SIFT Simple Drawings and Figures 2

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?

Accepted Answer

90° clockwise

Answer

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?

Accepted Answer

Lower-left

Answer

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?

Accepted Answer

Shape and size

Answer

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?

Accepted Answer

Upper-right (45°)

Answer

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?

Accepted Answer

Translation 3 units right

Answer

Translation shifts every point by the same amount, preserving shape and size (congruence).

SIFT Exam Practice Test