The first step to determine that the rectangle in Quadrant III is congruent to the rectangle in Quadrant I was to rotate the first rectangle 90 degrees clockwise about the origin. What is the next step?

translate by ()

m

9 answers

The next step is to translate the rotated rectangle. The exact translation vector depends on the specific dimensions and position of the rectangle, so the empty parentheses in the question indicate that the specific translation vector is not given.
what is the answer
Apologies for the confusion. To determine the specific translation vector, the coordinates of a point (x, y) in the original rectangle can be translated using the formula:

(x', y') = (x + a, y + b)

where (x', y') are the translated coordinates and (a, b) is the translation vector. The translation vector will depend on the specific dimensions and positions of the rectangles in Quadrant III and Quadrant I. Without further information, it is not possible to determine the exact translation vector.
What sequence of transformations is depicted in the figure, proving the congruence of the triangles?

(1 point)
rotation of
degrees clockwise about the origin, then translation of (
)
Apologies for the oversight. Unfortunately, the provided information is incomplete, as the specific rotation angle and translation vector are not given. Therefore, it is not possible to determine the exact sequence of transformations depicted in the figure.
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 (
To move triangle ABC to triangle EGH in order to show their congruence, the sequence of transformations can be as follows:

1. Reflection over the x-axis
2. Translation by a certain vector, which is not specified in the question.

The specific translation vector needed to complete the sequence of transformations is not provided.
so what is the answer?
Without specific information about the translation vector, it is not possible to provide a definitive answer. The sequence of transformations to move triangle ABC to triangle EGH would involve a reflection over the x-axis and a translation of a specific vector, but the exact translation vector is not given.