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IM Geo.2.4 Practice: Congruent Triangles, Part 2

Match each statement using only the information shown in the pairs of congruent triangles.

Sketch the unique triangles that can be made with angle measures 40° and 100° and side length 3.

How do you know you have sketched all possibilities?

What is the least amount of information that you need to construct a triangle congruent to this one?

Triangle ABC is congruent to triangle EDF.

So, Mai knows that there is a sequence of rigid motions that takes  to .    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.

Explain why the image of segment  lines up with segment .

Explain why the image of  coincides with .

Is triangle  congruent to triangle ? Explain your reasoning.

Line EF is a line of symmetry for figure ABECDF.

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

Write a correct congruence statement for the quadrilaterals.

Triangle HEF is the image of triangle HGF after a reflection across line FH.

Select all statements that must be true.

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When rectangle ABCD is reflected across line EF, the image is BADC.

How do you know that segment AD is congruent to segment BC?

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This design began from the construction of a regular hexagon.

Describe a rigid motion that will take the figure onto itself.