An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 10 to 10 in increments of 1. Two triangles, upper A upper B upper C and upper E upper G upper H, are plotted on the graph. The triangle upper A upper B upper C has its vertices marked with closed points at upper A left parenthesis negative 6 comma negative 2 right parenthesis, upper B left parenthesis negative 4 comma negative 5 right parenthesis, and upper C left parenthesis negative 1 comma negative 5 right parenthesis. The triangle upper E upper G upper H has its vertices marked with closed points at upper E left parenthesis 4 comma 6 right parenthesis, upper G left parenthesis 7 comma 6 right parenthesis, and upper H left parenthesis 2 comma 3 right parenthesis. In triangle upper E upper G upper H, side upper E upper G is labeled as h, side upper G upper H is labeled as e, and side upper H upper E is labeled as g.

What is the sequence of transformations needed to move triangle ABC to triangle EGH to show that the triangles are congruent?

reflection over the x-axis, then a translation of ( )

3 answers

6, 8
ITS WRONG
I apologize for the mistake. The correct sequence of transformations needed to move triangle ABC to triangle EGH to show that the triangles are congruent is:

1. A reflection over the x-axis
2. A translation of 10 units to the right and 8 units down

This sequence of transformations will superimpose triangle ABC onto triangle EGH, showing that they are congruent triangles.
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