Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 18 - Formative Library | Library

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

Rotate 180° degrees around point E.

Rotate 180° degrees around point C, translate by directed line segment CE, and reflect across segment EF.

Translate by directed line segment AE and reflect across AC.

Translate by directed line segment CE and rotate 90° degrees counterclockwise around point E.

Translate by directed line segment AD.

Reflect across segment AB, rotate clockwise by angle BFE using center F, then reflect across segment EF.

G.CO.5

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.

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.

G.CO.5

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

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'.

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 angles of the quadrilateral have the same measure.

All rotations take one half of the quadrilateral to the other half of the quadrilateral.

All sides of the quadrilateral have the same length.

G.CO.5

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

Two sides of the quadrilateral have the same length.

All angles of the quadrilateral have the same measure.

Two angles of the quadrilateral have the same measure.

No angles of the quadrilateral have the same measure.

All sides of the quadrilateral have the same length.

No sides of the quadrilateral have the same length.

G.CO.5

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

G.CO.5

Which statement is true about a translation?

A translation takes a line to a parallel line or itself.

A translation rotates a line.

A translation dilates a line.

A translation takes a line to a perpendicular line.

G.CO.5

This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 18. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/18/index.html ; accessed 29/July/2021.

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