the triangles are congruent by sss or hl. the diagram shows the sequence of three rigid transformations used…
the triangles are congruent by sss or hl. the diagram shows the sequence of three rigid transformations used to map △abc onto △abc. what is the sequence of the transformations? rotation, then reflection, then translation rotation, then translation, then reflection reflection, then translation, then rotation reflection, then rotation, then translation
Answer
Explanation:
Step1: Analyze the orientation change
First, we can observe that the orientation of $\triangle ABC$ changes with respect to the vertical - horizontal axes. This kind of change in orientation is typically achieved by a reflection. A reflection flips the figure over a line.
Step2: Analyze the rotation - like change
After the reflection, the figure seems to be rotated around a point to align better with $\triangle A'B'C'$. Rotation is the transformation that turns a figure around a fixed point.
Step3: Analyze the position change
Finally, we can see that the figure needs to be moved to exactly map onto $\triangle A'B'C'$. This movement is a translation, which slides the figure without changing its shape, size, or orientation.
Answer:
reflection, then rotation, then translation