CameraIcon

SearchIcon

MyQuestionIcon

698

You visited us 698 times! Enjoying our articles? Unlock Full Access!

Perpendicular Bisector

In the given ...

Question

In the given figure, it is given that AB = CD and AD = BC. Prove that ΔADC ≅ΔCBA.

Open in App

Solution

It is given that

We have to prove that.

Now in triangles and we have

(Given)

(Given)

So (common)

Each side of is equal to .

Hence, by congruence criterion we have Proved.

Suggest Corrections

thumbs-up

0

Similar questions

Q. In the figure, it is given that AB = CD and AD = BC. Prove that triangles ADC and CBA are congruent.

Q. In the given figure, it is given that AD = BC and AC = BD. Prove that ∠CAD = ∠CBD and ∠ADC = ∠BCD.

Q. In given figure,

D E | | B C

C D | | E F

{A D}^{2} = A B \times A F

Q. In the adjoining figure

A B = A D

C B = C D

△ A B C ≅ △ A D C

If PQ $∥$ BC and PR $∥$ CD in the given figure, then prove that $\frac{A R}{A D}$ = $\frac{A Q}{A B}$ .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Perpendicular Bisector

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Perpendicular Bisector

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon