Triangle Action

Author:Paula Tsoi-a-Sue, William Malone

We learned that if one figure is congruent to another it can be transformed to the other using a sequence of rigid transformations. In other words, if two figures are congruent we can map one onto the other using only translations, reflections and rotations. Let's use this to answer the questions below:

Which rigid transformation takes △ to △? (Please select 2 choices)

Which rigid transformation shows that △ is congruent to △? (Please select 2 choices)

Select all that apply

A
rotation clockwise about about point
B
rotation counter clockwise about point
C
rotation clockwise about point
D
Reflection across
E
Translation along

Check my answer (3)

Which shape is not congruent to any of the others?

Select all that apply

A
△
B
△
C
△
D
△

Check my answer (3)

Which sequence of transformations does not show that △ is congruent to △? (The triangles have been provided again below for convenience)

Select all that apply

A
Translation of △ along followed by a reflection across
B
Reflection of △ across followed by a translation along
C
Translation of △ along followed by a rotation clockwise about
D
Reflection of △ across followed by a reflection across

Check my answer (3)

Consider the triangles below. They have been constructed in such a way that guarantees that they will remain congruent(the same). Move the vertices to see that they remain congruent. Use a sequence of transformations to show that they are congruent.

What sequence of transformations did you use?

What sequence of transformations could you use to show that △ and △ are congruent? Feel free to check your answer by performing your suggested sequence but it is not required.

Triangle Action

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