1 / 4

Definitions and Biconditional Statements

Definitions and Biconditional Statements. Geometry Chapter 2, Section 2. Notes. Perpendicular Lines: lines that intersect to form a right angle Example: ceiling tiles

oshin
Download Presentation

Definitions and Biconditional Statements

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. Definitions and Biconditional Statements Geometry Chapter 2, Section 2

  2. Notes • Perpendicular Lines: lines thatintersect to form a right angle • Example: ceiling tiles • A line perpendicular to a plane intersects the plane at a single point and is perpendicular to every line in the plane that it intersects. • ┴ this symbol is read “ is perpendicular to”

  3. Special Property of definitions: all definitions can be interpreted forward and backwards, i.e. the statement of the definition and its converse are both true. • If two lines are ┴ each other, then they intersect to form a right angle, and • If two lines intersect to form a right angle, then the two lines are ┴. • On Your Own: Write the converse of the definition of congruent segments. • If segments are congruent, then they have the same length. • Converse: ____________________________ • Is the statement and its converse true? Explain why or why not_________________________

  4. When the original statement and its converse are both true, we can show this by using the phrase “if and only if” which can be abbreviated iff. • Two lines are ┴ to each other iff they intersect to form right angles. • This type of statement is called a biconditional statement. • On Your Own: Write the biconditional of the definition of congruent segments. • ______________________________________ • For a biconditional statement to be true, both the conditional statement and its converse must be true.

More Related