Write 4–6 sentences explaining why it is important to have precise definitions in mathematics. Choose five terms, some from geometry and some from other areas of mathematics, and give a precise definition of each. Then change each of those definitions so that it still describes the term but not precisely enough to avoid ambiguity. Formulate counterexamples, with sketches when feasible, that show how things could satisfy the less precise definitions but not match the intended terms.

Abdul is making a map of his neighborhood he knows the following information: his home, the middle school, and high school are all on the same street. his home, the elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem