In triangles ABC and DEF, ∠C = ∠F, AC = DF, and BC = EF. If AB = 2x - 1 and DE…
2019
In triangles ABC and DEF, ∠C = ∠F, AC = DF, and BC = EF. If AB = 2x - 1 and DE = 5x - 4, then the value of x is
- A.
1
- B.
2
- C.
3
- D.
4
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Correct answer: A
The given triangles have two corresponding sides and the included angle equal, so they are congruent by SAS. Hence AB = DE, so 2x - 1 = 5x - 4, giving 3 = 3x and x = 1.