1. The area of a parallelogram is the product of its:
Answer:
Explanation:
Area of a parallelogram = Base x Height.
2. Triangles on the same base and between the same parallels have:
Answer:
Explanation:
Triangles on the same base and between the same parallels always have equal areas.
3. The height of a parallelogram is:
Answer:
Explanation:
The height is always perpendicular to the base, representing the shortest distance between the opposite sides.
4. If two triangles have equal areas, they must also have:
Answer:
Explanation:
Two triangles can have equal areas without necessarily having equal bases, heights, or angles.
5. If the base of a triangle is doubled keeping the height same, its area:
Answer:
Explanation:
Since Area = 1/2 x Base x Height, doubling the base doubles the area.
6. In a parallelogram, if the base is 'b' and the height is 'h', its area is:
Answer:
Explanation:
The area of a parallelogram is the product of its base and height.
7. A triangle and a parallelogram have the same base and same height. If the area of the triangle is 'A', the area of the parallelogram is:
Answer:
Explanation:
The area of a triangle is half the product of its base and height. Thus, the parallelogram's area is double that of the triangle.
8. Which of the following can have the maximum area?
Answer:
Explanation:
For a given perimeter, a parallelogram can have a larger area than a triangle.
9. A rhombus is a type of:
Answer:
Explanation:
A rhombus is a special type of parallelogram with all sides equal.
10. If the base of a triangle is increased by 10% and height is decreased by 10%, the area:
Answer:
Explanation:
The net percentage change in area is 0% when base increases by 10% and height decreases by 10%.
11. The diagonals of a rectangle divide it into:
Answer:
Explanation:
The diagonals of a rectangle bisect each other and divide the rectangle into four congruent triangles.
12. If two parallelograms have the same base and are between the same parallels, they have:
Answer:
Explanation:
Parallelograms with the same base and between the same parallels have equal areas.
13. The formula to find the area of a triangle when its semi-perimeter and lengths of its three sides are known (Heron's formula) is:
Answer:
Explanation:
Heron's formula gives the area of a triangle as √s(s-a)(s-b)(s-c) where s is the semi-perimeter.
14. The ratio of the areas of two similar triangles is equal to the square of the ratio of their:
Answer:
Explanation:
If the ratio of the sides of two similar triangles is k, then the ratio of their areas is k^2.
15. If the corresponding altitudes of two similar triangles are in the ratio 3:4, the ratio of their areas is:
Answer:
Explanation:
The areas of similar triangles are proportional to the squares of the corresponding altitudes. So, their area ratio is same as that of their altitudes.
16. The area of a triangle with base 'b' and height 'h' is:
Answer:
Explanation:
The formula for the area of a triangle is 1/2 multiplied by the product of its base and height.
17. If a parallelogram and a rectangle have the same base and area, they also have the same:
Answer:
Explanation:
If they have the same base and same area, their height must also be the same.
18. The height of a parallelogram is 6 cm and its base is 8 cm. Its area is:
Answer:
Explanation:
Area = Base x Height = 6 cm x 8 cm = 48 cm^2.
19. The area of a triangle will be zero if its:
Answer:
Explanation:
A triangle's area is 1/2 × Base × Height. If height is zero, the area will also be zero.
20. Which of the following figures has the least area for a given perimeter?
Answer:
Explanation:
Among all the shapes with a given perimeter, a circle has the maximum area.