Triangle ABC is reflected across the y axis to produce triangle DEF. Which segment on DEF is congruent to the segment BC? B is on 6 y axis and 3 on x axis and C is 2 y axis and 6 x axis

2 answers

When triangle ABC is reflected across the y-axis, all the points will have the same x-coordinate but opposite y-coordinates. In other words, the x-coordinates will remain the same, and the y-coordinates will have the opposite sign.

The x-coordinate of point B is 3, so after reflecting across the y-axis, the x-coordinate of the corresponding point D will also be 3.

The y-coordinate of point B is 6, so after reflection, the y-coordinate of the corresponding point D will be -6.

Thus, the corresponding point to B in triangle DEF is D(3, -6).

The corresponding segment to BC is therefore segment DE, with coordinates D(3, -6) and E(2, -2).
segment EF