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
Yakvenalex [24]
2 years ago
12

Given: ABCD is a rectangle.

Mathematics
2 answers:
oee [108]2 years ago
8 0

By SAS property, ABC ≅  DCB.

<h3>How to prove the deductions</h3>

In this question we have to proof ABCD has congruent diagonal. By SAS property and reflexive property it can be proved as follows:

Given:

ABCD is a rectangle.

Prove:

Diagonal AC ≅ Diagonal BD

From the question,

As we can see that, ABCD is a rectangle, it is also a parallelogram.

Thus, ABCD is a parallelogram, opposite sides of a parallelogram are congruent.

⇒ AB ≅  DC  

⇒ BC ≅ BC (Reflexive Property of Congruence)

Hence, ∠ABC and ∠DCB are right angles by the definition of rectangle.

∠ABC ≅ ∠DCB (all right angles are congruent)

Therefore, by SAS property,  ABC ≅  DCB.

⇒ segment AC ≅ segment BD

Learn more about rectangular congruency here:

brainly.com/question/7162498

#SPJ1

Savatey [412]2 years ago
8 0

Answer:

♣ = <u><em>parallelogram side theorem</em></u>

♦ = <u><em>SAS</em></u>

♠ = <u><em>CPCTC</em></u>

(Correct On Edgen)

You might be interested in
Solve the inequality 2x – 5 &gt; 7<br> a. x&gt;6<br> b. x &gt;12<br> c. x
julsineya [31]
You start with 2x -5>7 the you add five to both sides 2x-5+5>7 +5    2x.12  then divide both sides by 2 2x divided by 2 > and 12 divided by 2 and get x>6 
3 0
3 years ago
Adele is paid a weekly salary of $685. She is paid an additional $23.50 for every hour of overtime she works. This week her tota
loris [4]
The answer is 7 overtime hours
7 0
3 years ago
Read 2 more answers
A fish swims at a rate of 8 feet per second. How far can the fish swim in 23<br> seconds?
Norma-Jean [14]

Answer:

8(23) so 184

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How would you write - 4.5 as a fraction
Helga [31]
You would write it as -4 1/2
5 0
3 years ago
Read 2 more answers
Help pls I’ll give 50 points ! If right math ppl
Georgia [21]

f(x)=-3x

Substitute x = 5 in the equation.

f(5)=-3(5)\\f(5)=-15

Therefore, the answer is -15 or last choice when x = 5.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Factor 4x^4+7x^2-2=0
    12·1 answer
  • One tank is filling at the rate of 3/4 gallon / 2/3 minute a second tank is filling at the rate of 3/8 gallon per 1/2 minute whi
    9·1 answer
  • Billy started a paper route with 21 customers. If he adds 3 new customers every week, how many weeks will it take to double the
    11·1 answer
  • help please You are 330 miles from home and you are driving toward home at an average of 55 mph. Write an equation to represent
    14·1 answer
  • Please help fast this is for my sister and I don't understand (30 points)​
    8·1 answer
  • a picture is 5 inches by 7 inches. there is a frame around the picture that is of uniform width. the area of the frame and the p
    7·1 answer
  • Is 63 / 168 equivalent to 312 / 832 ​
    12·2 answers
  • PLEASE HELP
    10·1 answer
  • Jeremy had $32.50 in his savings account. He withdrew $4.50 each week for 3 weeks. How much money did he have left in the accoun
    8·1 answer
  • Can someone help with question 1 please
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!