This set of Mathematics Aptitude Test for Class 9 focuses on “Figures on the Same Base and Between the Same Parallels”.

1. Two figures having the same area are always congruent.

a) True

b) False

View Answer

Answer: b

Explanation: As shown in diagram below, two figures have the same area but they are not congruent as they have different sides.

Explanation: As shown in diagram below, two figures have the same area but they are not congruent as they have different sides.

2. Which of the following option represents two figures which are on the same base and same parallels?

a)

b)

c)

d)

View Answer

Answer: a

Explanation: Two figures are said to be on the same base and the same parallels, if they have a common base and the vertices opposite to the common base of each figure lie on a line parallel to the base.

Figures 1 satisfies this condition as common base of them is DC and four vertices A, P, B and Q lies on line AQ which is parallel to base DC.

Explanation: Two figures are said to be on the same base and the same parallels, if they have a common base and the vertices opposite to the common base of each figure lie on a line parallel to the base.

Figures 1 satisfies this condition as common base of them is DC and four vertices A, P, B and Q lies on line AQ which is parallel to base DC.

**Sanfoundry Global Education & Learning Series – Mathematics – Class 9**.

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