SIFT Simple Drawings and Figures 3 — Questions and Answers
Question 1: A capital letter 'R' is reflected across a vertical axis. What does the result look like?
- A mirror-image 'R' facing left (Correct answer)
- An upside-down 'R'
- The letter 'R' unchanged
- The letter 'P'
Correct answer: A mirror-image 'R' facing left
Reflecting 'R' across a vertical axis flips it horizontally, creating a backward (mirror-image) 'R'.
Question 2: A figure composed of two overlapping circles is rotated 360°. The result is:
- Identical to the original (Correct answer)
- Shifted to the right
- Reduced in size
- Reflected
Correct answer: Identical to the original
A full 360° rotation returns any figure to its exact original position and appearance.
Question 3: Which pair of figures demonstrates a rotation rather than a reflection?
- A 'b' and a 'd'
- A 'p' and a 'b' (Correct answer)
- A 'q' and a 'b'
- A 'd' and a 'p'
Correct answer: A 'p' and a 'b'
'p' rotated 180° becomes 'b', making it a rotation; the others involve reflections across an axis.
Question 4: A triangle has vertices at (1,1), (4,1), and (1,4). After reflecting across the line y = x, where is the vertex originally at (4,1)?
- (1,4) (Correct answer)
- (4,1)
- (−4,1)
- (1,−4)
Correct answer: (1,4)
Reflecting across y = x swaps the x and y coordinates, so (4,1) becomes (1,4).
Question 5: A clock face (with no numbers) is rotated 90° counter-clockwise. Where does the 12 o'clock position now point?
- 3 o'clock direction
- 9 o'clock direction (Correct answer)
- 6 o'clock direction
- 12 o'clock direction
Correct answer: 9 o'clock direction
Rotating the top (12) counter-clockwise 90° moves it to where 9 o'clock was, which is now pointing left.
Question 6: Which figure has rotational symmetry of order 4?
- Equilateral triangle
- Square (Correct answer)
- Regular pentagon
- Scalene triangle
Correct answer: Square
A square looks identical after rotations of 90°, 180°, 270°, and 360°—giving it order-4 rotational symmetry.
Question 7: In a simple drawings test item, the target figure is an L-shape. Four answer choices show the same L-shape at different orientations. How do you identify the correct match?
- Choose the largest answer figure
- Mentally rotate the target to match each answer choice (Correct answer)
- Select the answer that is a mirror image
- Pick the one closest to vertical
Correct answer: Mentally rotate the target to match each answer choice
You mentally rotate the target figure and compare it to each answer choice to find the identical orientation.
A capital letter 'R' is reflected across a vertical axis.
What does the result look like?