NJSLA Geometric Principles and Measurement 3

Question 1

On a coordinate plane, point A is at (2, 3) and point B is at (8, 11). What is the length of segment AB?

Accepted Answer

10

Answer

Distance = √((8−2)² + (11−3)²) = √(36 + 64) = √100 = 10.

Question 2

A regular hexagon has a side length of 6 cm. How many lines of symmetry does it have?

Accepted Answer

6

Answer

A regular hexagon has 6 lines of symmetry — three through opposite vertices and three through midpoints of opposite sides.

Question 3

What is the surface area of a cube with edge length 5 cm?

Accepted Answer

150 cm²

Answer

A cube has 6 faces, each with area 5² = 25 cm², so total surface area = 6 × 25 = 150 cm².

Question 4

Triangle ABC is similar to triangle DEF. If AB = 6, BC = 9, and DE = 10, what is EF?

Accepted Answer

15

Answer

The scale factor is DE/AB = 10/6 = 5/3, so EF = BC × (5/3) = 9 × 5/3 = 15.

Question 5

A circle has a circumference of 31.4 cm. What is its area? (Use π ≈ 3.14)

Accepted Answer

78.5 cm²

Answer

C = 2πr → r = 31.4/(2 × 3.14) = 5 cm; Area = πr² = 3.14 × 25 = 78.5 cm².

NJSLA Exam Practice Test