Question

the graph shows pentagons pqrst and pqrst. which of the following transformations maps pqrst onto pqrst?

Explanation:

Step1: Analyze x - coordinates change

For point \(P(9,8)\) and \(P'(- 3,5)\), \(9-12=-3\). For point \(Q(9,2)\) and \(Q'(-3,-1)\), \(9 - 12=-3\). The x - coordinates of all corresponding points change by subtracting 12.

Step2: Analyze y - coordinates change

For point \(P(9,8)\) and \(P'(-3,5)\), \(8 - 3=5\). For point \(Q(9,2)\) and \(Q'(-3,-1)\), \(2-3=-1\). The y - coordinates of all corresponding points change by subtracting 3.
This is a translation. The rule for the translation is \((x,y)\to(x - 12,y - 3)\)

Answer:

A translation 12 units to the left and 3 units down.