Question

each graph shows two polygons abcd and abcd. in each case, describe a sequence of transformations that takes abcd to abcd.
a.
from unit 1, lesson 5

Explanation:

Step1: Analyze coordinate changes

First, observe the coordinates of corresponding points. For example, point \(A(3, - 3)\) and \(A'(3,-4)\), point \(B(1,-4)\) and \(B'(0,-4)\).

Step2: Determine translation

We can see that the figure is translated down by \(1\) unit (since the \(y\) - coordinate of each point decreases by \(1\)) and then translated left by \(1\) unit (since the \(x\) - coordinate of each point decreases by \(1\)).

Answer:

Translate the polygon \(ABCD\) down \(1\) unit and then translate it left \(1\) unit.