Point MM is located at left bracket, minus, 5, comma, 1, right bracket(−5,1) on the coordinate plane. Point MM is reflected over the yy-axis to create point M, primeM
′
. Point M, primeM
′
is then reflected over the xx-axis to create point M, start superscript, prime, prime, end superscriptM
′′
. What ordered pair describes the location of M, start superscript, prime, prime, end superscript, question markM
′′
?
When a point is reflected over the y-axis, the x-coordinate changes sign. Therefore, the x-coordinate of M′ is positive 5.
When a point is reflected over the x-axis, the y-coordinate changes sign. Therefore, the y-coordinate of M′′ is negative 1.
The ordered pair that describes the location of M′′ is (5, -1).