Geometry Chapter 5 Flashcards

Sharing a common side without overlapping

Same size and same shape

Outside angles that lie on opposite sides of the transversal. These pairs of angles are congruent.

<p>Inside angles that lie on opposite sides of the transversal. These pairs of angles are congruent.</p> Signup and view all the answers

<p>The converse of a theorem is formed when the parts of the theorem are reversed.</p> Signup and view all the answers

<p>Angles that are in the same position on two parallel lines in relation to a transversal. These pairs of angles are congruent.</p> Signup and view all the answers

<p>A system of reasoning that uses facts, rules, definitions, or properties to reach logical conclusions.</p> Signup and view all the answers

<p>A polygon in which all angles are congruent.</p> Signup and view all the answers

<p>The four outer angles formed by two parallel lines cut by a transversal.</p> Signup and view all the answers

<p>A two-column proof containing statements and reasons.</p> Signup and view all the answers

<p>The side opposite the right angle in a right triangle.</p> Signup and view all the answers

<p>Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction.</p> Signup and view all the answers

<p>A paragraph proof.</p> Signup and view all the answers

<p>The four inside angles formed by two parallel lines cut by a transversal.</p> Signup and view all the answers

<p>The two sides of a right triangle that form the right angle.</p> Signup and view all the answers

<p>A paragraph that explains why a statement or conjecture is true.</p> Signup and view all the answers

<p>Lines in the same plane that never intersect or cross.</p> Signup and view all the answers

<p>Two lines that intersect to form right angles.</p> Signup and view all the answers

<p>A simple closed figure formed by three or more line segments (a many-sided figure).</p> Signup and view all the answers

<p>A logical argument in which each statement that is made is supported by a statement that is accepted as true.</p> Signup and view all the answers

<p>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.</p> Signup and view all the answers

<p>A polygon that is equilateral and equiangular.</p> Signup and view all the answers

<p>The angles of a triangle that are not adjacent to a given exterior angle.</p> Signup and view all the answers

<p>A statement or conjecture that can be proven.</p> Signup and view all the answers

<p>A line that intersects two or more other lines.</p> Signup and view all the answers

<p>A figure formed by three line segments that intersect only at their endpoints (a three-sided polygon).</p> Signup and view all the answers

<p>A formal proof that contains statements and reasons organized in two columns. Each step is called a statement, and the properties that justify each step are called reasons.</p> Signup and view all the answers