Question

10. You are tasked to make a design of the flooring of a guest room using triangles. The available materials are
square tiles. How are you going to make the design?

A. Applying triangle congruence by ASA
B. Applying triangle congruence by SAS
C. Applying triangle congruence by SSS
D. Applying triangle congruence by AAS​

Please answer it with explanation on why that is your answer.

Answer 1

Given :- You are tasked to make a design of the flooring of a guest room using triangles. The available materials are

square tiles. How are you going to make the design ?

A. Applying triangle congruence by ASA

B. Applying triangle congruence by SAS

C. Applying triangle congruence by SSS

D. Applying triangle congruence by AAS

Answer :-

from image, we have, ABCD is a square and diagonal AC divides the square into two triangles .

so, in ∆ABC and ∆CDA we have,

→ AB = CD (opposite sides of square are equal.)

→ ∠ABC = ∠CDA (Each angle of square is equal to 90°.)

→ BC = DA (opposite sides of square are equal.)

then,

→ ∆ABC ≅ ∆CDA (By SAS congruence rule.)

therefore, we can conclude that, we can make the design by applying triangle congruence by SAS . (Option B.)

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