SIFT Simple Drawings and Figures 5

Question 1

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

Accepted Answer

The letter 'Z' (unchanged)

Answer

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:

Accepted Answer

The same as the original

Answer

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:

Accepted Answer

(5, 2)

Answer

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?

Accepted Answer

Position in the plane

Answer

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:

Accepted Answer

The same, because 60° is a symmetry of a regular hexagon

Answer

A regular hexagon has 6-fold rotational symmetry, so rotating it by 60° (360°÷6) produces an identical image.

SIFT Exam Practice Test

SIFT Exam Practice Test

SIFT Simple Drawings and Figures 5