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Questions
If in ∆DEF and ∆PQR, ∠D ≅ ∠Q, ∠R ≅ ∠E then which of the following statements is false?
If in two triangles ∆DEF and ∆PQR, ∠D = ∠Q and ∠R = ∠E, then which of the following is not true?
Options
`("EF")/("PR") = ("DF")/("PQ")`
`("DE")/("PQ") = ("EF")/("RP")`
`("DE")/("QR") = ("DF")/("PQ")`
`("EF")/("RP") = ("DE")/("QR")`
`("EF")/("PR") = ("DF")/("PQ")`
Solution
`bb(("DE")/("PQ") = ("EF")/("RP"))`
Explanation:
In ∆DEF and ∆PQR
∠D ≅ ∠Q
∠E ≅ ∠R
By AA test of similarity,
∆DEF ~ ∆PQR
∴ `("DE")/("QR") = ("EF")/("RP") = ("DF")/("QP")` ...(Corresponding angles of triangles are proportional)
∴ `("DE")/("PQ") ≠ ("EF")/("RP")`
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