Exploring Congruence Through Transformations

What does not change when a figure undergoes a translation, reflection, or rotation?

• Color

• Number of sides

• Size and shape

• Position on the graph

What indicates a second transformation has occurred to a figure?

• No symbols

• A single apostrophe symbol

• A triple apostrophe symbol

• A double apostrophe symbol

Which sequence can demonstrate that two figures are congruent?

• Changing the size of one figure

• Applying a color change

• Altering the number of sides

• A sequence of rotations, translations, or reflections

How can you determine if two triangles are congruent using transformations?

• By resizing one of the triangles

• By changing their colors to match

• By adding or removing vertices

• Using a sequence of transformations to map one onto the other

What is necessary for two figures to be considered congruent?

• They must have a different number of sides

• They must be of the same color

• They must be on the same part of the graph

• They must have the same size and shape

What does a reflection transformation do to a figure's orientation?

• It remains the same

• It is reversed

• It becomes vertical

• It becomes diagonal

How can the order of vertices help in identifying transformations?

• By the distance between vertices

• By the alphabetical order of vertices

• By the orientation and position of vertices

• By changing the color of vertices

What transformation sequence can map triangle ABC onto XYZ?

• Rotation and translation

• Reflection across the y-axis and translation

• Color change and rotation

• Increasing the size and then rotating

What is the result of reflecting a figure across the x-axis and then translating it?

• The figure becomes larger

• The figure moves to a new position

• The figure's orientation is reversed

• The figure changes color

How do you determine the correct sequence of transformations in a multiple-choice question?

• By changing the figure's color

• By checking each option to see what works

• By drawing new figures

• By guessing