Question

Use the premises and conclusion to answer the questions.

Premises:

If the sides of a triangle are the same length, then the triangle is an equilateral triangle.

If a triangle is an equilateral triangle, then the measure of each angle is 60°.

Conclusion:

If the sides of a triangle are the same length, then the measure of each angle is 60°.

Is the argument valid? Why or why not?

The argument is not valid because the premises are not true.

The argument is not valid because the conclusion does not follow from the premises.

The argument is valid by the law of syllogism.

The argument is valid by the law of detachment.

Answer 1

This  one is  choice C again.

Answer 2

Answer: The argument is valid by the law of syllogism.

Explanation:

Law of syllogism in geometric arguments is similar to transitive property which tells that that if x=y and y=z then x=z.

Given premises: If the sides of a triangle are the same length, then the triangle is an equilateral triangle.

If a triangle is an equilateral triangle, then the measure of each angle is 60°.

Therefore by law of syllogism we can conclude that "If the sides of a triangle are the same length, then the measure of each angle is 60°."