Determining Similarity of Figures Using Transformations and Dilations

This lesson teaches how to determine if two figures are similar using rigid transformations and dilations. It covers translation, reflection, rotation, and dilation, explaining how these transformations affect shapes. The lesson also discusses how to calculate scale factors and write similarity statements, using examples to illustrate these concepts. By the end, students should understand how to identify similar polygons and write correct similarity statements.

Which transformation involves flipping a shape over a line of symmetry?

• Translation

• Reflection

• Rotation

• Dilation

What is the scale factor if triangle ABC is dilated to form triangle A'B'C'?

• The ratio of the perimeter of A'B'C' to ABC

• The ratio of the area of A'B'C' to ABC

• The ratio of a side length of A'B'C' to the corresponding side length of ABC

• The difference in side lengths between A'B'C' and ABC

What must be true for two polygons to be considered similar?

• They must have the same size and shape.

• Their corresponding angles must be congruent, and their corresponding sides must be proportional.

• They must have the same perimeter.

• They must be congruent.

When writing a similarity statement, why is it important to maintain the order of vertices?

• To ensure the statement is concise

• To match corresponding angles and sides correctly

• To avoid using too many letters

• To make the statement easier to read

If triangle FGH is similar to triangle JKL, which angle in JKL corresponds to angle G in FGH?

• Angle J

• Angle K

• Angle L

• Angle M

What is the first step in determining if two figures are similar?

• Checking if they have the same perimeter

• Calculating the area of both figures

• Matching corresponding angles

• Using transformations to align the figures

What is the scale factor if the ratio of corresponding sides is 3:2?

• 3

• 0.5

• 2

• 1.5