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Tests for Congruency of Triangles

In ∆ABC, AD i...

Question

In ∆ABC, AD is the median and P is any point on AD such that AP:PD=1:3. Find the area of ∆ABP.

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State true or false:

In the given figure;

A D

△ A B C

E

is any point on median

A D

. Prove that Area

(△ A B E)

(△ A C E)

Q. Find the coordinates of the point P on AD such that AP : PD

=

Q. In the given figure; AD is median of

Δ A B C

and E is any point on median AD. If Area (

Δ A B E

x

Δ A C E

x

(5, 10)

(15, 15)

(5, 5)

are the coordinates of vertices A, B and C respectively of

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. Ratio of the areas of the triangles PBC and ABC is

Q. ABCD is parallelogram. P is a point on AD such that AP

= \frac{1}{3}

AD and Q is a point on BC such that CQ

= \frac{1}{3}

BC. Prove that AQCP is a parallelogram.

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Tests for Congruency of Triangles

Standard IX Mathematics

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