Question

Use the law of syllogism to form a conclusion from the given premises. Premise 1: If a polygon was translated to the right, then its image is congruent to its pre-image. Premise 2: If an image is congruent to its pre-image, then a rigid transformation was performed. Select from the drop-down menus to correctly complete the conclusion.

Answer 1

Premise 1: If a polygon was translated to the right, then its image is congruent to its pre-image.

In symbols: p => q

Premise 2: If an image is congruent to its pre-image, then a rigid transformation was performed.

In symbols: q => r

By the law of silogism

(p => q) and (q => r) => q => r

So, the conclusion is that if a polygon was translated to the right, then a rigid transformation was performed. <---- answer

Answer 2

Ok You're probably here from K12 so heres the answer:

Conclusion: If a polygon undergoes a rigid transformation, then the image and pre-image have equal perimeters.

I just took the test and got this right, I'm a K12 student as well.

Hope this helps :)