Problem 4 · 2022 Math Kangaroo
Medium
Spatial & Visual Reasoning
foldingreflection
Various symbols are drawn on a piece of paper (see picture). The teacher folds the left side along the vertical line to the right. How many symbols of the left side are now congruent on top of a symbol on the right side?
Show answer
Answer: C — 3
Show hints
Hint 1 of 2
Reflect each left-side symbol across the fold line and see where it lands.
Still stuck? Show hint 2 →
Hint 2 of 2
A match needs the SAME shape AND the same orientation after the flip.
Show solution
Approach: reflect the left half onto the right and count exact matches
- Folding flips every left symbol horizontally onto the matching spot on the right.
- Compare each landed symbol with the symbol already on the right, requiring both shape and orientation to agree.
- Exactly 3 of the left symbols land congruently on a right-side symbol.
Mark:
· log in to save