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.

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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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