Question | Answer |
exterior angles that lie on opposite sides of the transversal | alternate exterior angles |
interior angles that lie on opposite sides of the transversal | alternate interior angles |
when parts of the theorem are reversed | converse |
angles that are in the same position on two parallel lines in relation to a transversal | corresponding angles |
using facts, rules, definitions, or properties to reach logical conclusions | deductive reasoning |
the square root of (x1-x2)^2 + (y1 - y2)
^2 | distance formula |
a polygon in which all angles are congruent | equiangular |
the four outer angles formed by two lines cut by a transversal | exterior angles |
a two-column proof containing statements and reasons | formal proof |
the side opposite the right angle in a right triangle | hypotenuse |
using a number of specific examples to arrive at a plausible generalization or predication | inductive reasoning |
a paragraph proof | informal proof |
four inside angles formed by two lines cut by a transversal | interior angles |
two sides of a right triangle that form the right angle | legs |
a paragraph that explains why a statement or conjecture is true | paragraph proof |
lines that never intersect no matter how far they extend | parallel lines |
two lines that intersect to form right angle | perpendicular lines |
a simple, closed figure formed by three or more line segments | polygon |
a logical argument in which each statement that is made supported by a statement that is accepted as true | proof |
in a right triangle, the square of the length of the hypotenuse c is equal to the sum of the squares of the lengths of the legs a and b | Pythagorean Theorem |
a polygon whose base is a regular polygon | regular polygon |
the angles of a triangle that are not adjacent to a given exterior angle | remote interior angles |
a statement or conjecture that can be proven | theorem |
a line that intersects two or more other lines | transversal |
a figure formed by three line segments that intersect only at their endpoints | triangle |
a formal proof that contains statements and reasons organized in two columns | two-column proof |