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Geometry 9-7 Complete Lesson: Similarity Transformations

By Matt Richardson
Last updated almost 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.

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 3 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.

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 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.

  • 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 scale factor of a dilation is 2/3. An image length is 4 m. What is the corresponding preimage length?

Reflection: Math Success