Which sequence of transformations maps triangle abc onto triangle def.
1. a reflection over the x-axis followed by a reflection over the y axis

2. a 180 rotation about the origin followed by a reflection over the line y=x

3. a 90 degree clockwise rotation about the origin followed by a reflection over the y-axis

4. a translation 8 units to the right and one units followed by a 90 degree counterclockwise rotation about the origin

20 point reward

  1.  a reflection over the x-axis followed by a reflection over the y axis

Step-by-step explanation:

The sequence of corresponding vertices is CCW for both triangles, so an even number of reflections (or a rotation) is involved. (This eliminates choices 2 and 3.)

Segment AB is in the opposite direction of segment DE, so rotation by 90° cannot be involved. (This eliminates choice 4.)

Triangle DEF is apparently a rotation about the origin by 180° of triangle ABC. The equivalent is reflection across both axes. (Matches choice 1.)

the graph on the bottom right

answerthe vertex form

step-by-step explanation: