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
andreyandreev [35.5K]
4 years ago
15

Prove that the diagonals of a rectangle bisect each other. The midpoint of AC is _____

Mathematics
2 answers:
Aleksandr-060686 [28]4 years ago
7 0

Answer:

We choose D.

Step-by-step explanation:

Let the midpoint is O

We will use Angle-SIde-Angle principle to prove that the diagonals of a rectangle bisect each other.

Have a look at the two triangles: AOB and DOC, they are congruent because:

  • AB = DC
  • ∠OAB = ∠DCO because they are alternate angles
  • ∠OBA = ∠CDO because they are alternate angles

So we can conclude that: OB = OB  when two triangles: AOB and DOC are congruent.

Similar, apply for the two triangles: AOD and BOC are congruent so we have OA = OC .

=> It proves that the point O simultaneously is the midpoint and intersection point for the diagonals.

=> The midpoint of AC is (\frac{2a+ 0}{2} , \frac{0 + 2b}{2} ) = (a, b), we choose D.

Ulleksa [173]4 years ago
6 0

Answer:

(a,b)

Step-by-step explanation:

simply we find the midpoint of AC and the midpoint of Bd by dividing over 2

You might be interested in
Explain how would you find the square root of a number​
nirvana33 [79]

Answer:

multiply

Step-by-step explanation:

i know this from 3rd grade

7 0
3 years ago
Read 2 more answers
Can someone please help me figure out this problem. just figure out what 1,2, and 3
Aleksandr-060686 [28]
1 is 39. J don’t know about 2 and 3 though:(
4 0
3 years ago
1x10 to the fifth power over 4x10 to the negative faith power given on scientific notation
MissTica

Answer:

2.5*10^{8}

Step-by-step explanation:

<u><em>The correct question is</em></u>

1x10 to the fifth power over 4x10 to the negative fourth power given on scientific notation

we know that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.

we have

\frac{1*10^{5}}{4*10^{-4}}=(\frac{1}{4})*10^{5+4} =0.25*10^{9}= 2.5*10^{8}

8 0
3 years ago
The median number of goals scored by 7 players in a certain soccer season is 5. The range of the number of goals scored by those
OLEGan [10]
True true true true
3 0
3 years ago
In the diagram below, m
SCORPION-xisa [38]

Answer:

m<CGE: 86

Step-by-step explanation:

<CGE:

64 + 30 + x = 180

94 + x = 180

x = 86

6 0
3 years ago
Read 2 more answers
Other questions:
  • 7^(4) x 7^(-8) x 7<br><br> Rewrite the expression using the base only once.
    14·1 answer
  • Using exponents, what is the simplified form of 12x 6x7 оа 23 Ob 2x3 ос 63 6x 6x3​
    14·1 answer
  • 1. The following problem ropresents a population of bacteria. P(t)=360(2)^t where toquals time in hours. How many bacteria are p
    13·2 answers
  • A grocery store sells crackers in three box sizes. Which size box is the best buy? 8 oz for $2.00 12 oz for $2.64 16 oz for $3.2
    10·2 answers
  • G(x) =-2x-5<br>whay is g(-3) ? ​
    14·1 answer
  • Salvador wrote 15 letters to friends each month for p months in a row. Write an expression to show how many total letters Salvad
    8·1 answer
  • Please answer this thank you really appreciate it
    5·1 answer
  • Does this graph represent a function? <br>A=Yes <br>B=No​
    10·2 answers
  • Write the number that is poitioned at point b
    8·2 answers
  • Here is a rectangle work out the size of angle x and y
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!