In the following figure- D and C are equidistant from O- If any point P is located such that ODP is congurent to OCP- then P lies on theA- Perpendicular bisector of - DOCB- Altitude of DOC to side DCC- Angular bisector of - DOCD- None of these

The correct option is C Angular bisector of ∠ DOC Given that, nbsp; nbsp; ODP ≅ OCP. ∴ ∠ DOP = ∠ COP. [∵ CPCT] ∴ nbsp;OP is the angular bisector of ∠ DO ...

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Standard VI

Mathematics

Construction of an Angle Bisector

In the follow...

Question

In the following figure, D and C are equidistant from O.
If any point P is located such that $△$ ODP is congurent to $△$ OCP, then P lies on the ________.

Perpendicular bisector of $∠$ DOC

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Altitude of $△$ DOC to side DC

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Angular bisector of $∠$ DOC

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None of these

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Solution

The correct option is C
Angular bisector of $∠$ DOC

Given that, $△$ ODP $≅$ $△$ OCP.
$∴$ $∠$ DOP = $∠$ COP. [ $∵$ CPCT]
$∴$ OP is the angular bisector of $∠$ DOC.

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In the following figure, D and C are equidistant from O. If any point P is located such that △ ODP is congurent to △ OCP, then P lies on the ________.

The correct option is C Angular bisector of ∠ DOC Given that, △ ODP ≅ △ OCP. ∴ ∠ DOP = ∠ COP. [∵ CPCT] ∴ OP is the angular bisector of ∠ DOC.

In the following figure, D and C are equidistant from O.
If any point P is located such that $△$ ODP is congurent to $△$ OCP, then P lies on the ________.

The correct option is C
Angular bisector of $∠$ DOC

Given that, $△$ ODP $≅$ $△$ OCP.
$∴$ $∠$ DOP = $∠$ COP. [ $∵$ CPCT]
$∴$ OP is the angular bisector of $∠$ DOC.