TSIA2 Geometric and Spatial Reasoning 2

Question 1

What is the slope of a line that passes through the points (2, 3) and (6, 11)?

Accepted Answer

2

Answer

Slope = (y₂ − y₁) / (x₂ − x₁) = (11 − 3) / (6 − 2) = 8 / 4 = 2.

Question 2

A square has a perimeter of 36 cm. What is its area?

Accepted Answer

81 cm²

Answer

Each side = 36 ÷ 4 = 9 cm, so area = 9² = 81 cm².

Question 3

What is the surface area of a cube with a side length of 4?

Accepted Answer

96

Answer

A cube has 6 faces, each with area 4² = 16, so surface area = 6 × 16 = 96.

Question 4

Lines that lie in the same plane and never intersect are called:

Accepted Answer

Parallel lines

Answer

Parallel lines are coplanar lines that never meet, maintaining a constant distance apart.

Question 5

If an angle measures 42°, what is the measure of its complementary angle?

Accepted Answer

48°

Answer

Complementary angles sum to 90°, so the complement = 90° − 42° = 48°.

(TSIA2) Texas Success Initiative Assessment 2.0 Practice Test