a) Are there any other line segments that you could draw?

b) Are there any other line segments that you could draw?

No!

Yes!

Solution

Solution

Solution

c) Here are 5 points. Draw all the line segments you can, connecting pairs of them.

d) Starting with 2 points, how many line segments can you draw between them?

e) Tony decided he could actually draw two line segments between two points,

and maybe even more. This is what he drew:

What do you think of his idea? Discuss it with a partner.

Solution

A = (4, 3)
B = (5, 5)
C = (8, 3)
D = (7, 5)
F = (5, 1)
step = 1 (slider from 1 to 5, step 1)
G = (5, 1)
H = (4, 3)
I = (9, 2)
J = (8, 5)
E = (5, 2)
K = (9, 1)
L = (8, 4)
M = (9, 5)
N = (5, 1)
O = (4, 3)
P = (8, 2)
b = Segment(N, M)
c = Segment(B, F)
d = Segment(F, C)
e = Segment(D, F)
f = Segment(A, F)
g = Segment(A, C)
h = Segment(A, B)
i = Segment(A, D)
j = Segment(B, D)
k = Segment(B, C)
l = Segment(D, C)
m = Segment(E, L)
n = Segment(L, K)
p = Segment(K, E)
q = Segment(H, J)
r = Segment(H, I)
s = Segment(H, G)
t = Segment(G, I)
a_1 = Segment(G, J)
b_1 = Segment(J, I)
Q = (3.92, 2.92)
R = (8.04, 1.9)
a = Segment(Q, R)
S = (3.98, 3.08)
T = (8.04, 1.94)
c_1 = Segment(S, T)
o = false
u = false
v = false
w = false