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Geometry Unit 2 - Lesson 03 - page 205 to 208

Last updated about 1 year ago
8 questions
Required
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:

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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.

Draggable itemCorresponding Item
Explain why the image of C coincides with E.
The image of ray CA and CE coincide after rotating because we defined our rotation that way.
Is triangle CBA congruent to triangle CDE? Explain your reasoning.
Transformations preserve distance so the image of point A and point E are the same distance along the same ray from C they have to coincide.
Explain why the image of ray CA lines up with ray CE.
Yes. The rotation would also make the image of B coincide with D. So there is a rigid motion that takes CBA onto CDE.
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The triangles are congruent. Which sequence of rigid motions will take triangle XYZ onto triangle BCA?

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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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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.

a. Why is Tyler's congruence statement incorrect? Tyler's congruence statement tells us corresponding angles, however angle ASD is not congruent to angle _______ as Tyler’s statement indicates.

b. Write a correct congruence statement for the pentagons.

ASDPX ≅ _______ .
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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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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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Line DE is parallel to line BC.

  1. Which lower case letter represents the measure of angle EAC? _______ °.
  2. Which lower case letter represents the measure of angle DAB? _______ °.
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