Question

triangle abc is transformed to obtain triangle abc as shown. 13. drag the transformations used into the boxes to show the sequence that generated abc from abc. transformation used: reflection across the x - axis, translation 2 units right and 1 unit down, counterclockwise rotation by 90° about the origin, reflection across the y - axis, translation 2 units left and 1 unit up. step 1: step 2:

Explanation:

Step1: Observe orientation change

We can see that the orientation of triangle ABC has changed in a way that resembles a rotation. By comparing the positions of the vertices, we can tell that a counter - clockwise rotation by 90° about the origin has occurred first. This changes the relative positions of the vertices in a characteristic 90 - degree turn.

Step2: Observe vertical position change

After rotation, we notice that the triangle has been moved down vertically. Counting the grid units, we find that it has been translated 1 unit down.

Answer:

Step 1: Counterclockwise rotation by 90° about the origin
Step 2: Translation 1 unit down