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Irregular Edge Matching

2 questions

Question 1Question →

Match each left-side puzzle component (1-4) with its exact complementary right-side component (A-D) that will interlock seamlessly to form a perfect solid rectangle. The mating edges are vertical and their profiles are described sequentially from top to bottom.

Click a left item, then click its matching right item

Items

Component 1: Right boundary features a triangular notch, a straight vertical segment, and a small semi-circular tab.
Component 2: Right boundary features two consecutive sharp zigzag tabs, followed by a square notch.
Component 3: Right boundary features a large semi-circular recess, a straight vertical segment, and a 45-degree angled tab.
Component 4: Right boundary features a wide rectangular tab, a narrow rectangular tab, and a wide rectangular recess.

Matches

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Answer

Component 1 pairs with Component C; Component 2 pairs with Component D; Component 3 pairs with Component A; Component 4 pairs with Component B.
For two irregular pieces to form a seamless rectangle without rotation, the mating edge of the right piece must be the exact spatial inverse of the left piece's mating edge. Every protrusion on the left component must meet a corresponding recess of identical shape, size, and location on the right component, and vice versa.

Step-by-Step Solution

1
Analyze the edge profile of Component 1 from top to bottom.
Identified a sequence of a triangular notch, a flat segment, and a small semi-circular tab.
Establishing the sequence of features is required to find the exact inverse complement.
2
Search the right-side components for the inverse of Component 1's profile.
Component C provides the exact inverse: a triangular tab (to fill the notch), a flat segment, and a small semi-circular notch (to receive the tab).
A seamless fit requires every recess to have a corresponding protrusion of the exact same shape and size.
3
Analyze Component 2 and locate its inverse.
Component 2 has zigzag tabs and a square notch; Component D has the matching zigzag notches and a square tab.
Matching the sharp angular features precisely ensures the geometry locks together correctly without collisions.
4
Analyze Component 3 and locate its inverse.
Component 3 has a large semi-circular recess and angled tab; Component A has the matching large semi-circular tab and angled notch.
The large curved feature and angular tab pair uniquely with their exact inverse.
5
Confirm the remaining pair (Component 4 and Component B).
Component 4's sequence of wide/narrow tabs and wide recess perfectly complements Component B's wide/narrow recesses and wide tab.
Verifying the final pairing ensures no sequence matching errors were made in previous steps.

Key Concept

Identifying complementary inverse shapes for irregular edge assembly.

Alternative Method

Mentally draw the 'negative space' along the right edge of each left-side component. This imaginary shape represents the exact profile you must search for among the right-side components.
Estimated Time:1m 30s
Question 2Question →

During industrial fabrication, specific metal plates must be welded together to form solid, continuous surfaces without gaps. Match each left-side metal plate, characterized by its specialized right-side welding seam, with the appropriate right-side plate that possesses the exact complementary left-side seam.

Click a left item, then click its matching right item

Items

Protruding dovetail joint
Inward semi-cylindrical channel
Protruding jagged sawtooth profile
Inward square-cut keyway

Matches

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Answer

The protruding dovetail joint matches the inward dovetail socket; the inward semi-cylindrical channel matches the protruding semi-cylindrical rod; the protruding sawtooth profile matches the inward sawtooth recess; and the inward square-cut keyway matches the protruding square-cut key.
A flawless weld between two plates requires that every extending structural feature (positive space) on one plate is exactly accommodated by a corresponding cut-out (negative space) of the identical geometry on the adjoining plate, allowing them to slide together without rotation.

Step-by-Step Solution

1
Examine the right-edge welding seam of each left-side plate to determine if it is a protrusion (positive space) or a recess (negative space).
Identified two protrusions (dovetail, sawtooth) and two recesses (channel, keyway).
Understanding the physical geometry is the first step to finding a complementary fit.
2
Search the right-side plates for the exact inverse geometric shape for each specific profile.
Paired the dovetail protrusion with the dovetail socket, and the sawtooth protrusion with the sawtooth recess.
A protrusion requires an identical recess to form a flush surface.
3
Match the remaining recessed left-side plates with their corresponding protruding right-side plates.
Paired the semi-cylindrical channel with the rod, and the square-cut keyway with the key.
A recess must be filled by an identical protrusion to eliminate gaps.

Key Concept

Identifying complementary positive and negative spatial geometries (protrusions and recesses) to seamlessly interlock irregular edges.
Estimated Time:45s
Irregular Edge Matching Practice Questions — Armed Services Vocational Aptitude Battery (ASVAB) | Examkin