SIFT Simple Drawings and Figures 2 — Questions and Answers
Question 1: A figure shows a right triangle with the right angle at the bottom-left. Which rotation places the right angle at the top-right?
- 90° clockwise (Correct answer)
- 180°
- 90° counter-clockwise
- 270° clockwise
Correct answer: 90° clockwise
Rotating 90° clockwise moves the bottom-left corner to the top-right position.
Question 2: A square has one shaded quadrant in the upper-right. After a 180° rotation, which quadrant is shaded?
- Upper-left
- Lower-right
- Upper-right
- Lower-left (Correct answer)
Correct answer: Lower-left
A 180° rotation maps the upper-right quadrant directly to the lower-left quadrant.
Question 3: Which property is preserved when a 2-D figure is reflected across a vertical axis?
- Orientation (handedness)
- Shape and size (Correct answer)
- Position
- Color order left-to-right
Correct answer: Shape and size
Reflections are isometries—shape and size (congruence) are always preserved even though orientation flips.
Question 4: An arrow points to the upper-left (135°). After a 90° clockwise rotation, where does it point?
- Upper-right (45°) (Correct answer)
- Lower-left (225°)
- Lower-right (315°)
- Straight up (90°)
Correct answer: Upper-right (45°)
Rotating 135° clockwise by 90° gives 135° − 90° = 45°, which is upper-right.
Question 5: A pentagon is drawn on dot paper. Which transformation would produce an image congruent to the original?
- Dilation by factor 2
- Translation 3 units right (Correct answer)
- Stretch horizontally
- Shear transformation
Correct answer: Translation 3 units right
Translation shifts every point by the same amount, preserving shape and size (congruence).
Question 6: A figure has exactly two lines of symmetry. Which shape could it be?
- Scalene triangle
- Rectangle (non-square) (Correct answer)
- General parallelogram
- Right triangle
Correct answer: Rectangle (non-square)
A non-square rectangle has exactly two lines of symmetry: one horizontal and one vertical.
Question 7: On the SIFT Simple Drawings subtest, you must choose the answer figure that matches the target. What is the primary skill being tested?
- Mathematical calculation
- Spatial visualization and mental rotation (Correct answer)
- Verbal reasoning
- Memory recall
Correct answer: Spatial visualization and mental rotation
The subtest measures spatial visualization—the ability to mentally rotate or manipulate figures to identify matches.
SIFT Simple Drawings and Figures 2
A figure shows a right triangle with the right angle at the bottom-left.
Which rotation places the right angle at the top-right?