Question

match it again. this time, enter coordinates to translate the original shape 2.5 units to the left and 1 unit down. submit

Explanation:

Step1: Determine the rule for translation

When translating a point \((x,y)\) \(2.5\) units to the left, we subtract \(2.5\) from the \(x -\) coordinate. When translating \(1\) unit down, we subtract \(1\) from the \(y -\) coordinate. The rule is \((x,y)\to(x - 2.5,y - 1)\)

Step2: Apply the rule to each point

• For the point \((1,1)\):

\(x_{\text{new}}=1-2.5=-1.5\), \(y_{\text{new}}=1 - 1=0\)

• For the point \((3,1)\):

\(x_{\text{new}}=3-2.5 = 0.5\), \(y_{\text{new}}=1-1 = 0\)

• For the point \((3,2)\):

\(x_{\text{new}}=3-2.5=0.5\), \(y_{\text{new}}=2 - 1=1\)

• For the point \((2,2)\):

\(x_{\text{new}}=2-2.5=-0.5\), \(y_{\text{new}}=2 - 1=1\)

• For the point \((2,4)\):

\(x_{\text{new}}=2-2.5=-0.5\), \(y_{\text{new}}=4 - 1=3\)

• For the point \((1,4)\):

\(x_{\text{new}}=1-2.5=-1.5\), \(y_{\text{new}}=4 - 1=3\)

Answer:

\(x\)	\(y\)	new \(x\)	new \(y\)
\(3\)	\(1\)	\(0.5\)	\(0\)
\(3\)	\(2\)	\(0.5\)	\(1\)
\(2\)	\(2\)	\(-0.5\)	\(1\)
\(2\)	\(4\)	\(-0.5\)	\(3\)
\(1\)	\(4\)	\(-1.5\)	\(3\)