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In this lesson, we will learn how to identify a set of transformations that are applied to a specified figure.

Q1:

The triangle π΄ π΅ πΆ has been transformed onto triangle π΄ π΅ πΆ ο ο ο which has then been transformed onto triangle π΄ π΅ πΆ ο ο ο ο ο ο .

Describe the single transformation that maps π΄ π΅ πΆ onto π΄ β² π΅ β² πΆ β² .

Describe the single transformation that maps π΄ β² π΅ β² πΆ β² onto π΄ β² β² π΅ β² β² πΆ β² β² .

Hence, are triangles π΄ π΅ πΆ and π΄ β² β² π΅ β² β² πΆ β² β² similar?

Q2:

The triangle π΄ π΅ πΆ has been transformed onto triangle π΄ π΅ πΆ ο ο ο which has then been transformed onto triangle π΄ π΅ πΆ ο ο ο ο ο ο as seen in the figure.

Describe the single transformation that would map π΄ π΅ πΆ to π΄ β² π΅ β² πΆ β² .

Describe the single transformation that would map π΄ β² π΅ β² πΆ β² to π΄ β² β² π΅ β² β² πΆ β² β² .

Hence, are triangles π΄ π΅ πΆ and π΄ β² β² π΅ β² β² πΆ β² β² congruent?

Q3:

The triangle π΄ π΅ πΆ has been transformed onto triangle π΄ β² π΅ β² πΆ β² which has then been transformed onto triangle π΄ β² β² π΅ β² β² πΆ β² β² as seen in the figure.

Describe the single transformation that would map π΄ π΅ πΆ onto π΄ β² π΅ β² πΆ β² .

Describe the single transformation that would map π΄ β² π΅ β² πΆ β² onto π΄ β² β² π΅ β² β² πΆ β² β² .

Q4:

The triangle π΄ π΅ πΆ has been transformed onto triangle π΄ β² π΅ β² πΆ β² which has then been transformed onto triangle π΄ β² β² π΅ β² β² πΆ β² β² .

Q5:

Q6:

Q7:

Starting with triangle π΄ ( 3 , 7 ) , π΅ ( 4 , 1 ) , and πΆ ( 8 , 7 ) , apply the transformations: 1. reflect in the π¦ -axis, 2. reflect in the π₯ -axis, and 3. translate by 3 units right and 3 units up. What are the images of the vertices?

Q8:

Starting with triangle π΄ ( 2 , 1 ) , π΅ ( 9 , 4 ) , and πΆ ( 9 , 6 ) , apply the transformations: 1. reflect in the π¦ -axis, 2. reflect in the π₯ -axis, and 3. translate by 5 units right and 5 units up. What are the images of the vertices?

Q9:

The triangle π΄ π΅ πΆ has been transformed onto triangle π΄ π΅ πΆ ο ο ο which has then been transformed onto triangle π΄ π΅ πΆ ο ο ο ο ο ο then transformed onto π΄ π΅ πΆ ο ο ο ο ο ο ο ο ο as seen in the figure.

Describe the single transformation that would map π΄ β² β² π΅ β² β² πΆ β² β² onto π΄ β² β² β² π΅ β² β² β² πΆ β² β² β² .

Hence, are triangles π΄ π΅ πΆ and π΄ β² β² β² π΅ β² β² β² πΆ β² β² β² congruent?

Q10:

A shape πΉ has been reflected in the line π¦ = π₯ and then rotated 2 7 0 β clockwise about the origin to πΉ β² . Would πΉ and πΉ β² be congruent?

Q11:

In the given figure, triangle π΄ has been transformed to triangle π΅ . Which of the following sequences of transformations could have been used?

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