Recall that a rigid motion is that that preserves the distances while undergoing a motion in the plane. This is also called an isometry, rigid transformations, or congruence transformations and there are four different types. Therefore, for the translation to be considered "rigid" the two figures must be congruent by definition of a rigid motion.

Therefore, the statement, "For a translation to be considered rigid, the starting and ending figures must be congruent." is true.

Recall that a rigid motion is that that preserves the distances while undergoing a motion in the plane. This is also called an isometry, rigid transformations, or congruence transformations and there are four different types.

These basic type of rigid motions include the following:

1. Rotation
2. Reflection
3. Translation
4. Glide Reflection

Therefore, of the answer selections, "Expansion" is the term that is NOT a rigid motion.

A rigid motion is that that preserves the distances while undergoing a motion in the plane. This is also called an isometry, rigid transformations, or congruence transformations and there are four different types.

Regardless of which type of rigid motion occurred, the following is true about the triangles' angles:

The following is also true about the side lengths:

Therefore, of the answer choices  is the correct choice.

A rigid motion is that that preserves the distances while undergoing a motion in the plane. This is also called an isometry, rigid transformations, or congruence transformations and there are four different types.

Regardless of which type of rigid motion occurred, the following is true about the triangles' angles:

The following is also true about the side lengths:

Therefore, of the answer choices  is the correct choice.

A glide reflection is a rigid motion that occurs when a figure is translated a certain distance and then reflected or reflected and then translated. 

A translation is a rigid motion describing when a object is moved a certain distance.

A glide reflection contains a translation but it is not a synonym for translation therefore, the statement is false.

A glide reflection is a rigid motion that occurs when a figure is translated a certain distance and then reflected or reflected and then translated. In either case, a glide reflection aways contains a reflection.

Therefore, the statement, "All glide reflections are reflections." is true.

In the situation where Sally has a quarter that is face up on the desk. The coin is the object. Then she slides it to Bob on the other side of the desk and he flips it over so that the tails side is facing up. Therefore, since the coin maintains it shape it is undergoing a translation to reach the other side of the desk and a reflection to flip the coin. This describes a glide reflection which is in fact, a rigid motion.

Therefore, the statement is describing a rigid motion. The answer is "Yes"

In the situation where Sally has a quarter that is face up on the desk. The coin is the object. Then she slides it to Bob on the other side of the desk and he flips it over so that the tails side is facing up. Therefore, since the coin maintains it shape it is undergoing a translation to reach the other side of the desk and a reflection to flip the coin. This describes a glide reflection which is in fact, a rigid motion.

Recall that a rigid motion is that that preserves the distances between points within the object while undergoing a motion in the plane. This is also called an isometry, rigid transformations, or congruence transformations and there are four different types. The water balloons are the objects in this situation. Since the they are filled with more water to increase their circumferences, it does not preserve the shape of the object and thus, is not a rigid motion. 

A rigid motion is that that preserves the distances while undergoing a motion in the plane. This is also called an isometry, rigid transformations, or congruence transformations and there are four different types.

These basic type of rigid motions include the following:

1. Rotation
2. Reflection
3. Translation
4. Glide Reflection

Therefore, "A motion that preserves distance in the plane is called a rigid motion".