Question

1. perform a reflection across the x-axis for the ordered pair a(5, -7)

a) a(5, -7)
c) a(5, 7)
b) a(-5, -7)
d) a(-5, 7)

1. perform a reflection across the y-axis for the ordered pair a(5, -7)

a) a(5, -7)
c) a(5, 7)
b) a(-5, -7)
d) a(-5, 7)

Explanation:

Question 4

Step1: Recall reflection over x - axis rule

The rule for reflecting a point \((x,y)\) across the \(x\) - axis is \((x,-y)\).

Step2: Apply the rule to \(A(5,-7)\)

For the point \(A(5,-7)\), \(x = 5\) and \(y=-7\). Using the rule \((x,-y)\), we substitute \(y = - 7\) into \(-y\), so \(-y=-(-7) = 7\). The reflected point \(A'\) will be \((5,7)\).

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) across the \(y\) - axis is \((-x,y)\).

Step2: Apply the rule to \(A(5,-7)\)

For the point \(A(5,-7)\), \(x = 5\) and \(y = - 7\). Using the rule \((-x,y)\), we substitute \(x = 5\) into \(-x\), so \(-x=-5\). The reflected point \(A'\) will be \((-5,-7)\).

Answer:

c) \(A'(5,7)\)

Question 5