Refer to the following figure-D and C are equidistant from O- If any point P is is located such that ODP is congurent to OCP- then P lies on theA- Altitude of - DOC to side DC-B- Perpenidicular bisector of - D O CC- None of theseD- Angular bisector of - D O C

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Deducing Congruent Parts of Congruent Triangles

Refer to the ...

Question

Refer to the following figure:

D and C are equidistant from O.

If any point P is is located such that $△ O D P$ is congurent to $△ O C P$ , then P lies on the ________.

Perpenidicular bisector of ∠DOC

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Altitude of ΔDOC 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 $△ O D P$ is congurent to $△ O C P$ .

Then by C.P.C.T., $∠ D O P$ = $∠ C O P$

i.e. OP is the angular bisector of $∠ D O C$ .

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Similar questions

Refer to the following figure:

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If any point P is is located such that $△$ ODP is congurent to $△$ OCP, then P lies on the ________.

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If any point P is located such that $△ O D P$ is congurent to $△ O C P$ , then P lies on the ________.

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If any point P is located such that $△$ ODP is congurent to $△$ OCP, then P lies on the ________.

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

The correct option is C Angular bisector of ∠DOC Given △ODP is congurent to △OCP. Then by C.P.C.T., ∠DOP = ∠COP i.e. OP is the angular bisector of ∠DOC.

Refer to the following figure:

D and C are equidistant from O.

If any point P is is located such that $△ O D P$ is congurent to $△ O C P$ , then P lies on the ________.

The correct option is C
Angular bisector of ∠DOC

Given $△ O D P$ is congurent to $△ O C P$ .

Then by C.P.C.T., $∠ D O P$ = $∠ C O P$

i.e. OP is the angular bisector of $∠ D O C$ .