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

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

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).