In a figure ,P and Q are two points on equal sides AB and AC an isosceles triangle ABC such that AP = AQ,rove that BQ = CF
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In a figure ,triangle ABC is an isosceles triangle in which AB=AC. If E and F be the midpoint of AC and AB respectively ,prove that BE=CF
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In triangle BFC and EBC,
BF=CE
Angle B = Angle C
BC=BC
Triangle BFC is congruent to Triangle ECB by SAS test Therefore, BE=CF (By cpct)
BF=CE
Angle B = Angle C
BC=BC
Triangle BFC is congruent to Triangle ECB by SAS test Therefore, BE=CF (By cpct)
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In triangle BPC and CQB,
BP=CQ
Angle B = Angle C
BC=BC
Triangle BPC is congruent to Triangle CQB by SAS test Therefore, BQ=CP (By cpct)
BP=CQ
Angle B = Angle C
BC=BC
Triangle BPC is congruent to Triangle CQB by SAS test Therefore, BQ=CP (By cpct)
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