Area concepts of polygons

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area

the measure of the space inside a geometric figure.

region

the space inside and including the sides of a figure.

If the area of each of the triangular regions is as shown, what is the area of the polygon?

31 32<--- answer 33

If triangle RST is congruent to triangle WXY and the area of triangle WXY is 20 square inches, then the area of triangle RST is 20 in.²

TRUE

The diagonals of a rhombus divide it into four triangles of equal area

TRUE

two equilateral triangles have equal perimeters, they must also have equal areas?

TRUE

If the area of each of the triangular regions is as shown, what is the area of the polygon?

8 14 16 <--- answer

If the area of each of the triangular regions is as shown, what is the area of the polygon?

A. 12 B. 15 C. 18 ANSWER 15

A rectangle and a triangle with the same base and height have the same area.

FALSE

Geometry would not be used to check a foundation during construction.

FALSE

If two polygons have the same area, they must have the same number of sides.

FALSE

If two triangles have the same area, they must be congruent

FALSE

If the area of each of the triangular regions is as shown, what is the area of the polygon?

18

When a diagonal is drawn in a rectangle, what is true of the areas of the two triangles into which it divides the rectangle?

They are equal


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