Question

based on the information marked in the diagram, triangle mnp and triangle qrs must be congruent.

Explanation:

Step1: Recall congruence criteria

For right - angled triangles, we can use the AAS (Angle - Angle - Side) congruence criterion.
In \(\triangle MNP\) and \(\triangle QRS\):

• \(\angle M=\angle Q = 90^{\circ}\) (right angles)
• \(\angle P=\angle S\) (given as marked angles)
• \(NP = RS\) (given as marked sides)

Step2: Apply AAS criterion

Since two angles and a non - included side of \(\triangle MNP\) are equal to the corresponding two angles and a non - included side of \(\triangle QRS\), by the AAS congruence criterion, \(\triangle MNP\cong\triangle QRS\)

Answer:

True