Question

$\begin{bmatrix} x_{1} & y_{1} & 1 \\ x_{2} & y_{2} & 1 \\ x_{3} & y_{3} & 1 \end{bmatrix}$ = $\begin{bmatrix} a_{1} & b_{1} & 1 \\ a_{2} & b_{2} & 1 \\ a_{3} & b_{3} & 1 \end{bmatrix}$, then the two triangles with vertices (x₁, y₁), (x₂, y₂), (x₃, y₃) and (a₁, b₁), (a₂,b₂), (a₃,b₃) are-

• A. Equal in area
• B. Similar
• C. Congruent
• D. None

Answer 1

Answer: (A)

Equal in area

Answer 2

$\frac { 1 } { 2 }$ $\begin{matrix} x_{1} & y_{1} & 1 \\ x_{2} & y_{2} & 1 \\ x_{3} & y_{3} & 1 \end{matrix}$= $\frac { 1 } { 2 }$ $\begin{matrix} a_{1} & b_{1} & 1 \\ a_{2} & b_{2} & 1 \\ a_{3} & b_{3} & 1 \end{matrix}$

Equal in Area