Honors 2 5
This presentation is the property of its rightful owner.
Sponsored Links
1 / 6

Honors 2.5 PowerPoint PPT Presentation


  • 66 Views
  • Uploaded on
  • Presentation posted in: General

Honors 2.5. Students will prove theorems with perpendicular lines. Definitions. Perpendicular lines are 2 lines that intersect to form 4 right angles. the definition can be used as follows If JK is perpendicular (  ) to MN (written as JK  MN), then the numbered angle is a right angle.

Download Presentation

Honors 2.5

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


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

Presentation Transcript


Honors 2 5

Honors 2.5

Students will prove theorems with perpendicular lines


Definitions

Definitions

  • Perpendicular lines are 2 lines that intersect to form 4 right angles.

    • the definition can be used as follows

    • If JK is perpendicular () to MN (written as JK  MN), then the numbered angle is a right angle.

    • Converse which is ________________


Theorems

Theorems

  • Thm 2-4 If 2 lines are , then they form congruent adjacent () angles.

  • Thm. 2-5 If 2 lines form congruent adjacent angles, then the lines are perpendicular.

  • Thm. 2-6 If the exterior sides of 2 adjacent acute angles are , then the angles are complementary.


Try this

Try this

  • AB  CD. Use the diagram to classify each statement as true or false.

  • AB EF

  • CGB is a right angle

  • CGA is a right angle

  • m DBG = 90

  • EGC and EGA are complements

  • DGF is complementary to DGA

  • EGA is complementary to DGF

A

E

C

D

G

F

B


Practice always sometimes never

Practice Always, Sometimes, Never

  • The length of a segment is ____ negative.

  • A bisector of a segment is ___ a line.

  • A ray ____ has a midpoint.

  • AB and BA _____ denote the same ray.

  • Two intersecting lines ___ lie in exactly one plane.

  • When A and B are in a plane, AB is ____ in the plane.


Always sometimes never

Always, Sometimes, Never

  • Perpendicular lines ____ lie in the same plane.

  • Two lines are perpendicular iff they __ form congruent adjacent angles.

  • If the exterior sides of 2 adjacent angles are perpendicular, then the angles are __ supplementary.

  • If a pair of vertical angles are supplementary, the lines forming the angles are __ perpendicular.


  • Login