Assembling Objects Flashcards

A flat pattern shows a cross-shaped net made of 6 squares. When folded, which pairs of squares become opposite faces of the cube?

Answer: Squares separated by exactly one square in the net

In a cross-shaped cube net, opposite faces are always separated by exactly one square.

A triangular piece has vertices labeled 1, 2, and 3. After being reflected (flipped) across a vertical axis, the order of vertices from left to right changes from 1-2-3 to:

Answer: 3-2-1 (reversed)

A reflection across a vertical axis reverses the left-right order of all points.

You have a rectangular piece measuring 3 inches by 5 inches. Which opening will it fit into?

Answer: 3 inches by 5 inches

A 3 by 5 inch piece fits exactly into a 3 by 5 inch opening.

Three puzzle pieces connect at labeled points. Piece A connects to Piece B at point 'x', and Piece B connects to Piece C at point 'y'. What can be concluded?

Answer: Piece A and Piece C are not directly connected

Piece A connects to B at 'x' and B connects to C at 'y', but A and C have no stated direct connection.

A shape folds perfectly in half along a dotted line so both halves overlap. The dotted line must represent what geometric feature?

Answer: A line of symmetry

For perfect overlap when folding, the fold line must be a line of symmetry where one half mirrors the other.

An L-shaped piece must be rotated to fit into an L-shaped opening oriented differently. If the opening's L faces right and up, but your piece faces left and up, what single rotation aligns them?

Answer: No single rotation works; reflection is needed

Going from left-up to right-up requires a reflection across a vertical axis. No rotation alone can change a left-facing L to a right-facing L without also flipping the vertical direction.