TSIA2 Geometric and Spatial Reasoning 3

Question 1

A cone has a radius of 3 and a height of 8. What is its volume? (Use π ≈ 3.14)

Accepted Answer

75.36

Answer

Volume of a cone = ⅓πr²h = ⅓ × 3.14 × 9 × 8 = 75.36.

Question 2

Triangle ABC is similar to triangle DEF. If AB = 6, DE = 9, and BC = 8, what is EF?

Accepted Answer

12

Answer

The scale factor is DE/AB = 9/6 = 1.5, so EF = BC × 1.5 = 8 × 1.5 = 12.

Question 3

What is the sum of the interior angles of a pentagon?

Accepted Answer

540°

Answer

The sum of interior angles of an n-sided polygon = (n − 2) × 180° = (5 − 2) × 180° = 540°.

Question 4

Which transformation slides a figure to a new position without rotating or reflecting it?

Accepted Answer

Translation

Answer

A translation moves every point of a figure the same distance in the same direction.

Question 5

What is the volume of a cylinder with radius 5 and height 10? (Use π ≈ 3.14)

Accepted Answer

785

Answer

Volume of a cylinder = πr²h = 3.14 × 25 × 10 = 785.

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test