Question

(I NEED THIS ASAP PLEASE)Jermaine knows that QRS and FGH each have two sides that are 9 mm long. What statement best describes the two triangles?
1)The two triangles are congruent because there are two pairs of congruent corresponding sides.
2)The two triangles are congruent because both triangles are isosceles with 9 mm sides.
3)The two triangles may be congruent, but additional measurements are needed.
4)The two triangles may be congruent, but additional information is needed about the orientation of the figures.

Answer 1

the 3rd option because the angle between the two sides may be different in either triangle

Answer 2

Answer:

(C)The two triangles may be congruent, but additional measurements are needed.

Step-by-step explanation:

It is given that QRS and FGH each have two sides that are 9 mm long that is QR=QS=9mm and FG=FH=9mm.

Thus, both the triangles that are QRS and FGH becomes the isosceles triangles.

Now, in order to prove that ΔQRS≅ΔFGH, we require more measurements as congruency can be proved only by SAS, SSS, ASA or AAA that is by using all the three sides of triangle or by using two sides one angle or by using two angles and one side or by using all the three angles.

Therefore, we need remaining side or angle in order to prove that ΔQRS is congruent to ΔFGH.

Hence,  option (C) is correct.