Write the contrapositive and converse of the following statement:
"You cannot comprehend geometry if you do not know how to reason deductively."

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The given statement is of the form "If $p$,then $q$",where $p$ is "You do not know how to reason deductively" and $q$ is "You cannot comprehend geometry".
The contrapositive of "If $p$,then $q$" is "If not $q$,then not $p$".
Here,not $q$ is "You can comprehend geometry" and not $p$ is "You know how to reason deductively".
Thus,the contrapositive is: "If you can comprehend geometry,then you know how to reason deductively."
The converse of "If $p$,then $q$" is "If $q$,then $p$".
Thus,the converse is: "If you cannot comprehend geometry,then you do not know how to reason deductively."

Explore More

Similar Questions

Consider the following statements:
$P$: $I$ have fever
$Q$: $I$ will take medicine
$R$: $I$ will take rest
The statement "If $I$ have fever,then $I$ will take medicine and $I$ will take rest" is equivalent to:

Write the contrapositive of the following statement:
If a triangle is equilateral,it is isosceles.

Simplify the Boolean function $(x \cdot y)+[(x+y') \cdot y]'$

Are the following pairs of statements negations of each other:
$1$. The number $x$ is a rational number.
$2$. The number $x$ is an irrational number.

If ${(p \wedge \sim q) \wedge (p \wedge r)} \rightarrow (\sim p \vee q)$ has a truth value of $False$,then the truth values of the statements $p, q, r$ are respectively:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo