Given
To find: What additional information do you need to prove ΔNOP≅
ΔQSR?
Explanation:
It is given that,
That implies,
The given triangles can be said to be congruent using the rules,
1) SSS (side-side-side)
2) SAS (side-angle-side)
3) ASA (angle-side-angle)
4) AAA (angle-angle-angle)
Here, the sides
[tex]\begin{gathered} PO\cong SR \\ NO\cong QS \end{gathered}[/tex]
Then by using SAS congurence rule, the required additional information needed to prove ΔNOP≅ΔQSR is
[tex]\angle O\cong\angle S[/tex]
Hence, the answer is option D)
[tex]\angle O\cong\angle S[/tex]
