Transformations and Similar Figures

Lesson three focuses on using transformations to prove similarity, contrasting with lesson one which dealt with congruence. Key vocabulary includes dilation, scale factor, and similar figures. Examples demonstrate how to determine similarity in triangles and rectangles using transformations like translation, rotation, and dilation. Practice problems reinforce these concepts, and the lesson concludes with a discussion on scale factors and double dilation.

What is the main focus of Lesson 3 compared to Lesson 1?

• Proving similarity using transformations

• Understanding the properties of circles

• Learning about different types of angles

• Proving congruence using transformations

Which of the following is NOT a vocabulary word introduced in this lesson?

• Dilation

• Similar Figures

• Scale Factor

• Congruence

What does a dilation involve?

• Changing the color of a figure

• Reflecting a figure

• Enlarging or reducing a figure

• Rotating a figure

How is a scale factor defined?

• The number of sides a figure has

• The distance a figure is translated

• The angle of rotation of a figure

• The ratio of the length of a side on a scale model to the original

What distinguishes similar figures from congruent figures?

• Congruent figures have different shapes and sizes

• Congruent figures have different sizes but the same shape

• Similar figures have the same shape but different sizes

• Similar figures have the same size and shape

In Example 1, what transformation is used first to determine similarity?

• Dilation

• Reflection

• Rotation

• Translation

What is the ratio of the corresponding sides in Example 1 that proves similarity?

• 3:2

• 4:3

• 2:1

• 1:1

In Example 2, what transformation is used to compare the rectangles?

• Reflection

• Dilation

• Rotation

• Translation

Why are the rectangles in Example 2 not similar?

• They are not rotated correctly

• They have the same size

• Their corresponding side ratios are not consistent

• They have different shapes

What is the first step in the guided practice example?

• Rotation

• Dilation

• Reflection

• Translation