Question

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?
A
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)

Answer 1

So, coordinates of QRST will be:

Q(2,−1),R(3,−4),S(5,−3),T(4,0)

Option D is correct.

Step-by-step explanation:

The vertices of given 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

We need to find coordinates of QRST.

When the graph is reflected across x-axis, the x-coordinate remains the same, while y-coordinate becomes opposite i.e the sign is changed of the given coordinate.

So, coordinates of QRST will be:

Q(2,−1),R(3,−4),S(5,−3),T(4,0)

All the y-coordinates have been converted to their opposite signs

So, Option D is correct.

Keywords: Reflection across x-axis

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