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GEOMETRY REVIEW - PowerPoint PPT Presentation

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GEOMETRY REVIEW

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  1. GEOMETRY REVIEW Look how far we have come already!

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

  3. 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

  4. 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.

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

  6. 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

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

  8. 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

  9. 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

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

  11. 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