Matematica

1. PUNTO MEDIO

2. A(10,2) B(20,24)M(x,y)
𝑋 =
𝑥1 + 𝑥2
2
𝑌 =
𝑦1 + 𝑦2
2
𝑋 =
10 + 20
2
𝑋 =
30
2
𝑋 =15
𝑌 =
2 + 24
2
𝑌 =
26
2
𝑌 =13
M(15,13)
R(-12,-8) C(16,12)M(x,y)
M(2,2)
𝑋 =
−12 + 16
2
𝑋 =
4
2
𝑋 = 2
𝑌 =
−8 + 12
2
𝑌 =
4
2
𝑌 =2

3. F(x,y)
F(-9,3)
𝑋 =
−30 + 12
2
𝑋 =
−18
2
𝑋 = −9
𝑌 =
12 + −6
2
𝑌 =
6
2
𝑌 = 3
𝑋 =
2 + 30
2
𝑋 =
32
2
𝑋 =16
𝑌 =
4 + 6
2
𝑌 =
10
2
𝑌 = 5
P(x,y)
P(16,5)

4. 𝑋 =
−5 + 2
2
𝑋 =
−3
2
𝑌 =
−3 + 5
2
𝑌 =
2
2
𝑌 = 1
P(x,y)
P(-3/2,1)
−2 =
−4 + 𝑥
2
−4 =-4 + x
−1 =
3 + 𝑦
2
−2 = 3 + 𝑦
−5 = Y
𝑋 =
𝑥1 + 𝑥2
2
𝑌 =
𝑦1 + 𝑦2
2
𝑥 =0

5. −1 =
−3 + 𝑥
2
−2 =-3 + x
4 =
8 + 𝑦
2
8 = 8 + 𝑦
0 = Y
𝑋 =
𝑥1 + 𝑥2
2
𝑌 =
𝑦1 + 𝑦2
2
1 =X
x =
−3 + 9
2
x =6/2
4 =
8 + 𝑦
2
8 = 8 + 𝑦
0 = Y
𝑋 =
𝑥1 + 𝑥2
2
𝑌 =
𝑦1 + 𝑦2
2
x =3

6. M(x,y)
𝑋 =
2 + 10
2
𝑋 =
12
2
𝑋 = 6
𝑌 =
26 + 2
2
𝑌 =
28
2
𝑌 = 14
𝑋 =
−16 + 2
2
𝑋 =
−14
2
𝑋 = −7
𝑌 =
−30 + 4
2
𝑌 =
−26
2
𝑌 = −13

7. 2 =
8 + 𝑥
2
4 =8 + x
6 =
8 + 𝑦
2
12 = 8 + 𝑦
4 = Y
𝑋 =
𝑥1 + 𝑥2
2
𝑌 =
𝑦1 + 𝑦2
2
−4 =X