Question

Given P and Q as below, write the statement ~Q→~P P:m∠B=m∠CQ: ∠B is congruent to ∠C ?

Answer 1

The statement ~Q→~P can be rewritten as P→Q, which means if ∠B is congruent to ∠C, then m∠B = m∠C.

Step-by-step explanation:

The given statement is ~Q→~P.

P: m∠B = m∠C

Q: ∠B is congruent to ∠C

To determine the truth value of the statement ~Q→~P, we can use the contrapositive rule in logic.

1. The contrapositive of a conditional statement ~Q→~P is P→Q.
2. We can rewrite P and Q as:

• P: ∠B is congruent to ∠C
• Q: m∠B = m∠C

Therefore, the contrapositive of ~Q→~P is P→Q, which means if ∠B is congruent to ∠C, then m∠B = m∠C.

In conclusion, the statement ~Q→~P can be rewritten as P→Q, which means if ∠B is congruent to ∠C, then m∠B = m∠C.