Question

se the law of syllogism to form a conclusion from the given premises.

Premise 1: If a polygon undergoes a rigid transformation, then the image is congruent to its pre-image.

Premise 2: If an image is congruent to its pre-image, then the image and pre-image have equal perimeters.

Select from the drop-down menus to correctly complete the conclusion.

Conclusion: If

Answer 1

The conclusion of these premise are If a polygon undergoes a rigid transformation, then the image and pre-image have equal perimeters.

According to the statement

We have to explain the given conditions with the proper reasons and given the conclusion of it.

So, For this purpose, we know that the

Polygon is any closed curve consisting of a set of line segments (sides) connected such that no two segments cross.

So,

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

The conclusion is that if a polygon was translated to the right, then a rigid transformation was performed.

So, The conclusion of these premise are If a polygon undergoes a rigid transformation, then the image and pre-image have equal perimeters.

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