Refer to the following figure- D and C are equidistant from O- If any point P is located such that nbsp-ODP is congurent to nbsp-OCP- then P lies on the - angular bisector of - ODPaltitude of DOC to side DCangle bisector of - DOCNone of the above

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Constructing 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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

altitude of

△ D O C

to side DC

No worries! We‘ve got your back. Try BYJU‘S free classes today!

angle bisector of

∠ D O C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

None of the above

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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 $∠ D O C$ .

Suggest Corrections

Similar questions

Q. AB is a line segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See Figure). Show that the line PQ is perpendicular bisector of AB.

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 ________.

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 ________.

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 ________.

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 ________.

Join BYJU'S Learning Program

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 $∠ D O C$ .