If |(x1, y1, 1),(x2, y2, 1),(x3, y3, 1)| = |(a1, b1, 1),(a2, b2, 1),(a3, b3, 1)| then the two triangles with vertices

Question

True/False

If |(x₁, y₁, 1),(x₂, y₂, 1),(x₃, y₃, 1)| = |(a₁, b₁, 1),(a₂, b₂, 1),(a₃, b₃, 1)| then the two triangles with vertices (x₁, y₁₎, (x₂, y₂), (x₃, y₃) and (a₁, b₁), (a₂, b₂), (a₃, b₃) must be congruent.

Answer 1

False

Explanation:

Since,

represents Δ's are equal, which does not implies Δ's are congruent.

Hence, given statement is false.