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All Common Core: High School - Geometry Resources

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Flashcards: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

What is rigid motion?

Any way of moving a figure

Any way of moving a figure such that the relative distance between the points/vertices of the figure stay the same but the position can differ

Any way of moving a figure such that the relative distance between the points/vertices of the figure stay the same and the relative position of the points/vertices of the figure stay the same

Any way of moving a figure such that the relative position of the points/vertices of the figure stay the same but the distance between points/vertices can differ

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Flashcards: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

What is rigid motion?

Your answer:

Any way of moving a figure

Your answer:

Any way of moving a figure such that the relative distance between the points/vertices of the figure stay the same but the position can differ

Your answer:

Any way of moving a figure such that the relative position of the points/vertices of the figure stay the same but the distance between points/vertices can differ

Correct answer:

Any way of moving a figure such that the relative distance between the points/vertices of the figure stay the same and the relative position of the points/vertices of the figure stay the same

Explanation:

Rigid motion follows these criteria because the motion is rigid meaning that everything that is moving stays the same except for the location of the entire figure. There are three common types of rigid motion; translation, reflection, and rotation.

Flashcards: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

In terms of rigid motion, how do we know when two figures are congruent to one another?

Two figures are congruent if there is a sequence of rigid motions that maps one figure to another

Two figures are congruent if there is a sequence of rigid motions that maps at least two vertices to another

Two figures are congruent if they meet the criteria of one of the following theorems: SAS, ASA, SSS

Two figures are congruent if they meet the criteria of all three of the following theorems: SAS, ASA, SSS

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Flashcards: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

In terms of rigid motion, how do we know when two figures are congruent to one another?

Your answer:

Two figures are congruent if there is a sequence of rigid motions that maps at least two vertices to another

Your answer:

Two figures are congruent if they meet the criteria of one of the following theorems: SAS, ASA, SSS

Your answer:

Two figures are congruent if they meet the criteria of all three of the following theorems: SAS, ASA, SSS

Correct answer:

Two figures are congruent if there is a sequence of rigid motions that maps one figure to another

Explanation:

This is the correct definition in terms of rigid motions. Some of the other options are correct definitions for congruence but do not mention the criteria of there being rigid motion between the two figures. An example of this is that $\Delta ABC$ and $\Delta DEF$ are congruent because they are a reflection of one another. Their vertices that map to each other are

$A\rightarrow D$

$B\rightarrow E$

$C\rightarrow F$

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All Common Core: High School - Geometry Resources

Flashcards: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

Flashcards: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

Flashcards: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

Flashcards: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

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