Abstract Reasoning Spatial Reasoning 2 — Questions and Answers
Question 1: Two identical right-angled triangles are placed together along their longest side (hypotenuse). What shape do they form?
- Square
- Rectangle (Correct answer)
- Parallelogram
- Rhombus
Correct answer: Rectangle
Two right-angled triangles joined along the hypotenuse form a rectangle.
Question 2: A figure is rotated 180°. The result looks the same as the original. This figure has ___.
- Reflective symmetry only
- Rotational symmetry of order 2 (Correct answer)
- No symmetry
- Rotational symmetry of order 4
Correct answer: Rotational symmetry of order 2
A figure that looks identical after a 180° rotation has rotational symmetry of order 2.
Question 3: A paper is folded in half twice, then a circular hole is punched through the center. How many holes appear when the paper is unfolded?
- 1
- 2
- 4 (Correct answer)
- 8
Correct answer: 4
Each fold doubles the number of layers; two folds create 4 layers, so one punch creates 4 holes.
Question 4: A square is rotated 45°. What does it now resemble?
- A diamond (rhombus) (Correct answer)
- A rectangle
- A trapezoid
- A hexagon
Correct answer: A diamond (rhombus)
A square rotated 45° appears as a diamond shape (a rhombus balanced on one corner).
Question 5: Looking at a 3D cube from a corner, how many faces are visible at once?
- 1
- 2
- 3 (Correct answer)
- 4
Correct answer: 3
From a corner perspective, exactly 3 faces of a cube are visible simultaneously.
Question 6: A shape has 4 lines of symmetry. Which shape is it most likely to be?
- Rectangle
- Square (Correct answer)
- Equilateral triangle
- Regular pentagon
Correct answer: Square
A square has 4 lines of symmetry: two through opposite sides and two through opposite corners.
Abstract Reasoning Spatial Reasoning 2
Two identical right-angled triangles are placed together along their longest side (hypotenuse).
What shape do they form?