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What is the formal definition of congruence in geometry?
What is the formal definition of congruence in geometry?
- Two figures can be resized to coincide precisely with each other.
- Two figures have the same shape but not necessarily the same size.
- Two figures can be transformed into each other by an isometry. (correct)
- Two figures have the same shape and size.
In elementary geometry, when are two line segments considered congruent?
In elementary geometry, when are two line segments considered congruent?
- When they have the same length. (correct)
- When they have the same slope.
- When they are parallel to each other.
- When they have the same endpoints.
What does the term 'congruent' imply for two plane figures?
What does the term 'congruent' imply for two plane figures?
- Their corresponding diagonals and perimeters are equal.
- Their corresponding sides, angles, and areas are equal. (correct)
- Their corresponding angles and perimeters are equal.
- Their corresponding sides and angles are equal.
What is the related concept to congruence when objects have the same shape but not necessarily the same size?
What is the related concept to congruence when objects have the same shape but not necessarily the same size?
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When are two circles considered congruent?
When are two circles considered congruent?
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In geometry, when are two figures considered congruent?
In geometry, when are two figures considered congruent?
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What transformations can make two sets of points congruent?
What transformations can make two sets of points congruent?
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In elementary geometry, when are two line segments considered congruent?
In elementary geometry, when are two line segments considered congruent?
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What does the term 'congruent' imply for two circles?
What does the term 'congruent' imply for two circles?
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When are two angles considered congruent?
When are two angles considered congruent?
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