Question

Which of the following represents a rotation of △BAT, which has vertices B(−3,−6), A(−2,11), and T(10,−4), about the origin by 90°?


Answers:
B (3, −6)
A (2, 11)
T (−10, −4)


B (6, −3)
A (−11, −2)
T (4, 10)
B (3, 6)
A (2, −11)
T (−10, 4)
B (6, 3)
A (−11, 2)
T (4, −10)

Answer 1

Recall the rule of 90 degree rotation(clockwise) about the origin,

$(x,y)\rightarrow (y,-x)$

Here, the vertices of the triangle BAT are,

B(−3,−6), A(−2,11), and T(10,−4)

Thus, after 90 degree rotation (clockwise) about origin,

$(-3,-6)\rightarrow (-6,3)$

$(-2,11)\rightarrow (11,2)$

$(10,-4)\rightarrow (-4,-10)$

Therefore, in this case, the required vertices are,

B(-6,3), A(11, 2) and  T(-4,-10)

Also,

Recall the rule of 90 degree rotation(counter clockwise) about the origin,

$(x,y)\rightarrow (-y,x)$

Thus, after 90 degree rotation(counter clockwise) about origin,

$(-3,-6)\rightarrow (6,-3)$

$(-2,11)\rightarrow (-11,-2)$

$(10,-4)\rightarrow (4,10)$

Therefore, in this case, the required vertices are,

B(6,-3), A(-11,-2) and  T(4,10)

Hence, from the give options, the correct answer is B(6,-3), A(-11,-2) and  T(4,10).