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8th Math chapter 5
Triangles and the Pythagorean Theorem STUDENT GLOSSARY
| Question | Answer |
|---|---|
| alternate exterior angles | exterior angles that lie on opposite sides of the transversal, their measures are equal |
| alternate interior angles | interior angles that lie on opposite sides of transversal,their measures are equal |
| converse | reversed parts of the pythagorean theorm |
| corresponding angles | angles that are in the same position on the two lines in relation to the transversal when the lines are parallel their measures are equal |
| deductive reasoning | uses facts rules definitions or laws to make conjectures from given situations |
| Distance Formula | to find the distance between two points on the coordinate plane |
| equiangular | a polygon that is equalateral |
| exterior angles | lie outside the lines |
| formal proof | a two column proof containing statements and reasons |
| hypotenuse | the side opposite side of the right angle |
| inductive reasoning`` | the process of making a conjecture from given situations |
| informal proof | a paragraph proof |
| interior angles | lie inside the lines |
| legs | are the sides that form the right angle |
| paragraph proof | a paragraph that explains why a statement or conjecture is true |
| parallel lines | two lines that are in the same plane |
| perpendicular lines | two lines that intersect in a plane and form right angles |
| polygon | a simple closed figure formed by three or more line segments |
| proof | a logical argument in which each statement that is supported by a statement that is accepted ture |
| Pythagorean Theorem | in a right angle the square of lengths of the hypotenuse c is equal to the sum of the squares of the lengths of the legs a and b |
| regular polygon | a polygon that is equilateral and equiangular |
| remote interior angles | are not adajacent to the exterior angles |
| theorem | a statement or conjecture that can be proven |
| transversal | a line that intersects two or more |
| triangle | formed by three line segments that intersect only at their endpoints |
| two-column proof | A formal proof that contains statement and reasons organized in two columns |