Transformations in Geometry

The video tutorial covers the concept of geometric transformations, including translation, reflection, and rotation. It explains how these transformations preserve the shape and size of figures, making them congruent. The tutorial also discusses how to identify different types of transformations and combines them to achieve complex results. The lesson concludes with exercises to reinforce the concepts learned.

Which of the following transformations preserves both the shape and size of a figure?

• Shear

• Stretch

• Dilation

• Translation

What type of transformation is applied when a figure is flipped over a line?

• Dilation

• Reflection

• Translation

• Rotation

If a triangle is rotated 90 degrees clockwise, what is the center of this rotation?

• The centroid of the triangle

• A vertex of the triangle

• The midpoint of the triangle

• The origin

Which transformation involves sliding a figure from one position to another without rotating it?

• Reflection

• Translation

• Rotation

• Dilation

What is the result of a reflection followed by a translation on a figure?

• The figure rotates

• The figure becomes non-congruent

• The figure changes size

• The figure remains congruent

In a complex transformation, which step is typically performed first?

• Dilation

• Reflection

• Rotation

• Translation

What is the effect of a 90-degree counterclockwise rotation on a figure's orientation?

• The orientation changes by 180 degrees

• The orientation remains the same

• The orientation is reversed

• The orientation changes by 90 degrees

Which transformation does not alter the size of a figure but changes its position?

• Dilation

• Translation

• Reflection

• Rotation

What is the term for figures that have the same shape and size?

• Equivalent

• Identical

• Congruent

• Similar

Which of the following is not a type of transformation discussed in the lesson?

• Translation

• Reflection

• Dilation

• Shear