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
ddd [48]
2 years ago
14

Sketch and prove the following for the two congruent triangles ∆ABC and ∆DEF.

Mathematics
1 answer:
madreJ [45]2 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

<u>Given:</u> ΔABC ≅ ΔDEF

AM, DN - medians

<u>Prove:</u> AM ≅ DN

Proof:

1. Congruent triangles ABC and DEF have congruent corresponding parts:

  • AB ≅ DE;
  • BC ≅ EF;
  • ∠ABC ≅ ∠DEF.

2. BM ≅ MC - definition of the median AM;

3. EN ≅ NF - definition of the median DN;

4. AB ≅ 2BM, EF ≅ 2EN

BM ≅ 1/2 AB,

EN ≅ 1/2 EF,

thus, BM ≅ EN

5. Consider two triangles ABM and DEN. In these triangles \:

  • AB ≅ DE (see 1));
  • BM ≅ EN (see 4));
  • ∠ABM ≅ ∠DEN (see 1).

So, ΔABM ≅ ΔDEN by SAS postulate.

6. Congruent triangles ABM and DEN have congruent corresponding sides BM and DN.

You might be interested in
Which number is NOT written in scientific notation?
Snowcat [4.5K]
Answer

25.67 x 10 square root -2 ..........<span>is NOT written in scientific notation



should be 

</span>2.567 x 10 square root -3 (in scientific notation form)
4 0
3 years ago
One angle is a right angle
igomit [66]

Answer:

an angle with 90 degree is a right angle

7 0
2 years ago
How many times larger is a 10pound dog from a hamster weighing 5/8 pound
lutik1710 [3]
 it would be 16 times larger
6 0
3 years ago
What is the answer? help me
puteri [66]
The answer that I would choose would be C.
5 0
2 years ago
Help please quickly
nadezda [96]
0.001 x 425 = .425

answer C. $0.425
3 0
2 years ago
Read 2 more answers
Other questions:
  • Question is in the picture<br> Can anyone help with it?
    14·1 answer
  • Which term shows a product of a number and a variable? 5 + 6x - 7 + 4 <br> A. 5 B. 6x C. -7 D. 4
    13·2 answers
  • Question 3 of 10
    6·1 answer
  • 3
    9·1 answer
  • If you can eat 56 wings in 8 minutes, how many can you eat in 1 minute
    11·2 answers
  • It took Hannah 32 minutes to run 8 laps. How many minutes will it take her to run 1 lap?
    10·1 answer
  • This is for math, we need to create a chart on something, what's your favorite color?
    7·2 answers
  • Solve this algebraic expression:<br> 5x-2(3x)
    10·2 answers
  • If the slope of a line is -2, what is the slope of a perpendicular line?
    10·2 answers
  • The number 100 can be written as the sum of a 1-digit prime number and a 2-digit prime number. What is the product of these prim
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!