1 / 6

# Honors 2.5 - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Honors 2.5' - alessa

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

Students will prove theorems with perpendicular lines

• 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 ________________

• 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.

• 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

• 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.

• 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.