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Are triangles △ABCtriangle, A, B, C and △DEFtriangle, D, E, F similar? To answer, try to map △ABCtriangle, A, B, C onto △DEFtriangle, D, E,

Home/Math/Are triangles △ABCtriangle, A, B, C and △DEFtriangle, D, E, F similar? To answer, try to map △ABCtriangle, A, B, C onto △DEFtriangle, D, E,

Are triangles △ABCtriangle, A, B, C and △DEFtriangle, D, E, F similar? To answer, try to map △ABCtriangle, A, B, C onto △DEFtriangle, D, E,

Question

Are triangles △ABCtriangle, A, B, C and △DEFtriangle, D, E, F similar? To answer, try to map △ABCtriangle, A, B, C onto △DEFtriangle, D, E, F using the interactive widget.

## Answers ( )

Answer:From three condition the it is proved that Δ ABC and Δ DEF are similar Triangles .Step-by-step explanation:Given as :

To Proof : Triangle Δ ABC and Triangle Δ DEF are similar

There are three methods for two Triangles to be similar

A ) SAS i.e side angle side

B ) AA i.e angle angle

C ) SSS i.e side side side

Now,

A)

If two triangle have a pair of equal corresponding angles and sides are proportional then triangle are similarSo, If in Δ ABC and Δ DEF

∠ B = ∠ Eand , =Then Δ ABC Δ DEF

I.e SAS similarity

B )

If two triangles have equal corresponding angles , then triangles are similar .So, If in Δ ABC and Δ DEF

∠ B = ∠ E and ∠ A = ∠ DThen Δ ABC Δ DEF

I.e AA similarity

C )

If two triangles have three pairs of corresponding sides proportional then triangles are similar .So, If in Δ ABC and Δ DEF

= =Then Δ ABC Δ DEF

I.e SSS similarity

Hence From three condition the it is proved that Δ ABC and Δ DEF are similar Triangles . answer