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# Geometry Chapter 3

### Angles, Parallel Lines, Perpendicular Lines

Zero Angle An angle that measures zero degrees; a ray.
Straight Angle An angle measuring 180 degrees; a line.
Right angle An angle measuring 90 degrees. A box must be drawn to indicate a right angle, or you must be told a specific angle is a right angle.
Angle bisector A line, line segment, or ray that divides an angle in half.
Complementary angles A pair of angles whose sum equals 90 degrees. Complementary angles do not need to be adjacent angles.
Supplementary angles A pair of angles whose sum equals 180 degrees. Supplementary angles do not need to be adjacent.
Linear Pair A pair of angles that form a line, sharing the same vertex and a side of each angle. These angles MUST be adjacent.
Vertical angles Non-adjacent, congruent angles formed by intersecting lines. There are two pairs of vertical angles when two lines intersect.
Acute angle An angle that measures 0<x<90 degrees.
Obtuse angle An angle that measures 90<x<180.
Midpoint Some point M on segment AB such that AM=MB.
Circle Coplanar points that are equidistant from a center point.
Minor Arc An arc measuring 0<x<180 degrees on a circle.
Major arc An arc measuring 180<x<360 degrees on a circle.
Reflexive property of equality For all real numbers "x"; x=x.
Symmetric property of equality For all real numbers "a" and "b", If a=b, then b=a.
Transitive property of equality For all real numbers "a", "b", and "c", If a=b and b=c, then a=c.
Additive property of equality For all real numbers "a", "b", and "c", If a=b, then a+c=b+c.
Multiplication property of equality For all real numbers "a", "b", and "c", If a=b, then ac=bc.
Additive property of inequality For all real numbers "a", "b", and "c", If a<b, then a+c<b+c.
Multiplication property of inequality For all real numbers "a", "b", and "c", If a<b and c>0, then ac<bc. If a<b and c<0, then ac>bc.
Transitive property of inequality For all real numbers "a", "b", and "c", If a<b and b<c, then a<c.
Equation to the Inequality property For all real numbers "a", "b", and "c", If a+b=c, then c>a and c>b.
Created by: aliciaobermann