Question

Which rule describes the composition of transformations that maps pre- image ABCD to final image A“B“C“D“?

Answer 1

Answer:

1. Reflection across the x-axis

2. Translation 6 units to the left and 1 unit up

Step-by-step explanation:

The quadrilateral ABCD has its vertices at points A(3,5), B(6,5), C(4,1) and D(1,1).

1. Reflect quadrilateral ABCD across the x-axis. This reflection has the rule:

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

then

$A(3,5)\rightarrow A'(3,-5)\\ \\B(6,5)\rightarrow B'(63,-5)\\ \\C(4,1)\rightarrow C'(4,-1)\\ \\D(1,1)\rightarrow D'(1,-1)$

2. Translate quadrilateral ABCD 6 units to the left and 1 unit up. This translation has the rule:

$(x,y)\rightarrow (x-6,y+1),$

then

$A'(3,-5)\rightarrow A''(-3,-4)\\ \\B'(6,-5)\rightarrow B''(0,-4)\\ \\C'(4,-1)\rightarrow C''(-2,0)\\ \\D'(1,-1)\rightarrow D''(-5,0)$

Answer 2

Answer:

Translation of negative 6 units x, 1 unit y composition reflection across the x-axis.

Step-by-step explanation: