All the following are criteria for measuring the congruency of triangles except the _____.

Two triangles are congruent if they have

If $\Delta ABC\cong \Delta PQR,$ then AB is equal to ___.

In the figure, the two triangles are congruent. The corresponding parts are marked. Complete the congruent statement $\mathrm{Δ}RATâ‰\dots$  [1 MARK]

If $\mathrm{Δ}ABC$ and $\mathrm{Δ}PQR$ are to be congruent, name one additional pair of corresponding parts. Which criterion did you use? [2 MARKS]

In the given figure, prove that: [2 MARKS]
$\mathrm{Δ}ABDâ‰\dots \mathrm{Δ}ACD$

Prove that in the following kite, $\mathrm{Δ}ADC$ is congruent to $\mathrm{Δ}ABC$. Given that AD = AB and $\mathrm{âˆ}ADC$ = $\mathrm{âˆ}ABC$ = ${90}^{∘}$
[2 MARKS]
 

Which congruence criterion is used in the following?
Given: $\mathrm{âˆ}MLN=\mathrm{âˆ}FGH,\mathrm{âˆ}NML=\mathrm{âˆ}HFG,ML=FG$
So $\mathrm{Δ}LMNâ‰\dots \mathrm{Δ}GFH$  [2 MARKS]

In the given figure, $ABâˆ\yen CD$ and AB = CD.  [3 MARKS]

Prove that: (i) $\mathrm{Δ}AOBâ‰\dots \mathrm{Δ}DOC$
               
                 (ii) AO = DO
                 (iii) BO = CO

Prove that: [3 MARKS]

(i) $\mathrm{Δ}ABCâ‰\dots \mathrm{Δ}ADC$
(ii) $\mathrm{âˆ}B=\mathrm{âˆ}D$