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Two right triangles will be congruent under a variety of scenarios besides HL. One of which is the following:

If the hypotenuse and an acute angle of one right triangle are equal,respectively, to the hypotenuse and an acute angle of another, then the right triangles are congruent. (Use the two triangles below, mark them up and then
decide on which congruence theorem will prove that the two are congruent (SAS, SSS, ASA, AAS or HL).

Explain why this must be true.

Two Right Triangles Will Be Congruent Under A Variety Of Scenarios Besides HL One Of Which Is The Following If The Hypotenuse And An Acute Angle Of One Right Tr class=

Sagot :

Answer:

     

Step-by-step explanation:

 Both the triangles will be congruent by AAS property of congruence.

  It has been given in the question,

  • Hypotenuse and an acute angle of both the triangles are equal.
  • One angle of both the triangles measure 90°.

Property of congruence A-A-S (Angle-Angle-Side) states,

     "If two angles and a non-included side of one right triangle are equal to the corresponding angles and side of other triangle, then triangles will be congruent."

   Therefore, by the property of AAS property of congruence, given right triangles will be congruent.

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