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IM Geo.2.3 Practice: Congruent Triangles, Part 1

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

Triangle ABC is congruent to triangle EDF.

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

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  • A
  • B
  • C
  • D
  • E
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A rotation by angle ACE using point C as the center takes triangle CBA onto triangle CDE.

Explain why the image of ray  lines up with ray .

Explain why the image of  coincides with .

Is triangle  congruent to triangle ? Explain your reasoning.

The triangles are congruent.

 Which sequence of rigid motions will take triangle onto triangle ?

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  • B
  • C
  • D
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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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  • A
  • B
  • C
  • D
  • E
  • F
  • G
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Line SD is a line of symmetry for figure ASMHZDPX.

Tyler says that  is congruent to  because sides  and  are corresponding. Why is Tyler's congruence statement incorrect?

Write a correct congruence statement for the pentagons.

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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  • A
  • B
  • C
  • D
  • E
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When triangle ABC is reflected across line AB, the image is triangle ABD.

Why is angle  congruent to angle ?

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  • A
  • B
  • C
  • D
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Line DE is parallel to line BC.

What is the measure of angle ?

What is the measure of angle?

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