Answer:
Conclusion:
Based on the law of syllogism, if a triangle is equilateral, then all the angles are congruent.
Step-by-step 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.
Answer:
Based on the law of syllogism, if a triangle is equilateral, then all the angles are congruent.
Step-by-step explanation:
took test and made 100. law of syllogism shows this to be true
