Question

Ch- Congruence
Plz answer both the questions
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Answer 1

Answer 1:

Given:

• ∆XYZ is an isosceles triangle. ( XY = XZ )
• XO is the bisector of angle X. ( angle YXO = angle ZXO )

To Prove:

∆XOY is congruent to ∆XOZ.

Proof:

In ∆XOY and ∆XOZ,

• XY = XZ ( given )
• angle YXO = angle ZXO ( XO bisects angle X )
• XO = XO ( common )

By SAS congruency criterion, ∆XOY is congruent to ∆XOZ.

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Answer 2:

Given:

• ∆XYZ is an isosceles triangle. ( XY = XZ )
• XO is the median of YZ. ( YO = ZO )

To Prove:

∆XOY is congruent to ∆XOZ.

Proof:

In ∆XOY and ∆XOZ,

• XY = XZ ( given )
• XO = XO ( common )
• YO = ZO ( XO is the median of YZ )

By SSS congruency criterion, ∆XOY is congruent to ∆XOZ.

Answer 2

Answer:

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