In a school, the area of Hall 1 equals the area of Hall 2. The area of Store A equals the area of Store B. A small store of equal area is built next to each hall: Store A beside Hall 1 and Store B beside Hall 2. By which axiom are the combined areas (Hall 1 + Store A) and (Hall 2 + Store B) equal?

Question

Accepted Answer

If equals are added to equals, the wholes are equal. Hall1 = Hall2 and StoreA = StoreB. Adding equal store areas to equal hall areas keeps the wholes equal: Hall1+StoreA = Hall2+StoreB.

In a school, the area of Hall 1 equals the area of Hall 2. The area of Store A equals the area of Store B. A small store of equal area is built next to each hall: Store A beside Hall 1 and Store B beside Hall 2.
By which axiom are the combined areas (Hall 1 + Store A) and (Hall 2 + Store B) equal?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Euclid's Axioms practice

In a school, the area of Hall 1 equals the area of Hall 2. The area of Store A equals the area of Store B. A small store of equal area is built next to each hall: Store A beside Hall 1 and Store B beside Hall 2.By which axiom are the combined areas (Hall 1 + Store A) and (Hall 2 + Store B) equal?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Euclid's Axioms practice

In a school, the area of Hall 1 equals the area of Hall 2. The area of Store A equals the area of Store B. A small store of equal area is built next to each hall: Store A beside Hall 1 and Store B beside Hall 2.
By which axiom are the combined areas (Hall 1 + Store A) and (Hall 2 + Store B) equal?