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

A'= (1, 1)

B'=(2, -1)

C'=(3, 0)

D'=(2,1)



good luck

Answer 2

Answer:

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

Step-by-step explanation:

Given information: The vertices of polygon ABCD are A(1, 1), B(2, 3), C(3, 2), and D(2, 1).

If a figure reflected across the x-axis, then

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

The vertices of polygon after reflection are

$A(1,1)\rightarrow A_1(1,-1)$

$B(2,3)\rightarrow B_1(2,-3)$

$C(3,2)\rightarrow C_1(3,-2)$

$D(2,1)\rightarrow D_1(2,-1)$

If a figure translated 2 units up, then

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

The vertices of polygon after reflection and translation are

$A_1(1,-1)\rightarrow A'(1,1)$

$B_1(2,-3)\rightarrow B'(2,-1)$

$C_1(3,-2)\rightarrow C'(3,0)$

$D_1(2,-1)\rightarrow D'(2,1)$

ABCD is reflected across the x-axis and translated 2 units up to form polygon A′B′C′D′.

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