Question

21. What additional information do you need to prove TriangleNOP=Triangle QSR?

Answer 1

Given

To find: What additional information do you need to prove ΔNOP≅

ΔQSR?

Step-by-step 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

`\begin{gathered} PO\cong SR \\ NO\cong QS \end{gathered}`

Then by using SAS congurence rule, the required additional information needed to prove ΔNOP≅ΔQSR is

`\angle O\cong\angle S`

Hence, the answer is option D)

`\angle O\cong\angle S`