Question

an isosceles triangle with angles measuring 50°, 50°, and 80° undergoes a translation, rotation, and reflection. determine whether the angle - measures of the image of the triangle are 50°, 50°, and 80° after each transformation. select yes or no for each transformation. translation 〇 yes 〇 no rotation 〇 yes 〇 no reflection 〇 yes 〇 no

Explanation:

Step1: Recall rigid - motion properties

Translation, rotation, and reflection are rigid - motions. Rigid - motions preserve angle measures.

Step2: Analyze each transformation

Since translation is a rigid - motion, the angle measures of the triangle remain the same. So for translation, the answer is yes.
Since rotation is a rigid - motion, the angle measures of the triangle remain the same. So for rotation, the answer is yes.
Since reflection is a rigid - motion, the angle measures of the triangle remain the same. So for reflection, the answer is yes.

Answer:

Translation: Yes
Rotation: Yes
Reflection: Yes