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# 8th Math chapter 5

### Triangles and the Pythagorean Theorem STUDENT GLOSSARY

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
Created by: asimien907