IM Geo.1.18 Practice: Practicing Point by Point Transformations

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

The figures are congruent.

Select all the sequences of transformations that would take Figure 1 to Figure 2.

Select all that apply

A
Translate by directed line segment .
B
Rotate 180 degrees around point .
C
Translate by directed line segment and reflect across .
D
Translate by directed line segment and rotate 90 degrees counterclockwise around point .
E
Rotate 180 degrees around point , translate by directed line segment , and reflect across segment .
F
Reflect across segment , rotate clockwise by angle using center , then reflect across segment .

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Draw the image of figure ACTS after a clockwise rotation around point T using angle CTS and then a translation by directed line segment CT.

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

Draw the image of triangle ABC after this sequence of rigid transformations.

Reflect across line segment .
Translate by directed line segment .

Describe a transformation that takes any point to any point .

Triangle ABC is congruent to triangle A'B'C'. Describe a sequence of rigid motions that takes A to A', B to B', and C to C'.

A quadrilateral has rotation symmetry that can take any of its vertices to any of its other vertices. Select all conclusions that we can reach from this.

Select all that apply

A
All sides of the quadrilateral have the same length.
B
All angles of the quadrilateral have the same measure.
C
All rotations take one half of the quadrilateral to the other half of the quadrilateral.

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A quadrilateral has a line of symmetry. Select all conclusions that must be true.

Select all that apply

A
All sides of the quadrilateral have the same length.
B
All angles of the quadrilateral have the same measure.
C
Two sides of the quadrilateral have the same length.
D
Two angles of the quadrilateral have the same measure.
E
No sides of the quadrilateral have the same length.
F
No angles of the quadrilateral have the same measure.

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Which segment is the image of when rotated clockwise around point ?

Which statement is true about a translation?

Select all that apply

A
A translation rotates a line.
B
A translation takes a line to a parallel line or itself.
C
A translation takes a line to a perpendicular line.
D
A translation dilates a line.

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IM Geo.1.18 Practice: Practicing Point by Point Transformations

The figures are congruent.

Draw the image of figure ACTS after a clockwise rotation around point T using angle CTS and then a translation by directed line segment CT.

Draw the image of triangle ABC after this sequence of rigid transformations.

Triangle ABC is congruent to triangle A'B'C'. Describe a sequence of rigid motions that takes A to A', B to B', and C to C'.

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