Find the equation of the line of symmetry of the kite with vertices $(0, 0)$ , $(4, 0)$ , $(2, 3)$ and $(2, 6)$ .

medium 2 marks Class 7 · Mathematics · Symmetry

Answer

x = 2

The correct answer is $x = 2$ — Answer: $x = 2$ .

Step-by-step solution

The kite is symmetric about a vertical line passing through the midpoints of the two vertical edges.
Both points $(2, 3)$ and $(2, 6)$ lie on this vertical line, so the line of symmetry is $x = 2$ .
Thus the equation of the line of symmetry is $x = 2$ .
Answer: $x = 2$ .

Common mistake: Forgetting that the symmetry line must bisect the kite’s vertical edges

Concept tested: Axis of symmetry of a kite