Determine the congruence transformation used on △ABC that resulted in △DEF. (1 point) Responses △ABC was shifted 2 units to the left and 2 units up, then reflected across the y-axis. triangle upper A upper B upper C was shifted 2 units to the left and 2 units up, then reflected across the y -axis. △ABC was rotated −180° (clockwise) or 180° (counterclockwise), then shifted 2 units to the right and 2 units up. triangle upper A upper B upper C was rotated negative 180 degrees (clockwise) or 180 degrees (counterclockwise), then shifted 2 units to the right and 2 units up. △ABC was reflected across the y-axis, then shifted 2 units to the right and 2 units up. triangle upper A upper B upper C was reflected across the y -axis, then shifted 2 units to the right and 2 units up. △ABC was shifted 2 units to the right and 2 units up, then rotated 180° (counterclockwise).

Question

Determine the congruence transformation used on △ABC that resulted in △DEF. (1 point) Responses △ABC was shifted 2 units to the left and 2 units up, then reflected across the y-axis. triangle upper A upper B upper C was shifted 2 units to the left and 2 units up, then reflected across the y -axis. △ABC was rotated −180° (clockwise) or 180° (counterclockwise), then shifted 2 units to the right and 2 units up. triangle upper A upper B upper C was rotated negative 180 degrees (clockwise) or 180 degrees (counterclockwise), then shifted 2 units to the right and 2 units up. △ABC was reflected across the y-axis, then shifted 2 units to the right and 2 units up. triangle upper A upper B upper C was reflected across the y -axis, then shifted 2 units to the right and 2 units up. △ABC was shifted 2 units to the right and 2 units up, then rotated 180° (counterclockwise).

Answer 1

△ABC was shifted 2 units to the left and 2 units up, then reflected across the y-axis.

Answer 2

The congruence transformation used on △ABC that resulted in △DEF is:

△ABC was reflected across the y-axis, then shifted 2 units to the right and 2 units up.

Answer 3

To determine the congruence transformation used on △ABC that resulted in △DEF, we can break down the given transformations and analyze them step by step.

The first transformation mentioned is shifting △ABC 2 units to the left and 2 units up. This means that each point of △ABC is moved 2 units to the left and 2 units up to obtain △DEF.

Next, the transformation mentioned is reflecting △ABC across the y-axis. Reflection across the y-axis means that each point's x-coordinate is negated while the y-coordinate remains the same. So, if △ABC is reflected across the y-axis, the x-coordinates of all the points in △ABC will become their negative values in △DEF.

Now, let's analyze the given options based on the description above:

Option 1: △ABC was shifted 2 units to the left and 2 units up, then reflected across the y-axis.
This matches the description we explained since it includes both shifting △ABC and reflecting it across the y-axis. Therefore, this option could be the correct congruence transformation.

Option 2: △ABC was rotated −180° (clockwise) or 180° (counterclockwise), then shifted 2 units to the right and 2 units up.
This option includes rotation, which is not mentioned in the original description. Therefore, this option does not match the given information.

Option 3: △ABC was shifted 2 units to the left and 2 units up, then reflected across the y-axis.
This option matches the description we explained since it includes both shifting △ABC and reflecting it across the y-axis. Therefore, this option could be the correct congruence transformation.

Option 4: △ABC was reflected across the y-axis, then shifted 2 units to the right and 2 units up.
This option includes reflecting △ABC, which is mentioned in the original description, but the shifting is in the opposite direction. Therefore, this option does not match the given information.

Option 5: △ABC was shifted 2 units to the right and 2 units up, then rotated 180° (counterclockwise).
This option includes shifting △ABC, but the rotation is in the opposite direction compared to the original description. Therefore, this option does not match the given information.

Based on the analysis, the two options that match the given description are Option 1 and Option 3. It is not possible to determine the single correct congruence transformation without further information or clarification.