NNAT Reasoning by Analogy 3 — Questions and Answers
Question 1: An arrow pointing up corresponds to an arrow pointing right (a 90° clockwise rotation). Applying the same rule, an arrow pointing left corresponds to what?
- An arrow pointing up (Correct answer)
- An arrow pointing down
- An arrow pointing right
- An arrow pointing left
Correct answer: An arrow pointing up
Rotating a left-pointing arrow 90° clockwise results in an upward-pointing arrow.
Question 2: In an analogy involving a 180° rotation, a shape pointing toward the upper-left would point toward which direction after the transformation?
- Upper-right
- Lower-left
- Lower-right (Correct answer)
- Upper-left
Correct answer: Lower-right
A 180° rotation moves a shape to the completely opposite direction, so upper-left becomes lower-right.
Question 3: A shape is reflected across a vertical axis. What happens to its left and right sides?
- Both sides shift downward
- The left and right sides swap positions (Correct answer)
- The shape stays the same
- The shape rotates 90°
Correct answer: The left and right sides swap positions
A vertical axis reflection swaps left and right, creating a mirror image.
Question 4: A shape pointing up-right appears in the first box, and a shape pointing down-left appears in the second box. What transformation occurred?
- 45° clockwise rotation
- 90° counterclockwise rotation
- 180° rotation (Correct answer)
- Reflection across a vertical axis
Correct answer: 180° rotation
A 180° rotation reverses both the vertical and horizontal direction of the shape.
Question 5: A Reasoning by Analogy item shows a reflection across a horizontal axis. Which attribute of the shape is affected?
- The top and bottom positions swap (Correct answer)
- The left and right positions swap
- The number of sides changes
- The size of the shape changes
Correct answer: The top and bottom positions swap
A horizontal axis reflection flips a shape so the top becomes the bottom, like a reflection in water.
Question 6: An L-shaped figure pointing right-and-down in the first box points left-and-down in the second box. What transformation was applied?
- 90° clockwise rotation
- 180° rotation
- Reflection across a vertical axis (Correct answer)
- Reflection across a horizontal axis
Correct answer: Reflection across a vertical axis
Only the horizontal direction changed (right to left) while down stayed down, indicating a vertical axis reflection.
Question 7: The transformation rule in an analogy is 'rotate 90° counterclockwise.' A downward-pointing arrow would become what?
- An upward-pointing arrow
- A left-pointing arrow
- A right-pointing arrow (Correct answer)
- A diagonal arrow
Correct answer: A right-pointing arrow
Rotating a downward arrow 90° counterclockwise sweeps it to point right.
An arrow pointing up corresponds to an arrow pointing right (a 90° clockwise rotation).
Applying the same rule, an arrow pointing left corresponds to what?