We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
141
2
avatar+294 

 

abcd is a square. How many squares in the same plane have two or more vertices in the set  {a,b,c,d} ?

 Feb 4, 2019
 #1
avatar+5226 
+1

I'm counting 8.

 

(a,b), (b, c), (c, d), (d, a) each with two other vertices not in {a,b,c,d}

 

(a,c) to the ne and sw

(b,d) to the nw and the se

 Feb 4, 2019
 #2
avatar+7683 
+2

I counted 8 too.

1 square share the vertices a and b.

1 square share the vertices c and b.

1 square share the vertices c and d.

1 square share the vertices a and d.

2 square share the vertices c and a.

2 square share the vertices b and d.

MaxWong  Feb 7, 2019

2 Online Users