Question

Perform the following series of rigid transformations on ∆ABC:

Translate ∆ABC by moving it 5 units to the right and 2 units up.
Draw the line y = -x and reflect ∆A'B'C' across the line.
Rotate ∆A''B''C'' counterclockwise about the origin by 270°.
Which transformation is applied first?
A. Translation
B. Reflection
C. Rotation
D. Cannot be determined

Answer 1

The first transformation applied to ▲ABC is a translation, moving the triangle 5 units right and 2 units up.

Step-by-step explanation:

The transformation that is applied first on ▲ABC is the translation. According to the series of rigid transformations described, ▲ABC is first translated (moved) 5 units to the right and 2 units up to become ▲A'B'C'. This translation is followed by a reflection across the line y = -x, yielding ▲A''B''C''. The final transformation is a rotation of ▲A''B''C'' counterclockwise about the origin by 270°.