2 2 definitions and biconditional statements n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
2.2 Definitions and Biconditional Statements PowerPoint Presentation
Download Presentation
2.2 Definitions and Biconditional Statements

Loading in 2 Seconds...

play fullscreen
1 / 7

2.2 Definitions and Biconditional Statements - PowerPoint PPT Presentation


  • 116 Views
  • Uploaded on

2.2 Definitions and Biconditional Statements. Definition. Two lines are called perpendicular lines if they intersect to form a right angle. A line perpendicular to a plane is a line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it.

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

PowerPoint Slideshow about '2.2 Definitions and Biconditional Statements' - alaqua


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
definition
Definition
  • Two lines are called perpendicular lines if they intersect to form a right angle.
  • A line perpendicular to a plane is a line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it.
exercise
Exercise
  • Decide whether each statement about the diagram is true. Explain your answer using the definitions you have learned.
  • Points D, X, and B are collinear.
  • AC is perpendicular to DB.
  • <AXB is adjacent to <CXD.

.

A

.

.

D

X

B

.

C

biconditional statement
Biconditional Statement
  • Biconditional Statement
    • It is Saturday, only if I am working at the restaurant.
  • Conditional Statement
    • If it is Saturday, then I am working at the restaurant.
slide5
Consider the following statement

x = 3 if and only if x2 = 9.

    • Is this a biconditional statement?

Yes

    • Is the statement true?

No, because x also can be -3.

slide6
Rewrite the biconditional as conditional statement and its converse.
    • Two angles are supplementary if and only if the sum of their measures is 180°.
    • Conditional:

If two angles are supplementary, then the sum of their measures is 180°.

    • Converse:

If the sum of two angles measure 180°, then they are supplementary.

slide7
State a counterexample that demonstrates that the converse of the statement is false.
    • If three points are collinear, then they are coplanar.
    • If an angle measures 48°, then it is acute.