Question

Given below are five images P, Q, R, S and T. Each of these is rotated about its center. Which of the following statement(s) is/are TRUE? (Ignore minor variations due to pixelated appearance)

• A. Patterns Q, S and T will look the same when rotated by 60°
• B. Patterns Q, R and T will look the same when rotated by 120°
• C. Patterns P, S and T will not look the same when rotated by 60°
• D. Patterns Q, R and T will look the same when rotated by 60° or 120°

Hint:

When evaluating rotational symmetry, check how many degrees a shape can be rotated before it repeats. Common angles for symmetry are 60°, 90°, 120°, and 180°.

Answer 1

The Correct Option is B, C

Step 1: Analyzing the images and rotations.
- Image P is a symmetric shape, so it may look the same when rotated by specific angles. - Images Q, R, S, and T have distinct patterns that need to be evaluated for symmetry under rotation by different angles.
Step 2: Analyzing the options.
(A) Patterns Q, S and T will look the same when rotated by 60°: This is incorrect because none of the images maintain symmetry when rotated by 60°.
(B) Patterns Q, R and T will look the same when rotated by 120°: This is correct as the shapes Q, R, and T have symmetrical properties that make them look the same when rotated by 120°.
(C) Patterns P, S and T will not look the same when rotated by 60°: This is correct because the patterns P, S, and T do not maintain symmetry when rotated by 60°.
(D) Patterns Q, R and T will look the same when rotated by 60° or 120°: This is incorrect because not all of the patterns maintain symmetry when rotated by 60° or 120°.
Step 3: Conclusion.
The correct answers are (B) and (C), based on the symmetry of the patterns and their behavior under rotation.