📐 Part 1: Core Concepts Review

1. Which formula correctly calculates the area of a circle with radius 5 cm?

A = 2πr = 2π(5) = 10π cm²

A = πr² = π(5)² = 25π cm²

A = πd = π(10) = 10π cm²

A = r² = 5² = 25 cm²

2. A rectangular prism has dimensions 6 cm × 4 cm × 3 cm. What is its volume?

13 cm³

72 cm³

108 cm³

144 cm³

3. Two parallel lines are cut by a transversal. If one angle measures 65°, what could be the measure of a corresponding angle?

25°

65°

115°

130°

4. Which transformations preserve both shape and size? (Select all that apply)

Translation

Reflection

Rotation

Enlargement with scale factor 3

🧮 Part 2: Problem Solving

5. A composite shape consists of a rectangle (8 cm × 5 cm) with a semicircle attached to one of the shorter sides. Calculate the total area. Show your working.

Total area = _____________ cm²

6. A triangle has angles measuring 2x°, 3x°, and (x + 30)°. Find the value of x and all three angle measures.

x = _______°

The three angles are: _______°, _______°, and _______°

7. A cylinder has a radius of 4 cm and height of 10 cm. Calculate both the surface area and volume. Use π ≈ 3.14.

Surface area = _____________ cm²

Volume = _____________ cm³

🎯 Part 3: Application and Reflection

8. A shape is enlarged by a scale factor of 2. If the original area was 12 cm², what will be the new area? Explain your reasoning.

New area = _____________ cm²

9. Design Challenge: You need to create a rectangular garden bed with an area of 24 m² and the length must be twice the width. What are the dimensions?

Width = _______ m, Length = _______ m

10. Self-Reflection: Which geometry concept from this worksheet do you feel most confident about? Which one needs more practice?