Question

prove that abc and def are similar by giving a sequence of transformations that will transform abc onto def. rotate 90° counterclockwise about the origin rotate 90° clockwise about the origin translate up 2 units reflect about the x - axis dilate by a factor of 1/2 from the origin reflect about the y - axis dilate by a factor of 2 from the origin

Explanation:

Step1: Rotate 90° counterclockwise about the origin

This rotation will re - orient the triangle ABC in a new position.

Step2: Dilate by a factor of 2 from the origin

Dilation with a scale factor of 2 will make the triangle ABC larger.

Step3: Translate up 2 units

This translation will move the dilated and rotated triangle ABC to the position of triangle DEF.

Answer:

rotate \(90^{\circ}\) counterclockwise about the origin → dilate by a factor of 2 from the origin → translate up 2 units