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# Howard Geometry 3

### Chapter 3 Geometry Vocabulary

Parallel Planes Two planes that do not intersect
Perpendicular Lines Two lines that intersect to form right angles
Converse A statement formed by switching the if and the then of an if-then statement
Image The figure after a transformation has occurred
Alternate Interior Angles Angles on opposite sides of the transversal and between the lines
Alternate Exterior Angles Angles on opposite sides of the transversal and outside the lines
Same Side Interior Angles Angles that lay on the same side of the transversal and between the two lines
Corresponding Angles Angles on the same side of the transversal and in the same position
Vertex The point where two sides of an angle meet
Compass The geometric tool used to construct circles
Transversal A line that intersects two or more coplanar lines at different points
Construction A geometric drawing that uses a compass and straight edge
Translation A set of instructions that maps a figure to an image
Skew Lines Two lines that do not intersect and are not on the same plane
Parallel Lines Two lines that do not intersect and are on the same plane
Theorem 3.1: All right angles... ...are congruent
Theorem 3.2: If two lines are perpendicular, ...then they intersect to form 4 right angles.
Theorem 3.3: If 2 lines intersect to form adjacent congruent angles, ...then the lines are perpendicular.
Theorem 3.4: If 2 sides of adjacent acute angles are perpendicular, ...then the angles are complementary.
Corresponding Angles Postulate If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
Same-Side Interior Angles Theorem If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
Corresponding Angles Converse If corresponding angles are congruent, then the lines are parallel.
Alternate Interior Angles Converse If alternate interior angles are congruent, then the lines are parallel.
Alternate Exterior Angles Converse If alternate exterior angles are congruent, then the lines are parallel.
Same-Side Interior Angles Converse If same-side interior angles are supplementary, then the lines are parallel.
Parallel Postulate If there is a line and a point not on the line, then there is exactly one line parallel to the line through the point.
Perpendicular Postulate If there is a line and a point not on the line, then there is exactly one line perpendicular to the line through the point.
Theorem 3.11 If two lines are parallel to the same line, then they are parallel to each other.
Theorem 3.12 If two lines are perpendicular to the same line, then they are parallel to each other.
Created by: HowardGeometry