Exploring Sequence of Transformations

The video tutorial explains how to demonstrate the similarity of triangles using transformations. It covers the use of dilation and translation to enlarge and shift triangles, calculating scale factors, and applying these transformations to specific coordinates. Students are encouraged to practice by mapping one triangle onto another using these techniques. The tutorial also discusses reflecting shapes across axes and writing transformations in both word and coordinate forms.

What is the first transformation applied to triangle MNP to make it similar to triangle M' N' P'?

• Dilation

• Rotation

• Translation

• Reflection

What is the scale factor used in the dilation of triangle MNP?

• 3

• 2

• 4

• 1

After dilation, what is the next transformation applied to triangle MNP?

• Dilation

• Reflection

• Rotation

• Translation

How many units is the triangle MNP shifted to the right during the translation?

• 3 units

• 4 units

• 2 units

• 1 unit

Why are the two triangles MNP and M' N' P' similar but not congruent?

• Because a dilation was applied

• Because a translation was applied

• Because a reflection was applied

• Because a rotation was applied

What is the scale factor used to make triangle ABC smaller?

• 1/2

• 1/5

• 1/3

• 1/4

What are the new coordinates of point A after applying the scale factor of 1/2?

• (1, 3)

• (2, 6)

• (2, 2)

• (4, 2)

What is the next transformation applied to triangle ABC after dilation?

• Reflection

• Dilation

• Rotation

• Translation

How do you write the reflection across the x-axis in coordinate form?

• (x, y) -> (x, -y)

• (x, y) -> (-x, y)

• (x, y) -> (-x, -y)

• (x, y) -> (y, x)

What is the correct sequence of transformations to map triangle ABC to A' B' C'?

• Dilation followed by reflection

• Reflection followed by dilation

• Translation followed by reflection

• Dilation followed by rotation