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Complete the following statement of congruence:

ANOM
O
R
OA ≅ ASRT
OB ≅ ASTR
OC ≅ ATSRO
OD ≅ ARTS

User Shweta
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7.6k points

1 Answer

5 votes

Final answer:

Only one provided statement directly includes the point O. Every point is congruent to itself by the reflexive property of congruence. Without more context, we cannot determine how many congruence statements involve point O.

Step-by-step explanation:

Regarding the completeness of the congruence statements involving the point O, only one of the provided statements includes the point O directly, which is ASRTO ⋅ SR ⋅ RO.

The other statements do not involve the point O.

Every point is congruent to itself due to the reflexive property of congruence.

In this context, the point that is congruent to itself isn't explicitly mentioned, but the point O, as in any other point, would be congruent to itself because of this property.

For the geometrical figures described, one must assume that these are referring to rotations and similar triangles in a coordinate system or a geometrical setup.

However, without additional context, an exact answer cannot be provided for how many congruence statements involve point O.

The reflexive property is universal in geometry and is not specific to any single point.

Complete the following statement of congruence:

ANOM ≅ ASRT

O ≅S

R ≅ R

OA ≅ ASRT

OB ≅ ASTR

OC ≅ ATSRO

OD ≅ ARTS

How many congruence statements involve the point O? Which point is congruent to itself, and why?

User Nifriz
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7.6k points