Q.1. In a trapezium ABCD, if AB||CD, then which pair of angles are supplementary?
∠A and ∠D, ∠B and ∠C are supplementary pairs of angles.
Q.2. “Congruent trapeziums have unequal area”. Is this statement true?
No, because they have equal area.
Q.3. Write the condition that any trapezium should be an isosceles trapezium.
The condition that any trapezium should be an isosceles trapezium if and only if non-parallel sides of a trapezium are equal.
Q.4. Is it correct that every parallelogram is a trapezium?
No
Q.5. Is it true that sum of all the angles of a parallelogram and trapezium are equal?
Yes, we know that the sum of all angles of a quadrilateral is 360°.
Here, parallelogram and trapezium are quadrilateral.
Q.6. If we take any two points E and F on the line AS of trapezium ABCD such that AB||CD, then check whether the area of ΔCED and ΔCFD are equal.
We know that the area of two triangles on the same base and between two parallel lines’are equal. Here, CD is base, points E and F are on the parallel line AB, then area of triangles, ΔCED and ΔCFD are equal.
Q.7. How will you find the area of a parallelogram?
Area of parallelogram = Base x Altitude to the base
Q.8. Are the opposite angles of trapezium supplementary?
No, the opposite angles of a trapezium are not supplementary.
Q.9. How will you define a trapezium?
Trapezium is a quadrilateral in which one pair of opposite sides are parallel and the other pair of sides are non-parallel.
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