Question

using models and diagrams and using the converse to explain the pythagorean theorem and converse of the pythagorean theorem to solve problems 1 the diagram shows three squares that are joined at vertices to form a right triangle. which statement is true? a the sum of the areas of square q and square p is greater than the area of square r. b the sum of the areas of square q and square r is equal to the area of square p. c the sum of the areas of square q and square p is equal to the area of square r. d the sum of the areas of square q and square r is less than the area of square p.

Explanation:

The diagram shows three squares joined at vertices forming a right angle, which aligns with the Pythagorean theorem. This theorem states that in a right triangle, the sum of the areas of the squares on the two legs equals the area of the square on the hypotenuse. Here, Squares P and Q correspond to the legs, and Square R corresponds to the hypotenuse.

Answer:

C. The sum of the areas of Square Q and Square P is equal to the area of Square R.