Chapter 3 Flashcards
Angles that are inside and alternative
Alternative interior angles
A line that intersects two Coplanar lines at two distinct points.
Transversal lines
Two angles that are on same side inside
Same side interior angles
Lines on outside of lines
Corresponding angles
If a transversal intersects two parallel lines then corresponding angles are confruent
Corresponding angles postulate
If a transversal intersects two parallel lines then alternate interior angles are congruent
Alternate interior angles theorAm
If a transversal intersects two parallel lines then same side interior angles are supplementary
Same side interior angles
Angles in outside tht are alternative
Alternative exterior angles
Angles on same side that are outside
Same side exterior angles
If a transversal intersects two parallel lines then alternate exterior angles are congruent
Alternate exterior angles theorAm
If two lines ad a transversal form corresponding angles that are congruent than the two lines are parallel
Converse of corresponding angles postulate
If two lines and a transversal form alternate interior angles alternate are congruent then the two lines are parallel
Converse of alternate interior angles
If two lines and a transversal form same side interior angles that are supplementary then the two lines are parallel
Converse if same side interior angles theorAm
If two lines and a transversal form alternate exterior angles that are congruent then the two lines are parallel
Converse exterior alternate angles theoram
If two lines and a transversal irk same side exterior angles that are supplementary then the two lines are parallel
Converse same side exterior angles
If two lines are parallel to the same line then they are parallel to each other
Theorem 3-9
In a plane of two lines are perpendicular to the same line then they are parallel to each other
Theorem 3-10
In a plane if a line is perpendicular to one of two parallel lines then it is also parallel to the othr
Theorem 3-11
The sum of the measures of the angles of a triangle is 180
Triangle angle sum theorem
An angle formed by a side am an extension of an adjacent side
Exterior angle of a polygon
The measure of each exterior angle of a triangle equals the sum o the measures of its two remote interior angles
Triangle exterior angle theoram
Two non adjacent interior angles
Remote interior angles
Closed plane figure with at least three sides that are segments. The sides intersect only at their endpoints, and no adjacent sides are collinear
Polygon
No diagonal with points outside the polygon
Convex polygon
Has at least one diagonal with points outside the polygon
Concave polygon
The sum of the measures of the angles of a n-gon is (n-2)180
Polygon angles sum theorem 3-14
The sum of the measures of the exterior angles of a polygon one at each vertex is 360
Polygon angle sum theorem 3-15
All sides congruent
Equilateral polygon
All angles congruent
Equiangular polygon
Both equilateral and equilangular
Regular polygon