Question

ASAP: Which conclusion can be drawn based on the true statements shown?

If a triangle is equilateral, then all the sides in the triangle are congruent.
If all the sides in a triangle are congruent, then all the angles are congruent.

Based on the law of syllogism, if all the angles in a triangle are congruent, then the triangle is equilateral.
Based on the law of detachment, if all the angles in a triangle are congruent, then the triangle is equilateral.
Based on the law of syllogism, if a triangle is equilateral, then all the angles are congruent.
Based on the law of detachment, if a triangle is equilateral, then all the angles are congruent.

Answer 1

Based on the law of syllogism, if a triangle is equilateral, then all the angles are congruent.

Explanation:

took test and made 100. law of syllogism shows this to be true

Answer 2

Conclusion:

Based on the law of syllogism, if a triangle is equilateral, then all the angles are congruent.

Explanation:

The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c.

In syllogism, we combine two or more logical statements into one logical statement.

Statement 1:

If a triangle is equilateral, then all the sides in the triangle are congruent.

Statement 2:

If all the sides in a triangle are congruent, then all the angles are congruent.

Concluded Statement using law of syllogism:

Based on the law of syllogism, if a triangle is equilateral, then all the angles are congruent.