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
BARSIC [14]
3 years ago
14

The figure below shows rectangle ABCD.

Mathematics
2 answers:
kipiarov [429]3 years ago
4 0

Answer: We can find out the missing statement with help of below explanation.

Step-by-step explanation:

We have a rectangle ABCD with diagonals AC and BD ( shown in given figure.)

We have to prove: Diagonals AC and BD bisect each other.

In triangles, AED and BEC.

\angle ADB \cong \angle CBD ( By alternative angle theorem)

AD\cong BC ( Because ABCD is a rectangle)

\angle CAD\cong \angle ACB  ( By alternative angle theorem)

By ASA postulate,\triangle AED\cong \triangle BEC

By CPCTC, BE\cong ED and CE\cong EA

⇒ BE= ED and CE=EA

By the definition of bisector, AC and BD bisect each other.


AnnyKZ [126]3 years ago
3 0

Answer:

To Prove the diagonals of the rectangle bisect each other, Statement with reason is given:

Statement  ABCD is a rectangle.

Reason:Given

Statement

:Opposite sides are parallel.(AB║DC)

Reason: Definition of a Parallelogram

Statement

:Opposite sides are parallel.(AD║BC)

Reason: Definition of a Parallelogram

Statement

:∠CAB ≅ ∠ ACB

Reason: Alternate interior angles theorem

Statement

: ∠ADB ≅ ∠CBD

Reason:  Alternate interior angles theorem

Option D:∠CAB ≅ ∠ ACB

In ΔAED and ΔBEC

∠CAB ≅ ∠ ACB→→Alternate interior angle,as AB║DC.

∠ADB ≅ ∠CBD→→Alternate interior angle,as AD║BC.

AD=BC→→Opposite sides in a rectangle are equal.

ΔAED ≅ ΔBEC⇒⇒[ASA]

AE=EC→[CPCTC]

BE=ED→[CPCTC]

You might be interested in
Help In math pls this a slope problem
adelina 88 [10]

Answer:

D

Step-by-step explanation:

5 0
2 years ago
A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during
Elden [556K]
<span>A regular octagon is a closed figure with sides of the same length and internal angles of the same size. so if it is rotated 360 degrees it should coincide with its preimage after every 45 degrees. So 360/45= 8 times</span>
8 0
3 years ago
Read 2 more answers
What is the standard form of y = 6(x - 2)2 - 3?
AveGali [126]

Answer I think A

Step-by-step explanation:

4 0
2 years ago
Phillip claimed that the expression − p + 5 + p is positive for any value of p. Determine whether Phillip’s statement is always
DIA [1.3K]

Answer:

always true.

the expression will always be equal to +5 because -p+p is zero

at any given value to p, the value is constantly +5

8 0
2 years ago
Read 2 more answers
A triangle has one angle that measures 72 degrees and one angle that measures 18 degrees what kind of triangle is it
MariettaO [177]

Answer:

a rightangle triangle

Step-by-step explanation:

because 72+18=90 degrees

when a side is 90 degrees in a triangle, it is right-angled.

hope this helps you!!

7 0
3 years ago
Other questions:
  • Express 3^2 = x as a logarithmic equation.
    9·1 answer
  • 3. A researcher wants to know whether people who regularly listen to radio talk shows are more or less likely to vote in nationa
    8·1 answer
  • Kaleb changed the subtraction in the expression to adding the additive inverse. What was his error? 6 minus 17 right-arrow negat
    8·1 answer
  • Hello! I really need some help on this.
    7·1 answer
  • What makes 3 + 7 + 2 = __ + 2 true?
    9·2 answers
  • Can someone help please?
    6·1 answer
  • Pls can u help me answer this❔​
    5·1 answer
  • 1. convert 1011101 two to
    12·1 answer
  • Build the equation then solve it, <br><br> Step by step explanation please
    12·1 answer
  • If we sample from a small finite population without replacement, the binomial distribution should not be used because
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!