If the vertices of triangle QRS have coordinates Q (1, - 2), R (3, - 2), and S (2, - 4), which coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis?

A. Qꞌ (-1, - 2), Rꞌ (-3, - 2), Sꞌ (-2, - 4)

B. Qꞌ (1, 2), Rꞌ (3, 2), Sꞌ (2, 4)

C. Qꞌ (2, 1), Rꞌ (2, 3), Sꞌ (4, 2)

D. Qꞌ (2, - 4), Rꞌ (6, - 4), Sꞌ (4, - 8)

Question

Ramiro Shelton

Mathematics

25 July, 17:14

If the vertices of triangle QRS have coordinates Q (1, - 2), R (3, - 2), and S (2, - 4), which coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis?

A. Qꞌ (-1, - 2), Rꞌ (-3, - 2), Sꞌ (-2, - 4)

B. Qꞌ (1, 2), Rꞌ (3, 2), Sꞌ (2, 4)

C. Qꞌ (2, 1), Rꞌ (2, 3), Sꞌ (4, 2)

D. Qꞌ (2, - 4), Rꞌ (6, - 4), Sꞌ (4, - 8)

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Answers (1)

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Giant · Answer 1

B

The value of x does not change in reflection across the x axis while the sign of the value of y is reversed because it travels a distance equal to its distance from the x-axis in the negative y-axis.