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?

Question

(1 point)

Reflection, then translation

translation, then transformation

Rotation, then translation

translation, then reflection

Answer 1

To show that two triangles in different quadrants are congruent, you would typically first use a reflection to align them and then a translation to move them into position.

In this case, if you are moving a triangle from Quadrant IV to Quadrant II, the correct sequence of steps would be:

Reflection, then translation

This means you first reflect the triangle across the x-axis (to move it from Quadrant IV to Quadrant III) and then translate it to the left into Quadrant II.

So the answer is: Reflection, then translation.