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Illustrative Mathematics - Geometry - Mathematics - Unit 2 - Lesson 3

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Last updated 2 months ago
8 Questions
1.

Triangle ABC is congruent to triangle EDF. So, Kiran knows that there is a sequence of rigid motions that takes ABC to EDF.
Select all true statements after the transformations:

G.CO.7
8.G.1.a
8.G.1.b
G.CO.8
2.

A rotation by angle ACE using point C as the center takes triangle CBA onto triangle CDE.
  1. Explain why the image of ray CA lines up with ray CE.
  2. Explain why the image of C coincides with E.
  3. Is triangle CBA congruent to triangle CDE? Explain your reasoning.

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8.G.1.a
8.G.1.b
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3.

The triangles are congruent. Which sequence of rigid motions will take triangle XYZ onto triangle BCA?

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8.G.1.a
8.G.1.b
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4.

Triangle HEF is the image of triangle FGH after a 180 degree rotation around point K. Select all statements that must be true.

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8.G.1.a
8.G.1.b
G.CO.8
5.

Line SD is a line of symmetry for figure ASMHZDPX. Tyler says that ASDPX is congruent to SMDZH because sides AS and MS are corresponding.
  1. Why is Tyler's congruence statement incorrect?
  2. Write a correct congruence statement for the pentagons.

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8.G.1.a
8.G.1.b
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6.

Triangle ABC is congruent to triangle DEF.  Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

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8.G.1.a
8.G.1.b
G.CO.8
7.

When triangle ABC is reflected across line AB, the image is triangle ABD. Why is angle ACD congruent to angle ADB?

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8.G.1.a
8.G.1.b
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8.

Line DE is parallel to line BC.

  1. What is the measure of angle EAC?
  2. What is the measure of angle DAB?

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8.G.1.a
8.G.1.b
G.CO.8
This lesson is from Illustrative Mathematics. Geometry, Unit 2, Lesson 3. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/2/3/index.html ; accessed 29/July/2021.

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