Let's solve each analogy step by step. The format is:
A : B :: C : ?
This means: "A is to B as C is to ?" — we need to find the relationship between A and B, then apply that same relationship to C to find the missing item.
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1. Triangle : Divided Triangle :: Square : ?
-
Left side: A triangle is shown, then a triangle with lines dividing it into 3 smaller triangles (like a triangular pie chart).
- So, the transformation is:
adding internal lines to divide the shape into parts.
- In the triangle case, it’s divided into
3 parts (each corner).
- Now, the square is on the right. What would be the analogous division?
- The square has been divided by an
X, forming 4 smaller triangles.
- But wait: the first shape (triangle) was split into 3 parts; the square should follow a similar pattern?
Wait — actually, let's look more carefully.
But in the second pair:
- The triangle → triangle with internal lines (divided into 3 sections)
- The square → square with an X inside (divided into 4 parts)
So perhaps the rule is:
Add internal lines to divide the shape into equal parts based on its sides?
- Triangle has 3 sides → divided into 3 parts
- Square has 4 sides → divided into 4 parts
So the answer should be:
a square with an X (already shown).
But the square already has the X. So this one is complete? Wait — no, the analogy is:
Triangle : Divided triangle :: Square : ?
We are given the
divided triangle, and the
square, and we're to find what the square becomes.
But in the image, the square *already* has an X. So maybe the analogy is suggesting that just like the triangle gets divided into 3, the square gets divided into 4?
Yes — so the missing part is
a square with an X (already drawn). So this one is correct as-is.
✔ Answer: Square with an X
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2. Pentagon : 5 :: Octagon : ?
- Pentagon has
5 sides → labeled with number
5
- Octagon has
8 sides
- So the relationship is:
Number of sides → number
Therefore:
- Pentagon : 5 :: Octagon :
8
✔ Answer: 8
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3. Black Octagon : White Octagon :: Black Square : ?
- First pair: solid black octagon → hollow (white) octagon
- So the transformation is:
from filled to outline
- Apply to square: solid black square → ?
So the missing shape should be a
hollow (outline) square
✔ Answer: Hollow square (outline)
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4. 1 : one :: 2 : ?
- 1 is to "one" as 2 is to... ?
- This is
number to word form
- So: 1 → "one", so 2 →
"two"
✔ Answer: two
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5. Vertical Rectangle : Horizontal Rectangle :: Oval : ?
- First pair: vertical rectangle → horizontal rectangle
- Transformation:
rotation or orientation change
- So, the oval is vertically oriented → what would be the analogous horizontal version?
So, the missing shape should be a
horizontal oval
✔ Answer: Horizontal oval
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6. 2+3 : 5 :: 5+2 : ?
- 2 + 3 = 5
- 5 + 2 = 7
- So the relationship is:
sum of numbers
- So, 5+2 = 7
✔ Answer: 7
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✔ Final Answers:
1. Square with an X
2. 8
3. Hollow square (outline)
4. two
5. Horizontal oval
6. 7
These are the completed analogies.
Parent Tip: Review the logic above to help your child master the concept of analogy worksheet for 2nd grade.
