Question

Given: Right triangles CES and RST. In two or more complete sentences, explain what additional information is needed to prove triangle CES congruent to triangle RST.

Answer 1

You know one angle is 90 degrees because they are right triangles. In order to prove CES congruent to RST, you would need two legs, three angles, or a leg and an included angle.

Answer 2

Answer:

Given ,

Angle CES=90°

Angle RST=90°

Required additional information for proving triangle  CES congruent triangle RST :Hypotenuse of both triangles are equal.

Corresponding perpendicular arm are equal of both triangle .

Step-by-step explanation:

Given , CES and RST  are right angled triangles.It means both triangles are right angled triangles.

Right angled triangle means that type of triangle in which one angle is 90° , and follow pythogorous theorem.

Therefore , we have only one information that is one angle of both triangle is 90°.

If we prove that  triangle CES congruent  to trianngle RST by congruent property RHS (Right angle , hypotenuse and perpendicular side ).

Then, we required two more information about given triangles

First information is corresponding hypotenuse of both triangles are equal.

Second information is corresponding perpendicular arm of both triangles are equal.

Hence, this is required additional information about given triangles CES and  RST.