Geometry 9-7 Complete Lesson: Similarity Transformations
By Matthew Richardson
star
star
star
star
star
Last updated over 3 years ago
17 questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
Solve It! Your friend says that she performed a composition of transformations to map △ABC to △A'B'C'. Describe the composition of transformations.
Solve It! Your friend says that she performed a composition of transformations to map △ABC to △A'B'C'. Describe the composition of transformations.
Problem 1 Got It? Reasoning: △LMN has vertices L(-4, 2), M(-3, -3), and N(-1, 1). Suppose the triangle is translated 4 units right and 2 unit up and then dilated by a scale factor of 0.5 with center of dilation at the origin. Sketch the △LMN in black and the resulting image of the composition of transformations in blue. Include all relevant graph detail.
Problem 1 Got It? Reasoning: △LMN has vertices L(-4, 2), M(-3, -3), and N(-1, 1). Suppose the triangle is translated 4 units right and 2 unit up and then dilated by a scale factor of 0.5 with center of dilation at the origin. Sketch the △LMN in black and the resulting image of the composition of transformations in blue. Include all relevant graph detail.
Problem 2 Got It?
Problem 2 Got It?
Problem 3 Got It?
Problem 3 Got It?
Problem 4 Got It?
Problem 4 Got It?
Open-Ended: For △TUV, give the vertices of a similar triangle after a similarity transformation that uses at least 1 rigid motion.
Open-Ended: For △TUV, give the vertices of a similar triangle after a similarity transformation that uses at least 1 rigid motion.
Review Lesson 9-3: Which capital letters of the alphabet are rotation images of themselves? Draw each letter and give an angle of rotation (<360°).
Review Lesson 9-3: Which capital letters of the alphabet are rotation images of themselves? Draw each letter and give an angle of rotation (<360°).
Review Lesson 6-7: Three vertices of an isosceles trapezoid are (-2, 1), (1, 4), and (4, 4). Graph the given vertices in black and all possible fourth vertices in blue. Label the vertices with coordinates. Include all relevant graph detail.
Review Lesson 6-7: Three vertices of an isosceles trapezoid are (-2, 1), (1, 4), and (4, 4). Graph the given vertices in black and all possible fourth vertices in blue. Label the vertices with coordinates. Include all relevant graph detail.
Review Lesson 1-8: Find the area of each figure. Not all areas will be used.
Review Lesson 1-8: Find the area of each figure. Not all areas will be used.
- A square with 5-cm sides
- A rectangle with base 4.1 cm and height 7 cm
- A 4.7 cm-by-2.5 cm rectangle
Vocabulary Review: Complete each sentence with the most appropraite word(s) from the list.
Vocabulary Review: Complete each sentence with the most appropraite word(s) from the list.
- angle measure
- dilations
- distance
- rigid motion
- Rigid motions and dilations both preserve __?__.
- __?__ preserve distance.
- __?__ do not preserve distance.
Use Your Vocabulary: The image of a dilation is 5 in. and the corresponding preimage length is 2 in. What is the scale factor of the dilation?
Use Your Vocabulary: The image of a dilation is 5 in. and the corresponding preimage length is 2 in. What is the scale factor of the dilation?
Use Your Vocabulary: The scale factor of a dilation is 2/3. An image length is 4 m. What is the corresponding preimage length?
Use Your Vocabulary: The scale factor of a dilation is 2/3. An image length is 4 m. What is the corresponding preimage length?
Reflection: Math Success
Reflection: Math Success