Question

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 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?

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To move triangle ABC to triangle EGH and show that they are congruent, we need to perform the following sequence of transformations:

1. Reflection over the x-axis: This will reflect triangle ABC to its mirror image below the x-axis.

2. Translation: This is indicated by the phrase "then a translation of", followed by an empty space. The specific translation vector is missing from the description, so we cannot determine the exact translation that needs to be performed.

Therefore, the correct answer would be reflection over the x-axis, followed by an unknown translation.