Area of Polygons

Choose the best answer.

1. Area is
the negative space inside a polygon.
a positive number representing the interior space of a polygon.
all the space on a plane.
no space at all.

2. Two congruent figures have
equal areas.
disproportional perimeters.
no congruent parts.
dissimilar shapes.

3. The area of the figure below is the sum of which areas?
area of polygon
triangleABH + CDEH + triangleHFG + triangleCEH
triangleABH + triangleCDE + triangleHFG
triangleABH + triangleCDE + triangleHFG + triangleCEH
triangleABH + CDEH + triangleHFG + triangleAHG

4. If two triangles are similar, the ratio of their areas is
equal to the ratio of the lengths of any corresponding sides.
two times the ratio of the lengths of any corresponding sides.
equal to the square of the ratio of the lengths of any corresponding sides.
It cannot be determined.

5. An apothem
extends from the opposite side of a polygon.
bisects the side of a polygon to which it is drawn.
is drawn to a vertex of a polygon.
forms half of a central angle.

Circle whether the statements below are true or false.

6. A rhombus with opposite sides that measure 5 feet has the same area as a square with opposite sides that measure 5 feet.
True
False

7. A rectangle with opposite sides that measure 5 feet and 10 feet has the same area as a parallelogram with opposite sides that measure 5 feet and 10 feet.
True
False

8. A rectangle with opposite sides that measure 5 feet and 10 feet has twice the area of a square with opposite sides that measure 5 feet.
True
False

9. A parallelogram with opposite sides that measure 5 feet and 10 feet has twice the area of a rhombus whose height is equal to the height of the parallelogram and whose opposite sides measure 5 feet.
True
False

10. A triangle with a base of 10 and a height of 5 has a third the area of a trapezoid with base lengths of 10 and 20 and a height of 5.
True
False


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