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.
Answer:
infinite
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
-a -8b = -9 + 24 = 15
Answer:
75 students
Step-by-step explanation:
first write a ratio of the students asked to students dislike
40:30, 40 to 30, or 40/30
now simplify the ratio
4/3
now she asked 40 students, so we have to find out the unit rate
so we have to flip the fraction to 3/4 and then divided the top and bottom by 4
0.75/1
now multiply the top and bottom by 100
75/100
75 students
Answer:
314 cm ^ 2
Step-by-step explanation:
First do, 3.14 x 20 ^ 2
3.14 x 20 ^ 2 = 1,256
Then do, 1,256/4
1,256/4 = 314
Why 4?
This part of the circle is 1/4 of the entire circle.
What does ^ mean?
It's just a way to say to the power of on a computer.
Hope this helps! :)
