Triangles Test

Result

Triangles Test - 2

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Question 1
1 / -0

In Δ"ABC and Δ"DEF, ∠"A = ∠"D and ∠"B = ∠"E. Which of the following statements is always true?

A
Both the triangles will be of the same size.

B
Both the triangles will be of the same shape.

C
Both the triangles will be of the same shape and size.

D
Nothing can be said about the shape or size of the two triangles.

Solution

In ΔABC and ΔDEF,
∠BAC = ∠EDF ….. (1)
∠B = ∠E ….. (2)

Also, ∠A + ∠B + ∠C = 180°
∠D + ∠E + ∠F = 180°[By angle sum property of triangle]

⇒ ∠A + ∠B + ∠C = ∠D + ∠E + ∠F
⇒ ∠C = ∠F [∵^∠A = ∠D and ∠B = ∠E]

If all the three angles of two triangles are equal, then the triangles have the same shape.