Congruence Transformations in Geometry

The video tutorial covers geometric transformations, focusing on congruence transformations such as reflection, translation, and rotation. It explains how these transformations maintain the size and shape of figures, introducing the concept of isometry. The tutorial also demonstrates how to identify and verify transformations using the distance formula, ensuring that the figures remain congruent.

What is the primary focus of congruence transformations in the context of triangles?

• Maintaining the congruence of the triangle

• Changing the shape of the triangle

• Changing the size of the triangle

• Altering the angles of the triangle

What is the result of a congruence transformation on a triangle?

• The triangle remains congruent

• The triangle becomes smaller

• The triangle changes shape

• The triangle becomes larger

In a congruence transformation, what happens to the angles of the figure?

• They halve

• They double

• They remain the same

• They change

What is the outcome of a congruence transformation on a geometric figure?

• The figure becomes distorted

• The figure remains congruent

• The figure changes shape

• The figure changes size

In a congruence transformation, what remains unchanged?

• The position of the figure

• The color of the figure

• The size and shape of the figure

• The orientation of the figure

Which of the following is NOT a characteristic of a congruence transformation?

• Preserves the size of the figure

• Maps a pre-image to an image

• Changes the size of the figure

• Maintains the shape of the figure

What does the term 'isometry' refer to in the context of transformations?

• A transformation that alters the angles of a shape

• A transformation that only shifts a shape

• A transformation that changes the size of a shape

• A congruence transformation that preserves size and shape

What does a congruence transformation ensure about the corresponding parts of triangles?

• They are similar

• They are congruent

• They are parallel

• They are different in size

In a reflection transformation, what is true about the distance of points from the line of reflection?

• Points are at varying distances from the line

• Each point is equidistant from the line of reflection

• Points move away from the line after reflection

• Points are closer to the line after reflection

Which transformation involves flipping a figure over a line?

• Translation

• Rotation

• Reflection

• Dilation