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
Burka [1]
3 years ago
15

For any line, if you draw two right triangles using the line as the hypotenuse, can the triangles be congruent? Why or why not?

Do they have to be congruent? Why or why not?
ANSWER ALL OF THE QUESTIONS OR DONT ANSWER AT ALL THANK YOU.

Mathematics
1 answer:
Tom [10]3 years ago
4 0

Answer:

The triangles can be congruent but not always.

The triangles do not have to be congruent, but they have to be similar.

Step-by-step explanation:

See the attached diagram with this answer.

For any line (say OP), if you draw two right triangles ( Δ ABC and Δ A'B'C') using the line, OP as the hypotenuse, then the triangles can be congruent. This will be only when AC = A'C'.

That means if we draw two right triangles using the same length of a straight line as hypotenuse, then only the two right triangles will be congruent.

Now, If AC = A'C' then automatically, it becomes AB = A'B' and BC = B'C' and then by SSS criteria, the triangles Δ ABC and Δ A'B'C' will be congruent i.e. Δ ABC ≅ Δ A'B'C'.

But the triangles Δ ABC and Δ A'B'C' do not have to be congruent but they have to be similar.

Because, \frac{A'B'}{AB} = \frac{B'C'}{BC} = \frac{A'C'}{AC}

If this ratio becomes 1 : 1 then only those triangle will be congruent otherwise they will be similar only. (Answer)

You might be interested in
Which of the following are techniques you have learned so far for solving a quadratic equation?
Usimov [2.4K]
On plato it is A AND B.

6 0
3 years ago
Joshua is a year older than his sister McKay. The product of their ages is 33 more than 7 times Joshua’s age. How old are Joshua
joja [24]

Answer:

Joshua is 11 and Mckay is 10.

6 0
2 years ago
PlZ HELP ME ITS URGENT<br><br>A.cannot be determined<br><br>B.47° <br><br>C.63°<br><br>D.70°​
Crazy boy [7]

Answer:

C.

Step-by-step explanation:

the second answer is correct

3 0
3 years ago
Read 2 more answers
Solve for both systems: y+7z=22 and 8y + 7z = 127
7nadin3 [17]
Manipulate the first equation to
y = 22-7z

Then substitute in the second to find z
8(22-7z) + 7z = 127
176-56z+7z = 127
-49z = -49
z = 1

So y = 22-7(1) = 22-7 = 15

y = 15; z = 1
5 0
3 years ago
Read 2 more answers
Please answer thxxxx
Llana [10]
B. 13

12^2 + 5^2 = c^2
169 = c^2
13 = c


please mark as brainliest :D
4 0
2 years ago
Read 2 more answers
Other questions:
  • Here are the pictures I need help with (Math)
    12·2 answers
  • A bowl of cereal weighs 60 oz how heavy is it in L
    10·2 answers
  • The all-time highest batting averages in major league baseball belong to Ty Cobb with a .366 batting average and Rogers Horns by
    15·1 answer
  • Jackie’s service charge at a beauty salon was $72.60 before tax. The sales tax rate was 8%. If she added 20% of the amount befor
    10·1 answer
  • Solve then check solution
    5·1 answer
  • Determine whether the statement is always, sometimes, or never true. Explain your reasoning. - Sometimes. Not every rectangle is
    7·1 answer
  • What is 90% rounded to the thousandths place?
    13·1 answer
  • Given the coordinates for the function below, who of the following are coordinates for its inverse?
    12·1 answer
  • Describe what is being done in each step while solving the equation -2x + 6 +6x = 6 ( 2x -3 )
    8·1 answer
  • What's the intervoluntation and inequality notation​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!