Spatial Reasoning Flashcards

A square piece of paper is folded in half diagonally to form a triangle, then folded in half again to form a smaller triangle. When unfolded, how many crease lines will appear on the paper?

Answer: 2

Each fold creates one crease line, so two folds produce exactly 2 crease lines when the paper is unfolded.

Looking at a cube from directly above, you see a square. If you then look at the same cube from directly in front, what shape do you see?

Answer: Square

A cube has equal-length edges on all sides, so any straight-on orthographic view reveals a perfect square.

A clock shows 3:00. If you view this clock in a mirror, what time does the reflection appear to show?

Answer: 9:00

A mirror reverses left and right, so the hand pointing to 3 on the right appears to point to 9 on the left in the reflection.

A rectangular block measures 4 units long, 3 units wide, and 2 units tall. How many unit cubes would be needed to build this block?

Answer: 24

The volume of the block is 4 × 3 × 2 = 24 unit cubes.

If you cut a cube exactly in half with a single straight horizontal cut, what shape is the cross-section?

Answer: Square

A horizontal cut through a cube parallel to its top and bottom faces produces a square cross-section because all sides of a cube are equal.

A shape has exactly 4 lines of symmetry. Which of the following shapes has exactly 4 lines of symmetry?

Answer: Square

A square has exactly 4 lines of symmetry: two through opposite corners and two through midpoints of opposite sides.

An arrow points North. After rotating 270° clockwise, which direction does the arrow point?

Answer: East

A 270° clockwise rotation is the same as a 90° counter-clockwise rotation, turning North to East.