Transcript GEOMETRY REVIEW - Salesianum School
GEOMETRY REVIEW
Look how far we have come already!
Chapter 1 Terms
Points Lines Planes Coplanar Collinear Intersection Distance (length) Segments Rays Midpoint Congruent Bisector Angles Adjacent
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
Chapter 2
Properties of Equality and Properties of Congruence Midpoint Theorem Angle Bisector Theorem
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