Question

Find the mathematical negation of this statement: Either triangle ABC is a right triangle, or quadrilateral DEFG is a square.

A. Triangle ABC is not a right triangle, and quadrilateral DEFG is not a square.
B. Triangle ABC is a right triangle, and quadrilateral DEFG is a square.
C. Triangle ABC is not a right triangle, or quadrilateral DEFG is not a square.
D. Triangle ABC is a right triangle, or quadrilateral DEFG is a square.

Answer 1

The correct negation of 'Either triangle ABC is a right triangle, or quadrilateral DEFG is a square' is 'Triangle ABC is not a right triangle, and quadrilateral DEFG is not a square,' which corresponds to option A.

Step-by-step explanation:

The mathematical negation of the statement 'Either triangle ABC is a right triangle, or quadrilateral DEFG is a square' involves negating each individual part of the statement and changing the logical connector from 'or' to 'and.' The correct negation of the statement would therefore be 'Triangle ABC is not a right triangle, and quadrilateral DEFG is not a square.' This gives us the option A as the correct answer.