Simple Drawings and Figures Flashcards

A figure shaped like the letter 'Z' is rotated 180°. The result most closely resembles:

Answer: The letter 'Z' (unchanged)

The letter 'Z' has 180° rotational symmetry, so a half-turn produces an identical-looking 'Z'.

A triangle is translated 5 units to the right and 3 units down. Its angles after the translation are:

Answer: The same as the original

Translation is a rigid motion; it preserves all angles, side lengths, and shape properties.

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:

Answer: (5, 2)

Reflecting across the main diagonal (y = x line) swaps x and y coordinates: (2, 5) → (5, 2).

Which of the following is NOT a property that rotations preserve?

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.

A regular hexagon is rotated about its center by 60°. The result looks:

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.

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?

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.

A simple drawing shows a crescent shape pointing right. After a vertical-axis reflection followed by a 180° rotation, the crescent points:

Answer: Right

Vertical reflection reverses it to point left; the subsequent 180° rotation reverses it again, returning it to pointing right.