R. D. Sharma Solutions for Chapter: Congruence, Exercise 3: EXERCISE

In Figure, line segments $AB$ and $CD$ bisect each other at $O$. Is the given statement true?

$\Delta AOC\cong \Delta DOB$

State the three pairs of matching parts, you have used to arrive at the answer.

In Figure, line segments $AB$ and $CD$ bisect each other at $O$. Is the given statement true?

$\Delta AOC\cong \Delta BOD$

State the three pairs of matching parts, you have used to arrive at the answer.

In Figure, line segments $AB$ and $CD$ bisect each other at $O$. Is the given statement true?

$\Delta AOC\equiv \Delta ODB$

State the three pairs of matching parts, you have used to arrive at the answer.

 In Figure,  $AB=AD$ and $\angle BAC=\angle DAC$ 

Complete the following, to make the statement true:

$\angle ABC=$_____

 In Figure, $AB=AD$ and $\angle BAC=\angle DAC$ 

Complete the following, to make the statement true:

$\angle ACD=$_____

In Figure, $AB\parallel DC$ and $AB=DC$. Is $∆ACD\cong ∆CAB$ ?

In the given figure, $AB\parallel DC$, $AB=DC$, $\angle ACB=x$ and $\angle BAC=y$.

What is the value of $\angle CAD$?

In Figure, $AB\parallel DC$ and $AB=DC$.

Does it follow that $AD\parallel BC$? Give your answer either Yes or No.