First slide

Introduction to mathematical reasoning

Question

$T h e c o n t r a p o s i t i v e o f t h e s t a t e m e n t “ I f t w o t r i a n g l e s a r e c o n g r u e n t t h e n t h e y a r e s i m i l a r ” i s$

Easy

A

If two triangles are similar, then they are congruent
B

If two triangles are not congruent, then they are not similar
C

If two triangles are not similar, then they are not congruent
D

If two triangles are similar, then they are not congruent

Solution

$T h e c o n t r a p o s i t i v e s t a t e m e n t o f p \to q i s ~ q \to ~ p$

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