Answer:
Applying mid point theorm, △MQR≅△PNS
Step-by-step explanation
As there are all midpoints in the problem, we will try using midpoint theorm.
<em>Mid point theorm states that, when the two midpoints of a triangle are joined, the corresponding side is parallel to third side and is half the length of third side.</em>
As given in the figure, join the points to construct triangle.
Let side MR be x, MQ be y and QR be z.
<em>In triangle ABC, applying mid point theorm, BC =
.</em>
<em>Again in triangle BCD applying mid point theorm, PS =
.</em>
<em>In triangle ADC, applying mid point theorm, DC =
.</em>
<em>Again in triangle BDC applying mid point theorm, NS =
.</em>
<em>In triangle ABD, applying mid point theorm, BD =
.</em>
<em>Again in triangle BCD applying mid point theorm, NP =
.</em>
Thus, corresponding 3 sides are equal and, △MQR≅△PNS