Refer to 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- angular bisector of - ODPB- altitude of DOC to side DCC- angle bisector of - DOCD- None of the above

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Construction of an Angle Bisector

Refer to the ...

Question

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

angular bisector of

∠ O D P

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altitude of

△ D O C

to side DC

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angle bisector of

∠ D O C

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None of the above

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Solution

The correct option is C angle bisector of $∠ D O C$
Given, $△ O D P ≅ △ O C P$ .
$∴ ∠ D O P = ∠ C O P$ (CPCT)
i.e. OP is the angular bisector of $∠ D O C$ .
$∴$ P lies on the angular bisector of $∠ D O C$ .

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Refer to 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 angle bisector of ∠DOCGiven, △ODP≅△OCP. ∴∠DOP=∠COP (CPCT) i.e. OP is the angular bisector of ∠DOC. ∴ P lies on the angular bisector of ∠DOC.

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

The correct option is C angle bisector of $∠ D O C$
Given, $△ O D P ≅ △ O C P$ .
$∴ ∠ D O P = ∠ C O P$ (CPCT)
i.e. OP is the angular bisector of $∠ D O C$ .
$∴$ P lies on the angular bisector of $∠ D O C$ .