Miuniwasabiviz Miuniwasabiviz Math Answered Identify the kind of reasoning used. 1. 5, 10, 15, 20. The next number is 25.2. Iya:Drew::Heart:Chiz3. A regular polygon is equilateral. ABCDE is a regular pentagon. Therefore, ABCDE is equilateral. 4. Filipinos are peace-loving people. Julia is a Filipino. Therefore, she is peace-loving. 5. A child’s teacher in pre-school was a female. In his grades 1, 2 and 3, his teachers were female. The child may say that all teachers are female.