# Extra Questions for Area of parallelograms & triangles

Given below is Area of parallelogram worksheet
a. Concepts questions
b. Calculation problems
c. Multiple choice questions
d. Long answer questions
e. Fill in the blank's

## Short Answer Type

Question 1
Which of the following figures lie on the same base and between the same parallels?
In such a case, write the common base and the two parallel

Solution
a. True.  With Base BC and between parallel AD and BC, Triangle QBC and parallelogram ABCD
b. True. With base DC or AB and between parallel DC and AB, triangles are present
c. True. Same as above
d. False
e. True. Same as a
f. False
g. True

## True and False

Question 2
True or False statement
(a) If two triangles area are same areas, they will be congruent
(b) Two triangles having the same base (or equal bases) and equal areas lie between the same parallels.
(c) The area of a triangle is equal to the product of any of its side and any altitude
(d) The median of the triangles divides the triangle into two triangles of equal areas
(e) Parallelograms on the same base and between same parallels have same perimeter
(f) In a parallelogram, diagonals divide the parallelogram into four equal triangles
Solution
1. False. Congruent triangles have equal areas but converse is not true
2. True.  Triangle area is (1/) X base X height. With same base and area, height should be equivalent, which means they lie on same parallel
3. False. It is corresponding base and corresponding altitude
4. True.
5. False. Area is same but perimeter can be different
6. True