2 question 7 in picture :)

Answer:
The Proof is given below.
Step-by-step explanation:
Given:
M is the Mid Point of HS and GT
To Prove:
Δ GMH ≅ Δ TMS
Proof:
In Δ GMH and Δ TMS
M is the Mid Point of HS and GT ........{Given}
GM ≅ MT ....……….{ M is the Mid Point of GT }
HM ≅ SM …………..{ M is the Mid Point of HS }
∠ GMH ≅ ∠ TMS ....……….{ Vertical opposite angles are equal}
Δ GMH ≅ Δ TMS ..........….{ By Side-Angle-Side test} ...Proved