Answer:
we choose (3,4)
Step-by-step explanation:
Given the coordinates:
- A (5, 2)
- B (5, -2)
- C (2,1)
- L (-5, 6)
- M (-5, -6)
To find a distance between two points or the length of the segment, we use the following formula:
- Because A and B are located in the same line x =5
=> the lenght of AB =
- Because A and B are located in the same line x =-5
=> the lenght LM =
- Because ABC is similar to LMN
=> the ratio of LM : AB = 12:4 = 3:1
<=> the ratio LN : CA = 3:1
We need to find the lenght of CA
=
=> the lenght of LN = 3CA = 3
Let (x, y) is the coordinate of N, we have:
The length of LN: =
Let try all the possible answer;
(3,4) => True
So we choose (3,4)