GAT Geometry and Spatial 2

Question 1

How many lines of symmetry does a regular hexagon have?

Accepted Answer

6

Answer

A regular hexagon has 6 lines of symmetry: 3 through opposite vertices and 3 through the midpoints of opposite sides. The number of symmetry lines equals the number of sides for regular polygons.

Question 2

A right triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?

Accepted Answer

10 cm

Answer

By the Pythagorean theorem: c² = a² + b² = 6² + 8² = 36 + 64 = 100. c = √100 = 10 cm. This is a 3-4-5 right triangle scaled by 2.

Question 3

What is the sum of interior angles of a pentagon?

Accepted Answer

540°

Answer

Sum of interior angles = (n-2) × 180° = (5-2) × 180° = 3 × 180° = 540°. This formula works for any polygon.

Question 4

If you fold a flat cross shape (6 squares arranged in a plus sign), what 3D shape do you get?

Accepted Answer

Cube

Answer

A cross-shaped net (one center square with four squares on each side plus one on the end) folds into a cube. Each square becomes one face of the cube. Spatial visualization is tested on the Qudurat.

Question 5

Two parallel lines are cut by a transversal. One alternate interior angle measures 55°. What does the other alternate interior angle measure?

Accepted Answer

55°

Answer

Alternate interior angles formed by a transversal cutting parallel lines are always equal. Therefore, the other alternate interior angle is also 55°.

Qudurat GAT Practice Test

Qudurat GAT Practice Test

GAT Geometry and Spatial 2