To prove that △ABC is congruent to △GHE, we can use the sequence of transformations:
1) Translate △ABC 3 units left and 6 units up. This moves point A to point G.
2) Reflect △ABG over the y-axis. This moves point B to point H.
3) Rotate △AGH 180 degrees counter-clockwise about the origin. This moves point C to point E.
After these transformations, we can see that △ABC is congruent to △GHE.
Use the image to answer the question.
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 1 comma negative 3 right parenthesis, upper B left parenthesis 1 comma negative 1 right parenthesis, and upper C left parenthesis 4 comma negative 3 right parenthesis. The triangle upper E upper G upper H has its vertices marked with closed points at upper E left parenthesis negative 2 comma 5 right parenthesis, upper G left parenthesis negative 2 comma 2 right parenthesis, and upper H left parenthesis negative 4 comma 2 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.
△ABC is congruent to △GHE. Describe a sequence of transformations from △ABC to △GHE that proves their congruence.
(2 points)
1 answer