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Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 22

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10 Questions
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1.
This design began from the construction of a regular hexagon. Name 2 pairs of congruent figures.
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2.
This design began from the construction of a regular hexagon. Describe a rigid motion that will take the figure to itself.
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3.
Noah starts with triangle ABC and makes 2 new triangles by translating B to A and by translating B to C. Noah thinks that triangle DCA  is congruent to triangle BAC. Do you agree with Noah?
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4.
In the image, triangle ABC is congruent to triangle BAD and triangle CEA. What are the measures of the 3 angles in triangle? Show or explain your reasoning.
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5.
In the figure shown, angle 3 is congrent to angle 6. Select all statements that must be true.
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6.
In this diagram, point M is the midpoint of segment AC and B' is the image of B by a rotation of 180° around M.
  1. Explain why rotating 180° using center M takes A to C.
  2. Explain why angles BAC and B'CA have the same measure.
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7.
Lines AB and BC are perpendicular. The dashed rays bisect angles ABD and CBD.

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8.
Lines AD and EC meet at point B.
Give an example of a rotation using an angle greater than 0 degrees and less than 360 degrees, that takes both lines to themselves. Explain why your rotation works.
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9.
Draw the image of triangle ABC after this sequence of rigid transformations.

  1. Reflect across line segment AB.
  2. Translate by directed line segment u.
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10.
  1. Draw the image of figure CAST after a clockwise rotation around point T using angle CAS and then a translation by directed line segment AS.
  2. Describe another sequence of transformations that will result in the same image.

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This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 22. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/22/index.html ; accessed 29/July/2021.

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