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
OverLord2011 [107]
3 years ago
10

The figure below shows a rectangle ABCD having diagonals AC and DB: A rectangle ABCD is shown with diagonals AC and BD. Jimmy wr

ote the following proof to show that the diagonals of rectangle ABCD are congruent: Jimmy's proof: Statement 1: In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent) Statement 2: Angle ADC = Angle BCD (angles of a rectangle are 90°) Statement 3: Statement 4: Triangle ADC and BCD are congruent (by SAS postulate) Statement 5: AC = BD (by CPCTC) Which statement below completes Jimmy's proof?
Mathematics
2 answers:
sergiy2304 [10]3 years ago
7 0

Answer

Statement 3: The side BC = BC (common side for ΔADC and ΔBCD)

Solution


Rectangle ABCD having diagonals AC and DB:  

proof


Statement 1: In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent)


Statement 2: Angle ADC = Angle BCD (angles of a rectangle are 90°)  

Statement 3: The side BC = BC (common side for ΔADC and ΔBCD)


Statement 4: Triangle ADC and BCD are congruent (by SAS postulate) Statement 5: AC = BD (by CPCTC)


The statement 3 completes Jimmy's proof.

Kisachek [45]3 years ago
6 0

Answer:

Statement 3: DC=CD (Common)

Step-by-step explanation:

According from the  statement given, consider ΔADC and ΔBCD, we get

AD=BC(opposite sides of a rectangle are congruent)

∠ADC=∠BCD(angles of a rectangle are 90°)

DC=CD(Common)

Thus, by SAS rule, ΔADC≅ΔBCD and by CPCTC AC=BD.

Thus, Statement 3 that is using the common sides of the triangle jimmy can prove the proof.

You might be interested in
Staples sell for $.60 a box. How many boxes can be bought for $3.45?
True [87]

Answer:

You can buy 5 boxes of staples

Step-by-step explanation:

3.45 divided by $.60 is 5.75 and u cannot get .75 boxes of staples so it rounds to 5.

6 0
3 years ago
Read 2 more answers
Hi i love you! &lt;3<br> So does God and everyone else
Alex

Answer:

thanks

u to

Step-by-step explanation:

4 0
2 years ago
Use the following information to complete parts I, II, and III. 1 hour=3600 seconds
icang [17]

Answer:

I) There are 8.760\times 10^3 hours in 1 year.

II) The exact number of hours in one year is 8.76582\times 10^3 hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I)  Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

n=24\times 365

n=8760

In scientific notation,

8760=8.760\times 10^3

So, there are 8.760\times 10^3 hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

n=\frac{31556952}{3600}

n=8765.82

In scientific notation,

8765.82=8.76582\times 10^3

So, the exact number of hours in one year is 8.76582\times 10^3 hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

  • The exact numbers of hours using 365 days is 8760 which is written as 8.760\times 10^3 in scientific notation but using the given data we get 8.76582\times 10^3 hours.
  • Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.
  • If we round these we get 8.8\times 10^3 hours which has two significant numbers.
8 0
3 years ago
2 groups of 3 tenths pls answer today I need this answer
SSSSS [86.1K]

Answer:

6/10

Step-by-step explanation:

2 groups of 3/10 =

2 × 3/10 =

6/10

3 0
3 years ago
Jose wants to build a rectangular kennel for his dog. His dad will let him useca spot in the corner of the yard that is 12 feet
Crazy boy [7]
The answer is probably about 21 feet






3 0
3 years ago
Read 2 more answers
Other questions:
  • The value of 60 is between which pair of consecutive numbers
    10·1 answer
  • Set up equation for the following angles
    12·2 answers
  • Help needed please
    15·1 answer
  • Please help<br><br><br><br> solve the equation:<br><br><br>2x + 1-x/4 = 3
    15·2 answers
  • Jerome solved the equation below by graphing.
    6·2 answers
  • The expression 7+7x is equivalent to the expression
    7·2 answers
  • A right rectangular prism is  5 1/4in. wide, 12 1/2.in long. and 4 in tall,What is the volume of the prism?
    5·2 answers
  • Determine the intercept of the line
    7·1 answer
  • Jack wants to abopt all kittens that weigh more than 4 ounces how many kittens will he abopt
    9·1 answer
  • What’s the value of x ?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!