Multi-Point Alignment

1 questions

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Match each set of unassembled components with the correct description of their final assembled figure. Ensure all corresponding multi-point alignment markers perfectly match.

Click a left item, then click its matching right item

Items

Set 1: A top semi-circle with markers X and Y (left to right) on its straight edge, and a bottom semi-circle with markers Y and X (left to right) on its straight edge.
Set 2: Two identical squares. Square A has two dot markers on its right-hand edge. Square B has two dot markers on its left-hand edge.
Set 3: A large square missing a rectangular corner section containing star markers, and a small rectangle with corresponding star markers on two adjacent corners.
Set 4: Two right triangles. Triangle 1 has diamond markers on its vertical leg. Triangle 2 has diamond markers on its horizontal leg.

Matches

Show answer & explanation

Answer

Set 1 matches the full circle requiring a 180-degree rotation. Set 2 matches the horizontal rectangle requiring translation. Set 3 matches the solid large square. Set 4 matches the composite triangle requiring a 90-degree rotation.
Each component set contains specific geometries and multi-point markers that dictate exactly one assembly method. By tracing how the points must connect (X to X, dot to dot), we can determine whether the pieces require direct translation (sliding), a 90-degree rotation, or a 180-degree rotation to assemble the composite figure.

Step-by-Step Solution

1
Analyze Set 1's semi-circles and their markers.
Identify that the X and Y markers are reversed relative to each other, necessitating a 180-degree rotation to align them.
Without rotation, X would align with Y, which is an incorrect multi-point connection.
2
Analyze Set 2's squares and their markers.
Identify that the markers are on the right edge of Square A and the left edge of Square B.
This means they can be pushed directly together side-by-side without rotation to form a rectangle.
3
Analyze Set 3's L-shaped geometry and small rectangle.
Identify that the small piece perfectly fills the cutout space in the large piece.
Matching the star markers slots the piece into the negative space, completing the square.
4
Analyze Set 4's right triangles.
Identify that the connection markers are on perpendicular legs (vertical vs. horizontal).
A 90-degree rotation is required to make a horizontal leg vertical (or vice versa) to align the diamond markers.

Key Concept

Multi-Point Alignment and Mental Rotation
Multi-Point Alignment Practice Questions — Armed Services Vocational Aptitude Battery (ASVAB) | Examkin