Geometry Review and Reinforcement

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Date:

📐 Part 1: Area, Perimeter and Volume

1. A rectangular garden has a length of 8 metres and width of 5 metres. What is its perimeter?

13 metres

26 metres

40 metres

80 metres

2. Calculate the area of a triangle with base 12 cm and height 8 cm. Show your working.

3. A cylindrical water tank has a radius of 3 metres and height of 5 metres. Which formula would you use to find its volume?

V = πr²

V = πr²h

V = 2πrh

V = πdh

4. A composite shape is made from a rectangle (6m × 4m) with a semicircle attached to one of the shorter sides (radius 2m). Calculate the total area.

📏 Part 2: Angles and Transformations

5. In a triangle, two angles measure 65° and 48°. What is the third angle?

Third angle = _________°

6. When two parallel lines are cut by a transversal, which angle relationships are created? (Select all that apply)

Corresponding angles are equal

Alternate angles are equal

Co-interior angles are supplementary

Vertically opposite angles are equal

7. A shape is enlarged by a scale factor of 3. If the original area was 12 cm², what is the new area?

36 cm²

108 cm²

15 cm²

144 cm²

8. Describe what happens to a shape when it undergoes a reflection across the y-axis.

🧠 Part 3: Problem Solving and Application

9. Extension Challenge: A rectangular prism has dimensions 4cm × 6cm × 8cm. If each dimension is doubled, by what factor does the volume increase? Explain your reasoning.

10. Real-world Application: You are designing a circular flower bed with a diameter of 6 metres. Calculate both the area of soil needed and the length of edging required around the perimeter. (Use π = 3.14)

11. Self-Reflection: Which geometry concept from this unit do you feel most confident about, and which area needs more practice?