Congruent Figures Quick Check3 of 53 of 5 ItemsQuestionUse 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. Three triangles are plotted on the graph. The first triangle is placed in the first quadrant with vertices marked as closed points at the following coordinates: left parenthesis 3 comma 1 right parenthesis, left parenthesis 3 comma 3 right parenthesis, and left parenthesis 7 comma 1 right parenthesis. The second triangle is placed in the second quadrant with vertices marked as closed points at the following coordinates: left parenthesis negative 1 comma 3 right parenthesis, left parenthesis negative 5 comma 3 right parenthesis, and left parenthesis negative 5 comma 5 right parenthesis. The third triangle is placed in the fourth quadrant with vertices marked as closed points at the following coordinates: left parenthesis 1 comma negative 3 right parenthesis, left parenthesis 1 comma negative 7 right parenthesis, and left parenthesis 3 comma negative 3 right parenthesis. An arrow goes from the point left parenthesis 3 comma 1 right parenthesis to left parenthesis negative 5 comma 3 right parenthesis; an arrow goes from the point left parenthesis 3 comma 3 right parenthesis to left parenthesis negative 5 comma 5 right parenthesis; an arrow goes from left parenthesis 7 comma 1 right parenthesis to left parenthesis negative 1 comma 3 right parenthesis.Describe the sequence of steps used to move the triangle in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent.(1 point)Responsestranslation, then transformationtranslation, then transformationreflection, then translationreflection, then translationrotation, then translationrotation, then translationtranslation, then reflection

Answer 1

To determine the sequence of steps used to move the triangle in Quadrant IV to the triangle in Quadrant II, we need to analyze how the triangles can be transformed to match each other.

Given that:

• The first triangle is in Quadrant I.
• The second triangle is in Quadrant II.
• The third triangle is in Quadrant IV.

The transformation needed to go from the triangle in Quadrant IV to the triangle in Quadrant II involves reflecting it across the y-axis (since it starts in the fourth quadrant and moves to the second quadrant) and then translating it to the correct position.

The correct sequence of steps is: reflection, then translation.

Therefore, the answer is: reflection, then translation.