Download presentation
Presentation is loading. Please wait.
1
A logic statement written in if-then form.
A conditional statement such as: If I get paid today, then I'll take you to the movies. If p, then q. The 'If' part of a conditional statement. Represented with the letter p The 'then' part of a conditional statement. Represented with the letter q When you give the opposite of a statement by adding the word 'not'. Represented with a single wavy line (~) ~p is read as 'not p'
2
The converse of a conditional statement is formed by
switching the hypothesis and conclusion. If q, then p. The inverse is formed by negating the hypothesis and conclusion of a conditional statement. If ~p, then ~q. The contrapositive of a conditional statement is formed by negating and reversing the order of the hypothesis and conclusion. If ~q, then ~p. Two statements that are either both true, or both false. Coplanar lines that form right angles. A statement formed with equivalent statements, where they're separated with the phrase 'if and only if'.
3
The hypothesis is generally written first, followed by the conclusion.
an animal is a vertibrate it has a backbone
4
If a figure is a triangle,
then it has 3 sides. If x = 2, then x2 = 4.
5
The conditional statement and contrapositive will ALWAYS
have the same truth value. The converse and inverse will ALWAYS have the same truth value. If you are an Olympian, then you are an athlete. True, Olympians are athletes. If you are an athlete, then you are an Olympian. False, not all athletes are Olympians. If you are not an Olympian, then you are not an athlete. False, even if you are not an Olympian, you can still be an athlete. If you are not an athlete, then you are not an Olympian. True, a person who is not an athlete cannot be an Olympian.
6
right right
7
true right perpendicular false adjacent linear pair
8
If two lines are parallel, then the lines lie in the
same plane and do not intersect. Two lines are parallel, if and only if, they lie in the same plane and do not intersect.
9
Conditional: If a figure is a square, then the figure is a rectangle
Conditional: If a figure is a square, then the figure is a rectangle. TRUE Converse: If a figure is a rectangle, then the figure a square. FALSE Inverse: If a figure is not a square, then the figure is not a square. FALSE Contrapositive: If a figure is not a rectangle, then the figure is not a square. TRUE
10
A) True. They're a linear pair, which is supplementary.\
B) False. There's not enough info to say GJ is perpendicular to HK. A student is in group A, if and only if, the student is a boy.
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.