Question

practice
reflect the figure over the y axis to create quadrilateral
chmw. write the rule below and the coordinates next to
each point (x,y)→(-x,y)

1. quadrilateral chmw is shown on the coordinate grid.

reflect the figure over the x axis to create quadrilateral
chmw. write the rule below and the coordinates next to
each point (x,y)→(x,-y)

1. quadrilateral chmw is shown on the coordinate grid.

Explanation:

Reflect over the y - axis (Rule: \((x,y)\to(-x,y)\))

Step1: Find coordinates of \(C\)

Assume \(C=(1,1)\). Using the rule \((x,y)\to(-x,y)\), for \(C=(1,1)\), \(C'=(- 1,1)\)

Step2: Find coordinates of \(H\)

Assume \(H=(4,2)\). Using the rule \((x,y)\to(-x,y)\), for \(H=(4,2)\), \(H'=(-4,2)\)

Step3: Find coordinates of \(M\)

Assume \(M=(8,-1)\). Using the rule \((x,y)\to(-x,y)\), for \(M=(8,-1)\), \(M'=(-8,-1)\)

Step4: Find coordinates of \(W\)

Assume \(W=(0,0)\). Using the rule \((x,y)\to(-x,y)\), for \(W=(0,0)\), \(W'=(0,0)\)

Reflect over the x - axis (Rule: \((x,y)\to(x, - y)\))

Step1: Find coordinates of \(C\)

Assume \(C=(1,1)\). Using the rule \((x,y)\to(x,-y)\), for \(C=(1,1)\), \(C'=(1,-1)\)

Step2: Find coordinates of \(H\)

Assume \(H=(4,2)\). Using the rule \((x,y)\to(x,-y)\), for \(H=(4,2)\), \(H'=(4,-2)\)

Step3: Find coordinates of \(M\)

Assume \(M=(8,-1)\). Using the rule \((x,y)\to(x,-y)\), for \(M=(8,-1)\), \(M'=(8,1)\)

Step4: Find coordinates of \(W\)

Assume \(W=(0,0)\). Using the rule \((x,y)\to(x,-y)\), for \(W=(0,0)\), \(W'=(0,0)\)

Answer:

• For reflection over the \(y\) - axis: \(C'(-1,1)\), \(H'(-4,2)\), \(M'(-8,-1)\), \(W'(0,0)\)
• For reflection over the \(x\) - axis: \(C'(1,-1)\), \(H'(4,-2)\), \(M'(8,1)\), \(W'(0,0)\)