknown be x.

-7mn+2m²+3n²-x= m²+2mn+n². Since we are concerned about getting the unknown,let's try to collect the like terms.

-7mn+2m²+3n²-(m²+2mn+n²)= x

-7mn+2m²+3n²-m²-2mn-n²= x

-7mn-2mn+2m²-m²+3n²-n²=x

-9mn+m²+2mn= x

X= m²-9mn+2n²

6 0
3 years ago
Let’s assume the 147 freshman maintained a 65% attendance rate during the first 4 week of school. If our next 4 week goal for at
shutvik [7]

Answer:

  • 12 students  

Step-by-step explanation:

If 65% equals 147

Then to maintain 70% there is a need for 5% more

<u>Which equals</u>

  • 5*147/65 ≈ 12 students
4 0
3 years ago
Read 2 more answers
Other questions:
  • Paul needs to buy 5/8 pound of peanuts. Measure a pound into sixteenths. What measure is equivalent to 5/8 pound
    14·1 answer
  • Solve the equation for t
    8·1 answer
  • Can somebody please help 4=-0.8n
    11·2 answers
  • The figure is made up of a cylinder and a cone.<br><br> What is the exact volume of the figure?
    8·2 answers
  • Without changing their values, convert the following 2's complement binary numbers into 8-bit 2's complement numbers. (12 points
    15·1 answer
  • WILL MARK BRAINLIEST!!! HELP!​
    13·1 answer
  • Please help plssssssss​
    9·2 answers
  • Put these into y=mx+b format SHOW YOUR WORK!!!! x-7y=7 and 6x-7y=-28
    13·2 answers
  • Does this graph represent a function??<br> NEED ASAP PLEASEEE
    5·1 answer
  • Aaron answered 7 out of 12 questions correctly on his last English quiz. Find his grade
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!