The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0). ABCD is reflected over the x-axis to create parallelogram QRST. What are the coordinates of QRST?


Q(−2,1),R(−3,4),S(−5,3),T(−4,0)

B
Q(−2,−1),R(−3,−4),S(−5,−3),T(−4,0)

C
Q(1,2),R(4,3),S(3,5),T(0,4)

D
Q(2,−1),R(3,−4),S(5,−3),T(4,0)

Respuesta :

Answer:

A(2 , 1) -> Q(2 , -1)

B(3 , 4) -> R(3 , -4)

C(5 , 3) -> S(5 , -3)

D(4 , 0) -> T(4 , 0)

Step-by-step explanation:

i took the test

The coordinates of QRST are Q(2,-1), R(3.-4), S(5,-3), and T(4,0) and this can be determined by using the rules of transformation.

Given :

  • The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0).
  • ABCD is reflected over the x-axis to create a parallelogram QRST.

The following steps can be used in order to determine the coordinates of QRST:

Step 1 - According to the given data, the vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0).

Step 2 - Now, if a point let A(x,y) is a reflection over the x-axis so the point A becomes A'(x,-y).

Step 3 - So, from the above steps, it can be concluded that the coordinates of QRST are Q(2,-1), R(3.-4), S(5,-3), and T(4,0).

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/24006293