GEOMETRY REVIEW Look how far we have come already!

Chapter 1 Terms Points Points Lines Lines Planes Planes Coplanar Coplanar Collinear Collinear Intersection Intersection Distance (length) Distance (length) Segments Rays Midpoint Congruent Bisector Angles Adjacent

Chapter 1 Post.and Thms. Angle Addition Angle Addition Segment Addition Segment Addition Line (at least two points) Line (at least two points) Plane (at least three points) Plane (at least three points) Space (at least four points) Space (at least four points) One line through two points One line through two points Two points in a plane, then line between those two points must also be in the plane Two points in a plane, then line between those two points must also be in the plane

More Post. And Thms. Two planes intersect in a line Two planes intersect in a line Two lines intersect in a point Two lines intersect in a point If two lines intersect, one plane contains the lines. If two lines intersect, one plane contains the lines. Three noncollinear points make exactly one plane. Three noncollinear points make exactly one plane.

Chapter 2 If-then Statements If-then Statements Hypothesis Hypothesis Conclusion Conclusion Converse Converse Inverse Inverse Contrapositive Contrapositive Biconditional Biconditional Counterexample Counterexample Properties of Equality and Properties of Congruence Midpoint Theorem Angle Bisector Theorem

Chapter 2 Angles Vertical angles are congruent Vertical angles are congruent Complementary angles = 90 Complementary angles = 90 Supplementary angles = 180 Supplementary angles = 180 Acute angle < 90 Acute angle < 90 Obtuse angle > 90 Obtuse angle > 90 Straight angle = 180 Straight angle = 180 Right angle = 90 Right angle = 90

Chapter 2 Perpendicular Lines Lines that form 90 degree angles (right angles) Lines that form 90 degree angles (right angles) Always form congruent adjacent angles Always form congruent adjacent angles

Chapter 3 Parallel Lines: are coplanar lines that do not intersect Parallel Lines: are coplanar lines that do not intersect AIAs AIAs CAs CAs SSIAs SSIAs SSEAs SSEAs Skew lines: are noncoplanar lines Skew lines: are noncoplanar lines Transversal: a line that intersects two or more coplanar lines Transversal: a line that intersects two or more coplanar lines

Chapter 3 Triangles Scalene: no sides congruent Scalene: no sides congruent Isosceles: at least two sides congruent Isosceles: at least two sides congruent Equilateral: all sides congruent Equilateral: all sides congruent Acute: three acute angles Acute: three acute angles Obtuse: one obtuse angle Obtuse: one obtuse angle Right: one right angle Right: one right angle Equiangular: all angles congruent Equiangular: all angles congruent

BIGGEST THING ABOUT TRIANGLES All angles must equal 180 degrees! All angles must equal 180 degrees! Exterior angle = to the sum of the two remote interior angles Exterior angle = to the sum of the two remote interior angles

Chapter 3 Polygons The sum of the measures of the angles of a polygon is (n – 2)180 The sum of the measures of the angles of a polygon is (n – 2)180 The sum of the measures of the exterior angles of a polygon is always 360 The sum of the measures of the exterior angles of a polygon is always 360 A regular polygon is equiangular and equilateral A regular polygon is equiangular and equilateral