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IM Geo.1.22 Practice:Now What Can You Build?

This design began from the construction of a regular hexagon.

 Name 2 pairs of congruent figures.

This design began from the construction of a regular hexagon.

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

Noah starts with triangle ABC and makes 2 new triangles by translating B to A and by translating B to C.

Noah thinks that triangle   is congruent to triangle. Do you agree with Noah? Explain your reasoning.

In the image, triangle ABC is congruent to triangle BAD and triangle CEA.

What are the measures of the 3 angles in triangle ? Show or explain your reasoning.

In the figure shown, angle 3 is congrent to angle 6.

 Select all statements that must be true.

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

In this diagram, point M is the midpoint of segment AC and B' is the image of B by a rotation of 180° around M.

Explain why rotating  using center  takes  to.

Explain why angles  and  have the same measure.

Lines AB and BC are perpendicular. The dashed rays bisect angles ABD and CBD.

Select all statements that must be true: 

Select all that apply
  • A
  • B
  • C
  • D
  • E
Check my answer (3)

Lines AD and EC meet at point B.

Give an example of a rotation using an angle greater than 0 degrees and less than 360 degrees, that takes both lines to themselves. Explain why your rotation works.

Draw the image of triangle ABC after this sequence of rigid transformations. Reflect across line segment AB.

Draw the image of triangle ABC after this sequence of rigid transformations. Translate by directed line segment u.

Draw the image of figure CAST after a clockwise rotation around point T using angle CAS and then a translation by directed line segment AS.

Describe another sequence of transformations that will result in the same image.