West B Test Math: Geometry and Measurement 5

Question 1

A right circular cone has a radius of 5 cm and a slant height of 13 cm. What is its lateral surface area? (Use π ≈ 3.14)

Accepted Answer

204.1 cm²

Answer

Lateral surface area = πrl = 3.14 × 5 × 13 = 204.1 cm².

Question 2

What is the midpoint of the segment connecting (−3, 4) and (7, −2)?

Accepted Answer

(2, 1)

Answer

Midpoint = ((−3+7)/2, (4+(−2))/2) = (4/2, 2/2) = (2, 1).

Question 3

A square has a diagonal of 10 cm. What is the area of the square?

Accepted Answer

50 cm²

Answer

For a square with diagonal d, area = d²/2 = 10²/2 = 100/2 = 50 cm².

Question 4

Which of the following pairs of triangles CANNOT be proven congruent using the SAS (Side-Angle-Side) postulate?

Accepted Answer

Two sides and a non-included angle are equal

Answer

SAS requires the angle to be between (included by) the two sides; two sides and a non-included angle describes SSA, which does not guarantee congruence.

Question 5

A sphere has a radius of 6 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

904.32 cm³

Answer

Volume = (4/3)πr³ = (4/3) × 3.14 × 216 = 4.19 × 216 ≈ 904.32 cm³.

West B Test Practice Test

West B Test Practice Test

West B Test Math: Geometry and Measurement 5