“If two sides of a triangle are congruent then it’s two angles are
congruent.” write it's converse, inverse, contrapositive and the negation of the implications
Answers
Step-by-step explanation:
converse:-If areas of two triangles are equal, then they are congruent.
inverse:- If two triangles are not congruent, then their areas are not equal.
contrapositive:- If areas of two triangles are not equal, then they are not congruent.
Answer:
For the statement
If two sides of a triangle are congruent, then its two angles are congruent,
the converse, inverse, contra positive and the negation of implications are respectively:
If two angles of a triangle are congruent, then its two sides are congruent,
If two sides of a triangle are not congruent , then its two angles are not congruent,
If two angles of a triangle are not congruent, then its sides are not congruent,
And
Two sides of a triangle are congruent and its two angles are not congruent
Step-by-step explanation:
Given the statement
If two sides of a triangle are congruent, then its two angles are congruent
Converse of the statement:
If a statement conditon is given as p > q
Then, its converse is, q >p
That is, the statement becomes
If two angles of a triangle are congruent, then its two sides are congruent.
Inverse of the statement :
In inverse if p does not happen, then q also does not happen
That is, statement becomes
If two sides of a triangle are not congruent , then its two angles are not congruent
Contrapositive of the statement :
In contrapositive, if q does not happen, then p does not happen
That is,
If two angles of a triangle are not congruent, then its sides are not congruent
The negation of the implication
When a statement with if P, then Q is considered , the negation of implication is
p and not q
That is,
Two sides of a triangle are congruent and its two angles are not congruent