Question

what sequence of transformations could you use to show that ∠abc and ∠def are congruent? translate ∠def? units to the right and then units up.

Explanation:

Step1: Calculate horizontal translation

Find the difference in \(x -\)coordinates. For example, take a point in \(\angle DEF\) (say \(D(1,2)\)) and a corresponding point in \(\angle ABC\) (say \(A(6,7)\)). The horizontal translation is \(6 - 1=5\) units to the right.

Step2: Calculate vertical translation

Find the difference in \(y -\)coordinates. Using the same points \(D(1,2)\) and \(A(6,7)\), the vertical translation is \(7 - 2 = 5\) units up.

Answer:

Translate \(\angle DEF\) \(5\) units to the right and then \(5\) units up.