Math, asked by SaniyaShaikh2006, 1 month ago

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Answered by Anonymous
5

{\large{\pmb{\sf{\underline{RequirEd \; Solution...}}}}}

{\pmb{\sf{\underline{Question...}}}}

You have to proof that the given triangle's are congruent. And you have to write all the steps with reason.

{\pmb{\sf{\underline{Triangles...}}}}

The both triangles are in attachment

{\pmb{\sf{\underline{Given \: that...}}}}

YXZ and MNL are two triangle's

Angle X measures 100°

Angle L measure 100°

Angle Y measures 50°

Angle M measures 50°

Line segment XY measure 4.8

Line segment ML measure 4.8

{\pmb{\sf{\underline{Using \: concept...}}}}

Congruence rules

{\pmb{\sf{\underline{Using \: rules...}}}}

AAS congruence rule

  • AAS stands for angle angle side. AAS congruence rule is applied when two triangles are congruent if any two pair of angles and a pair of corresponding sides are equal.

{\pmb{\sf{\underline{Let's \: prove...}}}}

~ As that's all given that,

⟹ YXZ and MNL are two triangle's

⟹ Angle X measures 100°

⟹ Angle L measure 100°

⟹ Angle Y measures 50°

⟹ Angle M measures 50°

⟹ Line segment XY measure 4.8

⟹ Line segment ML measure 4.8

~ Now let's use the all above information to prove that the both triangle's are congruent to each other. Let's do it!

⟹ X = L (100°)

⟹ Y = M (50°)

⟹ XY = ML (4.8 = length)

Henceforth, proved by AAS congruence rule that the triangles are congruent to each other that is YXZ MNL

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