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## PowerPoint Slideshow about ' Honors 2.5' - alessa

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### 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.
- Converse which is ________________

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

- 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

- 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

- 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.

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