CTET PAPER II 2019 · PYQ · Triangle Congruence · easy
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
Answer
The correct answer is A: 1. By SAS congruence, triangle ABC ≅ triangle DEF (since AC=DF, ∠C=∠F, BC=EF). Therefore AB = DE, so 2x-1 = 5x-4 → 3 = 3x → x = 1.
A.1✓ Correct
B.2
C.3
D.4
Explanation
By SAS congruence, triangle ABC ≅ triangle DEF (since AC=DF, ∠C=∠F, BC=EF). Therefore AB = DE, so 2x-1 = 5x-4 → 3 = 3x → x = 1.
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