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.

Question

(1 point)
Responses

reflection, then translation
reflection, then translation

translation, then transformation
translation, then transformation

translation, then reflection
translation, then reflection

rotation, then translation

Answer 1

To determine how to move a triangle in Quadrant IV to a triangle in Quadrant II and show that they are congruent, follow these steps:

1. Reflection: First, reflect the triangle across the y-axis. This will move the triangle from Quadrant IV (where both x and y coordinates are negative) to Quadrant III, where the x coordinates are negative and the y coordinates are positive.

2. Translation: Next, translate the triangle from Quadrant III to Quadrant II. This involves moving the entire triangle to the left across the y-axis, ensuring that it ends up in Quadrant II where both x coordinates are negative and y coordinates are positive.

Therefore, the correct sequence of steps is:

reflection, then translation.