Question

1. translate 2 units right and 4 units down.

rotate 180° around the origin.
is congruent to the original figure.
congruent: yes or no

Explanation:

Step1: Understand transformation properties

Translation (shifting) and rotation (turning) are rigid transformations. Rigid transformations preserve the shape and size of a figure.

Step2: Analyze the effect of given transformations

Translating a figure (2 units right and 4 units down) and rotating it \(180^{\circ}\) around the origin are both rigid transformations. Since rigid - transformations do not change the side - lengths and angles of a figure.

Answer:

yes