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
Answer:
The two triangles are congruent because there are two pairs of congruent corresponding sides.
The answer is A.
Step-by-step explanation:
EDGE 2021
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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