alexanderwilliams52
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Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can represent the area of the polygon For each statement, determine if "Yes, it is a possible decomposition" or "No, Is it not a possible decomposition and explain your reasoning.

Statement A: the area of triangle GHL plus of triangle HIJ

Statement B: the area of triangle GHK plus the area triangle HIK

Statement C: the area of triangle GHK plus the area of triangle ILK

Statement D: the area of triangle GHK plus the area of triangle ILK
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Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can represent the area of the polygon For class=

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adioabiola

The statements to determine the area of the polygon by division into triangles are evaluated as follows;

  • Statement A: the area of triangle GHL plus of triangle HIJ --No

  • Statement B: the area of triangle GHK plus the area triangle HIK --Yes

  • Statement C: the area of triangle GHK plus the area of triangle ILK. --No

  • Statement D: the area of triangle GHK plus the area of triangle ILK. --No

Polygons and Triangles

From the given description;

The polygon given can only be divided into two triangles if divided into triangles; GHK and HIK.

Hence, it follows that the area of triangle GHK plus the area triangle HIK is equivalent to the area of the given polygon.

Read more on Area of polygons;

https://brainly.com/question/17589084

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