A teacher writes: AB = CD. A student adds the SAME segment PQ to AB to form AB + PQ, and adds PQ to CD to form CD + PQ. What is the correct conclusion and the supporting axiom?

Question

Accepted Answer

AB + PQ = CD + PQ, by adding equals to equals. AB = CD; adding the same PQ to both equals keeps them equal: AB + PQ = CD + PQ (if equals are added to equals, the wholes are equal).

A teacher writes: AB = CD. A student adds the SAME segment PQ to AB to form AB + PQ, and adds PQ to CD to form CD + PQ.
What is the correct conclusion and the supporting axiom?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Euclid's Axioms practice

A teacher writes: AB = CD. A student adds the SAME segment PQ to AB to form AB + PQ, and adds PQ to CD to form CD + PQ.What is the correct conclusion and the supporting axiom?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Euclid's Axioms practice

A teacher writes: AB = CD. A student adds the SAME segment PQ to AB to form AB + PQ, and adds PQ to CD to form CD + PQ.
What is the correct conclusion and the supporting axiom?