1 / 24

Geometr!zzle is Everywh!zzLe

J- Kizzle and R-Fizzle Mr. Sal- Gizzle`s Class. Geometr!zzle is Everywh!zzLe. Ch1 Angle Addition Postulate. If P is in the interior of ∠RST , then m∠RST = m∠RSP + m∠PST . . Ch1 Segment Addition Postulate. If B is between A and C , then A B + B C = AC. Ch2 Perpendicular Postulate.

gayle
Download Presentation

Geometr!zzle is Everywh!zzLe

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. J-Kizzle and R-Fizzle Mr. Sal-Gizzle`s Class Geometr!zzleis Everywh!zzLe

  2. Ch1 Angle Addition Postulate • If Pis in the interior of ∠RST, then m∠RST= m∠RSP+ m∠PST.

  3. Ch1 Segment Addition Postulate • IfBisbetweenAandC, then AB+BC = AC

  4. Ch2 Perpendicular Postulate • If there is a line and a point not on the line then there is exactly one line through the point perpendicular to the given line.

  5. Ch2 Right Angles Congruence Theorem • All right angles are congruent. • ∠G ≅ to ∠Y

  6. Ch3 Parallel Postulate • If there is a line and a point not on the line then there is exactly one line through the point parallel to the given line.

  7. Ch3 Corresponding Angles Converse • If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent

  8. Ch4 Base Angles Theorem • If 2 sides of a triangle are congruent then the angles opposite them are congruent.

  9. Ch4 Triangle Sum Theorem • If two angles of a triangle are congruent, the sides opposite them are congruent.

  10. Ch5 Perpendicular Bisector Theorem • In a plane, if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

  11. Ch5 Triangle Inequality Theorem • The sum of the lengths of any 2 sides of a triangle is greater than the length of the third side. (A+ B > C,B+C>A, C+A>B)

  12. Ch6 Perimeter of Similar Polygons F E • If twopolygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths. • ( EF+ FH + HG + GE EF FH HG GE H G B A D C = = = = AB + BD + DC + CA AB BD DC CA

  13. Ch6 AA Similarity Postulate • If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar ▲ABC ~ ▲DEF

  14. Ch7 Pythagorean Theorem • A2 + B2 = C2

  15. Ch8 45-45-90 Triangle Theorem • In a 45-45-90 triangle the hypotenuse is 2 times as long as each leg. 45 X √2 x 45 x

  16. Ch8 Rhombus Corollary • A quadrilateral is a rhombus if and only if it has four congruent sides.

  17. Ch9 Translation Theorem • A translation is an isometry

  18. Ch9 Reflection Theorem • A reflection is an isometry

  19. Ch 10 Arc Addition Postulate • The measure of an arc formed by 2 adjacent arcs is the sum of the measures of the 2 arcs.

  20. Ch10 Theorem 10.3 • In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.

  21. Ch11 Area of a Rectangle • The area of a rectangle is the product of its base. • A = bh h b

  22. Ch11 Area of A Square Postulate • The area of a square is the square of the length of its side or • A = S2

  23. Ch12 Euler’s Theorem • F + V = E + 2 • 6 + 8 = 12 + 214 = 14

  24. Ch12 Volume of A Cube • the volume of a Cube is the cube of the length of its side or V=S^3

More Related