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What is the formal definition of congruence in geometry?
What is the formal definition of congruence in geometry?
- Two figures are congruent if they have the same shape but not necessarily the same size.
- Two figures are congruent if they have the same area and perimeter.
- Two figures are congruent if they have the same size but not necessarily the same shape.
- Two figures are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. (correct)
What is required for two sets of points to be called congruent?
What is required for two sets of points to be called congruent?
- They can be transformed into each other by a combination of translation, rotation, and scaling.
- They can be transformed into each other by an isometry. (correct)
- They can be transformed into each other by resizing.
- They can be transformed into each other by reflection only.
In elementary geometry, when are two line segments considered congruent?
In elementary geometry, when are two line segments considered congruent?
- If they have the same endpoints.
- If they have the same slope.
- If they have the same length. (correct)
- If they have the same midpoint.
What is the permitted operation when determining if two distinct plane figures are congruent?
What is the permitted operation when determining if two distinct plane figures are congruent?
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When are two circles considered congruent?
When are two circles considered congruent?
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