abbygreen
17.09.2019 •
Mathematics
Point b ∈ ac . if points k, m, n, and p are the midpoints of respectively ab , ac , mc , and nc , identify and write a statement about each pair of congruent segments.
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Ответ:
AK and KB
AM and MC
MN and NC
NP and PC
Step-by-step explanation:
* Lets explain how to solve the problem
- B ∈ AC
∴ B is located between A and C
- K is the mid point of AB
∴ K divides AB into two equal parts AK and KB
∴ AK = KB
- M is the mid point of AC
∴ M divides AC into two equal parts AM and MC
∴ AM = MC
- N is the mid point of MC
∴ N divides MC into two equal parts MN and NC
∴ MN = NC
- P is the mid point of NC
∴ P divides NC into two equal parts NP and PC
∴ NP = PC
* The congruent segments are:
AK and KB
AM and MC
MN and NC
NP and PC
Ответ:
AK ≅ KB
AM ≅ MC
MN ≅ NC
NP ≅ PC
Step-by-step explanation:
Given that point K is the midpoint of AB, then by definition of midpoint:
AK ≅ KB
Given that point M is the midpoint of AC, then by definition of midpoint:
AM ≅ MC
Given that point N is the midpoint of MC, then by definition of midpoint:
MN ≅ NC
Given that point P is the midpoint of NC, then by definition of midpoint:
NP ≅ PC
Ответ:
i'll try!
Step-by-step explanation: