Math, asked by 88041669, 11 months ago

Jermaine knows that Triangle Q R S and Triangle F G H each have two sides that are 9 mm long. What statement best describes the two triangles?
A). The two triangles are congruent because there are two pairs of congruent corresponding sides.
B). The two triangles are congruent because both triangles are isosceles with 9 mm sides.
C). The two triangles may be congruent, but additional measurements are needed. D). The two triangles may be congruent, but additional information is needed about the orientation of the figures.

Answers

Answered by crockfordmercedez
8

Answer:

The two triangles are congruent because there are two pairs of congruent corresponding sides.

The answer is A.

Step-by-step explanation:

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Answered by pinkypearl301
1

Answer:

Given: Jermaine knows that Triangle Q R S and Triangle F G H each have two sides that are 9 mm long.

To find: What statement best describes the two triangles

Solution: The correct option is (C). The two triangles may be congruent, but additional measurements are needed.

Step-by-step explanation:

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

Thus, both the triangles which are  QRS and FGH becomes the isosceles triangles, given in the picture below

Now, in order to prove that ΔQRS≅ΔFGH, we require more measurements as only congruency can be proved only by these

  • SAS,
  • SSS,
  • ASA or
  • AAA

that is by using all the three sides of triangle or by using two sides  that is one angle or by using two angles and one side or by using all the three angles.  ( given in pic)

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

Hence,  option (C) is correct.

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