Transformations and Congruent Figures

The video tutorial covers the concept of congruent figures, explaining how to identify corresponding parts using the order of letters. It demonstrates checking congruence using transparency and describes sequences of rigid motions to map figures. The tutorial also explains why some figures are not congruent and provides real-life examples of congruent figures in textiles. Finally, it discusses mapping patterns in textiles using rigid motions.

What does the order of letters in congruent figures help us determine?

• The corresponding parts of the figures

• The color of the figures

• The material of the figures

• The size of the figures

Which tool is suggested to check if tabletops are congruent?

• A compass

• A protractor

• A ruler

• A transparency

What sequence of rigid motions is used to map one figure onto another?

• Translation, rotation, and reflection

• Scaling, rotation, and translation

• Reflection, scaling, and rotation

• Translation, scaling, and reflection

Why are some figures not considered congruent?

• They are not the same color

• They are not the same size or shape

• They do not have the same pattern

• They are not made of the same material

What is a real-life example of congruent figures mentioned in the video?

• Modern paintings

• Navajo weavings

• Architectural designs

• Mathematical models

What is the significance of the Navajo Chief blanket?

• It was a ceremonial item

• It was used as a wall decoration

• It was used as a floor mat

• It was worn as a jacket

What transformation is used to create a congruent pattern in another quadrant?

• Shearing

• Dilation

• Rotation

• Scaling

Which quadrant is filled by rotating the pattern from Quadrant 1?

• Quadrant 5

• Quadrant 3

• Quadrant 2

• Quadrant 4

What is the degree of rotation used to fill Quadrant 4?

• 180°

• 45°

• 60°

• 90°

What other transformations could be used instead of rotation to continue the pattern?

• Reflection or translation

• Dilation or shearing

• Scaling or dilation

• Scaling or shearing