SIFT Simple Drawings and Figures 5 — Questions and Answers
Question 1: A figure shaped like the letter 'Z' is rotated 180°. The result most closely resembles:
- The letter 'S'
- The letter 'Z' (unchanged) (Correct answer)
- A mirror 'Z' (reflected)
- The letter 'N'
Correct answer: The letter 'Z' (unchanged)
The letter 'Z' has 180° rotational symmetry, so a half-turn produces an identical-looking 'Z'.
Question 2: A triangle is translated 5 units to the right and 3 units down. Its angles after the translation are:
- Larger, because the figure moved farther
- Smaller, because it moved downward
- The same as the original (Correct answer)
- Different, because position changed
Correct answer: The same as the original
Translation is a rigid motion; it preserves all angles, side lengths, and shape properties.
Question 3: On a dot-grid, a figure has a line of symmetry running diagonally from top-left to bottom-right. If a point is at position (2, 5) relative to the axis, its mirror image is at:
- (−2, 5)
- (2, −5)
- (5, 2) (Correct answer)
- (−5, −2)
Correct answer: (5, 2)
Reflecting across the main diagonal (y = x line) swaps x and y coordinates: (2, 5) → (5, 2).
Question 4: Which of the following is NOT a property that rotations preserve?
- Angle measures
- Side lengths
- Position in the plane (Correct answer)
- Shape
Correct answer: Position in the plane
Rotation is a rigid motion preserving shape, size, and angles, but it changes where the figure sits in the plane.
Question 5: A regular hexagon is rotated about its center by 60°. The result looks:
- Different, because it moved
- The same, because 60° is a symmetry of a regular hexagon (Correct answer)
- Larger
- Reflected
Correct answer: The same, because 60° is a symmetry of a regular hexagon
A regular hexagon has 6-fold rotational symmetry, so rotating it by 60° (360°÷6) produces an identical image.
Question 6: In a SIFT spatial-reasoning item, the target is a simple asymmetric figure. The four choices are the target at 0°, 90°, 180°, and 270°—plus a mirror image mixed in. How many answer choices are valid rotations of the target?
- 1
- 2
- 3
- 4 (Correct answer)
Correct answer: 4
An asymmetric figure has 4 distinct rotational positions (0°, 90°, 180°, 270°), all of which are valid rotations but only one will match the presented orientation.
Question 7: A simple drawing shows a crescent shape pointing right. After a vertical-axis reflection followed by a 180° rotation, the crescent points:
- Left
- Right (Correct answer)
- Up
- Down
Correct answer: Right
Vertical reflection reverses it to point left; the subsequent 180° rotation reverses it again, returning it to pointing right.
SIFT Simple Drawings and Figures 5
A figure shaped like the letter 'Z' is rotated 180°.
The result most closely resembles: