Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 18

The figures are congruent. Select all the sequences of transformations that would take Figure 1 to Figure 2.

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G.CO.5

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

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G.CO.5

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

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G.CO.5

Describe a transformation that takes any point A to any point B.

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G.CO.5

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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G.CO.5

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.

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

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G.CO.5

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

• All sides of the quadrilateral have the same length.
• All angles of the quadrilateral have the same measure.
• Two sides of the quadrilateral have the same length.
• Two angles of the quadrilateral have the same measure.
• No sides of the quadrilateral have the same length.

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G.CO.5

Which segment is the image of FG when rotated 90° clockwise around point P?

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G.CO.5