Future Aptitude Selection Tool Spatial Reasoning Flashcards

A square piece of paper is folded in half diagonally, then the right corner of the folded triangle is folded to meet the top corner. What shape is the result?

Answer: Smaller triangle

Folding a triangle's corner to another corner always produces a smaller triangle.

An arrow pointing north is rotated 135° counterclockwise. In which direction does it now point?

Answer: Southeast

North rotated 135° counterclockwise passes through west (90°) and reaches southeast (180°+45° past north in reverse = SE).

Which of the following transformations changes the size of a geometric figure?

Answer: Dilation

Dilation scales a figure, changing its size, while rotation, reflection, and translation preserve size.

A rectangular room measures 10 ft × 12 ft. A scale drawing uses 1 inch = 4 ft. What are the dimensions of the room in the drawing?

Answer: 2.5 in × 3 in

10 ÷ 4 = 2.5 inches and 12 ÷ 4 = 3 inches, giving 2.5 × 3 in.

Looking at a cube from the corner so that three faces are visible, how many faces are hidden from view?

Answer: 3

A cube has 6 faces; viewing from a corner exposes 3 faces, so 3 are hidden.

A piece is moved 4 units right and 3 units down on a grid. Which transformation describes this movement?

Answer: Translation

Moving a figure a fixed distance in a fixed direction without turning or flipping is a translation.

Which cross-section is produced when a cone is cut parallel to its base?

Answer: Circle

A cut parallel to the base of a cone produces a circular cross-section.