What additional information do you need to prove triangle NOP is congruent to triangle QSR?
Triangles NOP and QSR are shown. Sides OP and SR are marked as congruent. Sides NO and QS are also marked as congruent.
(1 point)
Responses
Line P N congruent to line S Q
Image with alt text: Line P N congruent to line S Q
Line N O congruent to line Q R
Image with alt text: Line N O congruent to line Q R
Angle P congruent to angle S
Image with alt text: Angle P congruent to angle S
Angle O congruent to angle S
Image with alt text: Angle O congruent to angle S
To prove triangle NOP is congruent to triangle QSR, you would need additional information about the congruence of either angles or sides. The options provided include:
1. Line PN congruent to line SQ
2. Line NO congruent to line QR
3. Angle P congruent to angle S
4. Angle O congruent to angle S
You would need to have at least one of these statements to prove the congruence of the triangles.
In order to prove triangle NOP is congruent to triangle QSR, we would need to know if any of the following additional information is given:
1. Any other pair of corresponding sides are congruent.
2. Any other pair of corresponding angles are congruent.
3. Any other congruent or parallel lines or line segments are present in the two triangles.
Without any additional information, it is not possible to definitively prove that triangle NOP is congruent to triangle QSR.