Question

bonus: triangle abc lies on the coordinate plane with vertices located at a(8, 6), b(2, -5), and c( -5, 1). the triangle is transformed using the rule (x,y)→(x + 3, 2y) to create a triangle abc. determine the coordinates of triangle abc. a( ) b( ) c( )

Explanation:

Step1: Transform A(8,6)

$x' = 8 + 3 = 11$, $y' = 2 \times 6 = 12$

Step2: Transform B(2,-5)

$x' = 2 + 3 = 5$, $y' = 2 \times (-5) = -10$

Step3: Transform C(-5,1)

$x' = -5 + 3 = -2$, $y' = 2 \times 1 = 2$

Answer:

A'(11, 12)
B'(5, -10)
C'(-2, 2)