Exploring Dilations and Similarity in Geometry

The video tutorial introduces the concept of dilations, a type of transformation that changes the size of a figure while maintaining its shape. It reviews previous transformations like reflections, translations, and rotations, which are non-rigid and do not alter the size or shape. The tutorial explains how dilations can enlarge or reduce figures, introduces the concept of scale factors, and provides practical examples using triangles to illustrate these transformations.

Which of the following transformations does not change the shape or size of a figure?

• Translation

• Reflection

• Dilation

• Rotation

What is a dilation in geometric transformations?

• A transformation that changes the shape of a figure

• A transformation that changes the color of a figure

• A transformation that changes the size of a figure

• A transformation that changes the position of a figure

When enlarging a figure, the scale factor is:

• Equal to 0

• Greater than 1

• Equal to 1

• Less than 1

If a figure is reduced in size, the scale factor is:

• Equal to 1

• Greater than 1

• Equal to 0

• Less than 1

What does a scale factor of 1 indicate in a dilation?

• The figure is reduced

• The figure is rotated

• The figure is enlarged

• The figure remains the same size

In a dilation, if the original figure is a triangle, what will the dilated figure be?

• A rectangle

• A square

• A circle

• A triangle

What is the term used for a dilation that makes a figure smaller?

• Enlargement

• Reduction

• Translation

• Reflection

What is the term used for a dilation that makes a figure larger?

• Reflection

• Translation

• Enlargement

• Reduction

In the context of dilations, what does the term 'similar' mean?

• Figures have different shapes and sizes

• Figures have the same size but different shapes

• Figures have the same shape but different sizes

• Figures have the same color

What remains unchanged in a dilation?

• The position of the figure

• The size of the figure

• The shape of the figure

• The color of the figure