Question

The vertices of polygon ABCD are at A(1, 1), B(2, 3), C(3, 2), and D(2, 1). ABCD is reflected across the x-axis and translated 2 units up to form polygon A′B′C′D′. Match each vertex of polygon A′B′C′D′ to its coordinates.

Answer 1

Answer:

The coordinates of image are A'(1,1), B'(2,-1), C'(3,0) and D'(2,1).

Step-by-step explanation:

It is given that the vertices of polygon ABCD are at A(1, 1), B(2, 3), C(3, 2), and D(2, 1).

If a figure is reflected across the x-axis, then according to the rule of reflection

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

After that the figure it translated 2 units up to form polygon A′B′C′D′. According to the rule of translation

$(x,y)\rightarrow (x,-y+2)$

The coordinates of image are

$A(1,1)\rightarrow A'(1,-1+2)=A'(1,1)$

$B(2,3)\rightarrow B'(2,-3+2)=B'(2,-1)$

$C(3,2)\rightarrow C'(3,-2+2)=C'(3,0)$

$D(2,1)\rightarrow D'(2,-1+2)=D'(2,1)$

Therefore the coordinates of image are A'(1,1), B'(2,-1), C'(3,0) and D'(2,1).

Answer 2

A.(1,1)                                                                                                                     B.(2,-1)                                                                                                                   C.(3,0)
D.(2,1)