1 / 29

Chapter 3 Review

Chapter 3 Review. Skew lines are noncoplanar lines that are neither parallel nor intersecting. F. G. Parallel planes are planes that do not intersect. F. E. G. H. D. C. A. B. plane HEFG. ????. plane ADBC. plane HEDA. ????. plane GFBC. plane EFCD. plane HGBA. ????. t.

bruno
Télécharger la présentation

Chapter 3 Review

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. Chapter 3 Review

  2. Skew lines are noncoplanar lines that are neither parallel nor intersecting. F G

  3. Parallel planes are planes that do not intersect F E G H D C A B plane HEFG ???? plane ADBC plane HEDA ???? plane GFBC plane EFCD plane HGBA ????

  4. t A transversal is a line that intersects two or more coplanar lines in a different point. m k NOTE: t is the transversal of line m and k

  5. Classify the following angle pairs: 2 1 4 3 <10 and <13 AI 8 7 6 5 <8 and <6 CA 10 12 9 11 16 15 13 14 <15 and <14 CA <7 and <6 SSI <15 and <11 AI <4 and <16 Not related <10 and <11 SSI

  6. Postulate If two parallel lines are cut by a transversal, then correspondingangles are congruent. 2 4 1 3 8 7 6 5

  7. Theorem If two parallel lines are cut by a transversal, then alternate interiorangles are congruent. 2 4 1 3 8 7 6 5

  8. Theorem If two parallel lines are cut by a transversal, then same side interior angles are supplementary. 2 4 1 3 8 7 6 5

  9. Theorem If a transversal is perpendicular to one of the two parallel lines, then it is perpendicular to the other one also. 2 4 1 3 8 7 6 5

  10. Theorem In a plane two lines perpendicular to the same line are parallel. t m n

  11. Theorem Two lines parallel to a third line are parallel to each other. m n p If and THEN

  12. TYPES OF TRIANGLES – Classification by sides • Scalene – no sides congruent.

  13. TYPES OF TRIANGLES – Classification by sides • Isosceles– At least two sides congruent.

  14. TYPES OF TRIANGLES – Classification by sides • Equilateral – all sides are congruent.

  15. TYPES OF TRIANGLES – Classification by angles • Acute – three acute angles.

  16. TYPES OF TRIANGLES – Classification by angles • Obtuse – one obtuse angle.

  17. TYPES OF TRIANGLES – Classification by angles • Right – one right angle

  18. TYPES OF TRIANGLES – Classification by angles • Equiangular – all angles are congruent

  19. THEOREM • The sum of the measures of the angles of a triangle is 180

  20. Corollary • If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.

  21. Corollary • Each angle of an equiangular triangle has measure of 60 degrees.

  22. Corollary • In a triangle, there can be at most one right angle or obtuse angle.

  23. Corollary • The acute angles of a right triangle are complementary.

  24. Exterior Angle Theorem • The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles.

  25. A regular polygon is both equiangular and equilateral website

  26. The sum of the measures of the angles of a convex polygon is (n-2)180 Where n is the number of sides. EXAMPLE: Find the sum of the measures of the angles of a nonagon. (9-2)180 (7)180 1260

  27. The measure of each interior angle of an equiangular polygon is Where n is the number of sides Find the measure of each interior angle of a regular octagon.

  28. The sum of the measures of the exterior angles of a convex polygon (one at each vertex) is 360

  29. The measure of each exterior angle of an equiangular polygon is Where n is the number of sides Find the measure of each exterior angle of a regular octagon.

More Related