# Activity 4: Prove YourselfProve by Converse of the Hinge Theorem. RGiven: ∠RSD ≅ ∠RDS, > SProve: m∠DRT

Activity 4: Prove Yourself
Prove by Converse of the Hinge Theorem. R

Solution:

From diagram,

<RSD = <RDS

DT> ST and DR = SR

RT = RT (common side

Now by using hinge theorem,

If two sides of one triangle are congruent, respectively, to two sides of a second triangle, and the included angle of the first triangle is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second.

So DT > ST

Then <DRT = <SRT

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