Ask a New Question
Menu

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?

(1 point)

reffection to Quadrant 1, then a translation of (3, 2)

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

Reflection to Quadrant III, then a translation of (-1, 6)

translation to Quadrant II, then a rotation 90 degrees counterclockwise

1 answer

To determine the correct sequence of steps for moving the triangle in Quadrant IV to the triangle in Quadrant II, first we need to visualize the positions of the triangles.

The options provided involve reflections, rotations, and translations.

  1. Reflection across the x-axis (to get to Quadrant III) can be a step if we are involving a triangle in Quadrant IV.
  2. Translation would generally help in moving the shape horizontally and vertically to the desired location; in this case, from Quadrant III to Quadrant II.
  3. If the triangle needs to be rotated, a 90-degree rotation could change its orientation, but this may not always be necessary depending on the specific triangles' orientations.

Given the options you've provided, the correct transformation that defines congruence and follows the movements from Quadrant IV to Quadrant II efficiently would be:

Reflection to Quadrant III, then a translation of (-1, 6)

This method allows it to be reflected and then suitably translated to the location in Quadrant II. The other options may not adequately describe congruence or miss articulating the correct movement path.

Thus, the correct answer is: Reflection to Quadrant III, then a translation of (-1, 6).