Question

explain why ∆BAC≅∆BAT​

Answer 1

Answer:

by using SAS theorm

Step-by-step explanation:

bac is equal to bat where bc=bt by SAS theorm ( side angle side ) BAC=BAT

Answer 2

$\Large{\underbrace{\underline{\sf{Understanding\; the\; Question}}}}$

Here in this question, concept of congruency rule is used. We have given 2 triangles as congruent and we have to find which congruency rule is used. We can find the used congruency rule by identifying the similarity in both triangles.

So let's start!!

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Given:

• ∠BAC=90°

• BAT=90°

• AC=AT

• ∆ BAC≅∆BAT

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To Find:

• Congruency rule used to prove both triangles congruent

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Solution:

In ∆BAC and ∆BAT

AC = AT (Given)

∠BAC = ∠BAT ( as each is 90°)

AB = AB (Common)

Hence ∆ BAC≅BAT (By SAS)

So the required answer is SAS congruency rule.

NOTE→ Congruency rule should be applied in order of which similarity come.

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More congruency rules:-

• ASA→ Angle, side, Angle

• RHS→ Right angle, hypotenuse, Side

• SSS→ Side, Side, Side

• AAS→ Angle,Angle,Side

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