Problem 1 · 2022 Math Kangaroo
Easy
Spatial & Visual Reasoning
sequence-of-figures
Six points are placed and numbered as shown on the right. Two triangles are drawn: one by connecting the even-numbered points, and one by connecting the odd-numbered points. Which of the following shapes is the result?
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Answer: E
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Hint 1 of 2
Mark which of the six points are odd (1,3,5) and which are even (2,4,6), then picture the two triangles they make.
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Hint 2 of 2
Each triangle is fixed by its three points; overlay them and compare the combined outline to each option.
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Approach: connect the odd and even points and match the overlaid figure
- The odd points 1,3,5 form one triangle and the even points 2,4,6 form another.
- Drawing both on the given point positions, the two triangles cross each other in a particular way.
- Comparing that overlap with the choices, only E reproduces it.
- So the result is E.
Mark:
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