INFORMATION:
We have the uppercase letters
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
And we must find:
a) letters which have two lines of symmetry
b) letters which have two rotational symmetries but no lines of symmetry
c) letters which will not appear reversed when they are held in front of a mirror
d) three words whose reflection in a mirror is also a word
STEP BY STEP EXPLANATION:
a)
To find these letters we need to we must draw two lines of symmetry of each uppercase letter and then see which letters have two lines of symmetry.
So, we will obtain
Finally, H, I, O and X has two lines of symmetry.
Note: X has more than 2 lines of symmetry, but it meets the condition of having 2
b)
The letters which have two rotational symmetries but no lines of symmetry are: N, S, Z
c)
The letters which will not appear reversed when they are held in front of a mirror would be letters which have a vertical line of symmetry
So, A, H, I, M, O, T, V, W, X, Y will not appear reversed when they are held in front of a mirror
d) Three word could be:
- WOW
- MOM
- TOOT
ANSWER:
(a) H, I, O, X
(b) N, S, Z
(c) A, H, I, M, O, T, V, W, X, Y
(d) WOW, MOM, TOOT