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

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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.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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