Two triangles EFG and HIJ are congruent. If the area of ΔEFG is 124 cm2, then…
2024
Two triangles EFG and HIJ are congruent. If the area of ΔEFG is 124 cm2, then the area of ΔHIJ will be:
- A.
124 cm2
- B.
248 cm2
- C.
62 cm2
- D.
31 cm2
Attempted by 9 students.
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Correct answer: A
Analysis of Congruence
Definition: Two triangles are congruent if they have the same size and the same shape.
Implication for Area: Because congruent triangles are identical in dimensions, their corresponding areas must be exactly the same.
If ΔEFG is congruent to ΔHIJ, then:
Area(ΔEFG) = Area(ΔHIJ)
Given that the Area(ΔEFG) = 124 cm², the Area(ΔHIJ) must also be 124 cm².