111 Views

Download Presentation
## GEOMETRY REVIEW

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**GEOMETRY REVIEW**Look how far we have come already!**Points**Lines Planes Coplanar Collinear Intersection Distance (length) Segments Rays Midpoint Congruent Bisector Angles Adjacent Chapter 1 Terms**Chapter 1 Post.and Thms.**• Angle Addition • Segment Addition • Line (at least two points) • Plane (at least three points) • Space (at least four points) • One line through two points • 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 lines intersect in a point • If two lines intersect, one plane contains the lines. • Three noncollinear points make exactly one plane.**If-then Statements**Hypothesis Conclusion Converse Inverse Contrapositive Biconditional Counterexample Properties of Equality and Properties of Congruence Midpoint Theorem Angle Bisector Theorem Chapter 2**Chapter 2 Angles**• Vertical angles are congruent • Complementary angles = 90 • Supplementary angles = 180 • Acute angle < 90 • Obtuse angle > 90 • Straight angle = 180 • Right angle = 90**Chapter 2 Perpendicular Lines**• Lines that form 90 degree angles (right angles) • Always form congruent adjacent angles**Chapter 3**• Parallel Lines: are coplanar lines that do not intersect • AIAs • CAs • SSIAs • SSEAs • Skew lines: are noncoplanar lines • Transversal: a line that intersects two or more coplanar lines**Chapter 3 Triangles**• Scalene: no sides congruent • Isosceles: at least two sides congruent • Equilateral: all sides congruent • Acute: three acute angles • Obtuse: one obtuse angle • Right: one right angle • Equiangular: all angles congruent**BIGGEST THING ABOUT TRIANGLES**• All angles must equal 180 degrees! • 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 exterior angles of a polygon is always 360 • A regular polygon is equiangular and equilateral