Download presentation

Presentation is loading. Please wait.

Published byByron Loveland Modified over 2 years ago

1
(5-4) I NVERSES AND CONTRAPOSITIVES Learning Targets: To write the negation of a statement. To write the inverse and the contrapositive of a conditional statement. Purpose: Be able to recognize these special types of statements in a proof.

2
Example: Two angles are congruent. Two angles are not congruent. (5.4) Negation The negation of a statement has the opposite meaning of the original statement.

3
Example: Conditional: If a figure is a square, then it is a rectangle. Inverse: If it is not a square, then it is not a rectangle. (5.4) Inverse The inverse of a conditional statement negates both the hypothesis and the conclusion.

4
Example: Conditional: If a figure is a square, then it is a rectangle. Contrapositive: If it is not a rectangle, then it is not a square. (5.4) Contrapositive The contrapositive of a conditional statement switches the the hypothesis and the conclusion and negates both.

5
Example: Write the (a) the inverse and (b) contrapositive of Maya Angelou’s statement. (5.4) Contrapositive The contrapositive of a conditional statement switches the the hypothesis and the conclusion and negates both. “If you don’t stand for something, then you’ll fall for anything.”

6
Example: Identify the two statements that contradict each other. (When they both cannot be true at the same time. ) I. ABC is acute II. ABC is scalene III. ABC is equiangular (5.4) Identifying Contradictions A triangle can be acute and scalene. So I and II do not contradict each other. An equiangular triangle is an acute triangle. So I and III do not contradict each other. An equiangular triangle must be equilateral, so it cannot be scalene. II and III contradict each other.

7
HOMEWORK (5.4) Pgs. 283-284; 2-6 evens, 7-9 all and 16-19 all

Similar presentations

OK

What is an Isosceles Triangle? A triangle with at least two congruent sides.

What is an Isosceles Triangle? A triangle with at least two congruent sides.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on resistance temperature detector formula Ppt on what is critical whiteness theory Ppt on endangered species of plants and animals Ppt on bresenham's line drawing algorithm Ppt on meaning of learning Ppt on boilers operations with integers Ppt on new product design Ppt on health care system in india Ppt on dowry system in india-free download Ppt on biodegradable and non biodegradable definition