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
RUDIKE [14]
3 years ago
8

ABCD is a parallelogram. E is the point where the diagonals AC and BD meet. Prove that triangle ABE is congruent to triangle CDE

Mathematics
2 answers:
iogann1982 [59]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that ABCD is  a parallelogram.

E is the point where the diagonals AC and BD meet.

Consider triangles ABE and CDE

Statement                         Reason

--------------------------------------------------------------------

1) AB =CD                         Opposite sides of a parallelogram

2) Angle ABE =

Angle EDC                      Alternate angles of two parallel lines

3) BE = DE                       Diagonals bisect each other in a parallelogram

Hence by SAS axiom the two triangles are congruent.

Darina [25.2K]3 years ago
5 0
ABCD is a parallelogram                  Given
AE=CE, BE=DE                                <span>The diagonals of a parallelogram are                                                                     bisect each other
</span>∠AEB=∠CED                                    Vertical angles are congruent
ΔABE is congruent to ΔCDE            SAS theorem<span>
</span>
You might be interested in
Identify each function as a constant, direct variation, absolute value, or greatest integer function.
Anton [14]
None of those describe this function.

It's not a constant function, because it is not equal to a constant (something that isn't a variable)

It doesn't show direct variation, because it can't be represented in the form
y = kx.

It isn't an absolute value function because the absolute value isn't taken anywhere.
If it was an absolute value function it would look something like this:
g(x) = |x+3|

It isn't a greatest integer function, because the greatest integer isn't taken anywhere.
If it was a greatest integer function it would look something like this:
g(x) = \left \lfloor{x + 3}\right \rfloor

Are you sure you typed that question right?
7 0
3 years ago
7 eights into decimal and fraction​
Vinvika [58]

Answer:

Decimal Form: 0.875    Fraction Form: 7/8

Step-by-step explanation:

7 divided by 8 is 0.875 and another way to write seven eighths is 7/8

I hope this helps

6 0
2 years ago
The table shows the number of miles that a car travels and the gallons of gasoline it uses to go those distances.
PtichkaEL [24]

Answer:

4 -.-

Step-by-step explanation:

8 0
2 years ago
What is the value of x in the equation 1/5 x-2/3 y=30 when y =15
laiz [17]
First replace y with 15.
1/5x-10=30
Then just solve from there.
x=200
4 0
2 years ago
Read 2 more answers
If a cylender has a volume of 340ft and a radius of three ft what is the height
rewona [7]

Answer:

h = 12.03

Substitute 22÷7 for pi.

h = V ÷ πr²

h = 340 ÷ (22÷7) × 3²

   ≈ 12.03

7 0
1 year ago
Other questions:
  • A company sells tubs of yogurt for 75¢ each. twenty percent of this is profit for the food company. how much profit does the com
    7·1 answer
  • Siobhan wants to find a rectangular plot of land with an area of 57 ms. If she
    6·1 answer
  • Which is the best estimate for the number of items that customers bought during a trip to the grocery store one day?
    7·2 answers
  • Which of the following are used to prove that triangles are congruent? 1. ASA 2. SSS 3. AAA 4. AAS 5. SAS select all that apply.
    11·1 answer
  • Original Price<br> Percent of Discount<br> Sale Price<br> $82<br> $65.60
    5·1 answer
  • 1.3.3 The cube root of 27<br>​
    13·1 answer
  • NO WEBSITES/ fake links or your getting reported! Help me with ALL the problems!
    15·1 answer
  • A 200 foot string attached to a kite makes a 65* angle with the ground. What is the height of the kite to the nearest tenth
    13·1 answer
  • Which expression is equivalent to a^m + a^n? A, a^m - n B, a^m+n. C, a^m • n d, a^m (divided by) n
    8·1 answer
  • B = 23a + 1<br> b = -13a + 7
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!