Chapter 3 Flashcards
<2
Alturnative interior angles
Line that intersects two coplanor lines at two distinct points
Transversal
<4 are
Same side interior angles
<7 are
Corresponding angles
If a transversal intersects two parrallel lines then corresponding angles are congruent
Corresponding angles postulate
If a transversal intersects two parallel lines then alturnate interior angles are congruent
Alturnate interior angles thereom
If a transversal intersects two parrallel lines then same side interior angles are supplementary
Same side interior angles thereom
If a transversal intersects two parallel then alturnate exterior angles are congruent
Alturnate exterior angles thereom
If a transversal intersects two parrallel lines then same side exterior angles are supplementary
Same side exterior angles thereom
If two lines and a transversal form correspomding angles that are congruent then the two lines are parelel
Converse of the corresponding angles postulate
If two lines and a transversal for alturnate interio angles that are congruent then the two lines are parelel
Converse of the alturnate interior angles thereom
If two lines and a transversal form same dude interior angles that are supplementary then the two lines are parelel
Converse of the same side interior angles thereom
If two lines and a transversal form alturnate exterior angles that are congruent then the two lines are parelel
Converse of the alturnate exterior angles thereom
If two lines and a transversal for same side exterior angles that are supplementary then the two lines are parelel
Converse of the same side exterior angles thereom
If two lines are parelell to the same line then they are also parelel
Thereom 3-9
In a plane if two lines are perpindicular to the same line then they are parelel to each other
Thereom 3-10
In a plane if a line is perpindicular to one of two parrallel lines then it is also perpindicular to the other
Theorem 3-11
The sum of the angles of a triangle is 180
Thereom 3-12
The measure of each exterior angle of a triangle equals the sum of it’s two remote interior angle
Thereom3-13
Closed plane figure with at least three sides that are segments
Polygon
The sum of the angles of an n gon is (n-2)180
Polygon angle sum theory
Has no diagonal with points outside the polygon
Convex
Has at least one diagonal with points outside the polygon
Concave
The sum of the measures of the exterior angles of a polygon one at each vertex is 360
Polygon exterior angles sum theary