Subjects geometry

Reflective Symmetry 5370E5

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Question: 1.15. Summative Assessment 15 - Assignment a) How many lines of reflective symmetry does the following shape have?
1. **Problem Statement:** Determine the number of lines of reflective symmetry for a shape formed by overlapping two congruent diamonds (a 4-point star). 2. **Understanding the Shape:** The shape is a 4-point star created by overlapping two congruent diamonds. Each diamond has 2 lines of symmetry (vertical and horizontal). 3. **Lines of Symmetry in the 4-Point Star:** When two diamonds overlap to form a 4-point star, the resulting figure has lines of symmetry along: - The vertical axis - The horizontal axis - The two diagonals 4. **Counting the Lines:** Therefore, the 4-point star has 4 lines of reflective symmetry. 5. **Summary:** The shape has $$4$$ lines of reflective symmetry.