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SYMMETRY AND GEOMETRIC TRANSFORMATIONS
MATCHING GAME
The goal of the puzzle is to make correct pairs of questions and answers with a minimalamount of incorrect attempts.
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SCORE
Finally I am becoming stupider no more.A suggestion of Paul Erdös, an excellent Hungarian mathematician, for his own epitaph.
In the diagram below, under which transformation will the triangle A′B′C ′ be the image of the triangleABC?
The puzzle is finished. You can see you scoreor browse the questions again.
T
A B
C
A′B′
C ′
1/4
T
S
A B
C
A′
B′
C ′
2/4
T
A B
C
A′
B′
C ′3/4
TS
A B
C
A′ B′
C ′4/4
T
A B
C
A′B′
C ′T
S
A B
C
A′
B′
C ′
T
A B
C
A′
B′
C ′
TS
A B
C
A′ B′
C ′
T
A B
C
A′B′
C ′T
S
A B
C
A′
B′
C ′
T
A B
C
A′
B′
C ′
TS
A B
C
A′ B′
C ′
T
A B
C
A′B′
C ′T
S
A B
C
A′
B′
C ′
T
A B
C
A′
B′
C ′
TS
A B
C
A′ B′
C ′
T
A B
C
A′B′
C ′T
S
A B
C
A′
B′
C ′
T
A B
C
A′
B′
C ′
TS
A B
C
A′ B′
C ′
a The reflection across the point T .The line reflection across the line T S.The rotation 45◦ anticlockwise about the cen-ter T .The translation by vector
−→T S.
The rotation 45◦ clockwise about the centerT .The reflection across the point B.
b The reflection across the point T .The line reflection across the line T S.The rotation 45◦ anticlockwise about the cen-ter T .The translation by vector
−→T S.
The rotation 45◦ clockwise about the centerT .The reflection across the point B.
c The reflection across the point T .The line reflection across the line T S.The rotation 45◦ anticlockwise about the cen-ter T .The translation by vector
−→T S.
The rotation 45◦ clockwise about the centerT .The reflection across the point B.
d The reflection across the point T .The line reflection across the line T S.The rotation 45◦ anticlockwise about the cen-ter T .The translation by vector
−→T S.
The rotation 45◦ clockwise about the centerT .The reflection across the point B.
e The reflection across the point T .The line reflection across the line T S.The rotation 45◦ anticlockwise about the cen-ter T .The translation by vector
−→T S.
The rotation 45◦ clockwise about the centerT .The reflection across the point B.
f The reflection across the point T .The line reflection across the line T S.The rotation 45◦ anticlockwise about the cen-ter T .The translation by vector
−→T S.
The rotation 45◦ clockwise about the centerT .The reflection across the point B.
Fantastic! Superb!Super!Can’t get any better!Exactly right!You deserve a standing ovation.Excellent! So close!Well done.This was hard, but you did it!Pretty good!Almost there, keep going!Middle of the road,you can do better!
Not bad, but needs improvement.Alright!You can do better than this.Not your best.Needs improvement.Get help.No luck today! Maybe next time.Not quite the worst result!Hug a friend and try again.I’m sorry.Only 4 grades away from the top!Please get help.We need to talk!I’m so sorry for you.
