triangle MNP is formed by arranging three squares.   Which statement must be true for triangle MNP to be a right triangle?     A The sum of the areas of squares A and B is equal to the area of square C.     B The sum of the perimeters of squares A and B is equal to the perimeter of square C.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A triangle MNP is formed by arranging three squares.

 

Which statement must be true for triangle MNP to be a right triangle?

 
 
A

The sum of the areas of squares A and B is equal to the area of square C.

 
 
B

The sum of the perimeters of squares A and B is equal to the perimeter of square C.

 
 
C

The sum of the perimeters of squares A and B is equal to twice the perimeter of square C.

 
 
D

The sum of the areas of squares A and B is equal to twice the area of square C.

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