Describe the series of transformations that have occurred to move the triangle in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent.

rotation, then reflection

rotation, then translation

translation, then rotation

reflection, then translation

The correct series of transformations is reflection, then translation.

How would you describe this series of transformations?

Rotation of 90 degrees clockwise and then reflection across the x-axis shows that triangle ABC is congruent to triangle A′′B"C".
Rotation of 90 degrees clockwise and then reflection across the x -axis shows that triangle upper A upper B upper C is congruent to triangle upper A double prime upper B double prime upper C double prime .

Translation of (2,0) and then reflection across the x-axis shows that triangle ABC is congruent to triangle A′′B"C".
Translation of left parenthesis 2 comma 0 right parenthesis and then reflection across the x -axis shows that triangle upper A upper B upper C is congruent to triangle upper A double prime upper B double prime upper C double prime .

Since triangles ABC and A′′B"C" do not have the same orientation, they are not congruent.
Since triangles upper A upper B upper C and upper A double prime upper B double prime upper C double prime do not have the same orientation, they are not congruent.

Reflection across the y-axis and then a translation of (−3,−5) shows that triangle ABC is congruent to triangle A′′B"C".

The correct description of this series of transformations is: Reflection across the y-axis and then a translation of (-3,-5) shows that triangle ABC is congruent to triangle A''B"C".

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.

reflection, then translation

rotation, then translation

translation, then reflection

translation, then transformation

The correct sequence of steps used to move the triangle in Quadrant IV to the triangle in Quadrant II to show congruence is:

1. Translation: Move the triangle to the desired position in Quadrant II.
2. Reflection: Reflect the triangle across the y-axis to match the orientation of the triangle in Quadrant II.

So, the correct answer is "translation, then reflection."

What is 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?

translation, then transformation

reflection, then translation
rotation, then translation

translation, then reflection

The correct sequence of steps used to move the triangle in Quadrant IV to the triangle in Quadrant II to show congruence is:

1. Translation: Move the triangle to the desired position in Quadrant II.
2. Reflection: Reflect the triangle across the y-axis to match the orientation of the triangle in Quadrant II.

So, the correct answer is "translation, then reflection."

What is 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?

rotation 90 degrees clockwise, then a translation of (1, 6)

reflection to Quadrant III, then a translation of (−1, 6)

reflection to Quadrant I, then a translation of (3, 2)

translation to Quadrant II, then a rotation 90 degrees counterclockwise

The correct sequence of steps used to move the triangle in Quadrant IV to the triangle in Quadrant II to show congruence is:

1. Reflection to Quadrant I: Reflect the triangle across the x-axis.
2. Translation: Move the triangle to the desired position in Quadrant II.

So, the correct answer is "reflection to Quadrant I, then a translation of (3, 2)."