Question

lesson 5|sess 2 dakota wants to prove that figures a and b are similar. what sequence of transformations could dakota perform to prove that the figures are similar? show your work.

Explanation:

planation:

Step1: Identify center of dilation

First, find a point around which dilation can occur. Let's assume the origin (0,0) as a possible center.

Step2: Determine dilation factor

Count the lengths of corresponding sides. For example, if a side of figure A has length 2 units and the corresponding side of figure B has length 4 units, the dilation factor $k = 2$.

Step3: Check orientation and translation

Since the orientation of figure A and B is the same, no rotation is needed. Also, after dilation with a factor of 2 centered at the origin, figure A needs to be translated. If we dilate figure A by a factor of 2 centered at the origin, and then translate it 2 units to the right and 0 units vertically, it will match figure B.

Answer:

Dilate figure A by a factor of 2 centered at the origin, then translate it 2 units to the right.