🎯 WALT & Success Criteria

We Are Learning To:

Apply critical thinking skills to solve complex geometry problems

Justify geometric reasoning clearly using appropriate terminology

Evaluate and critique different solution strategies

1. Which of these represents the best first step when solving a complex geometry problem?

Start calculating immediately

Identify what is known and unknown

Guess the answer

Draw a new diagram

2. In a triangle, if two angles measure 65° and 48°, what is the third angle?

67°

113°

77°

57°

3. Which geometric rules could help solve problems involving parallel lines? (Select all that apply)

Corresponding angles are equal

Alternate angles are equal

Co-interior angles sum to 180°

All angles are 90°

🔍 Problem Analysis & Justification

4. A rectangle has a perimeter of 24 metres and a width of 4 metres. Find the length and justify your method.

Known information: Perimeter = _______ metres, Width = _______ metres

Unknown: _________________________________

Justification: I used the formula _________________ because _________________________________

5. In the diagram below, explain why angle x must equal 110°. Use geometric reasoning in your answer.

Note: Draw two parallel lines cut by a transversal, with one angle marked as 70° and another as x°

6. A student claims that all rectangles are squares. Evaluate this statement and explain whether it is correct.

🚀 Extension Challenge

7. For Advanced Learners: A regular hexagon has a perimeter of 30 centimetres. If you connect the centre to each vertex, how many triangles are formed? What type of triangles are they? Justify your reasoning.

8. Problem Design: Create your own geometry problem that requires at least two different geometric rules to solve. Include the solution and justification.

Your Problem:

Your Solution & Justification:

9. Reflection: What strategy helped you most when solving today's problems? How can you apply this to future geometry challenges?