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: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.