Geo.1 Constructions and Rigid Transformations

Lesson 1

  • I can create diagrams using a straightedge.
  • I know to use a compass to construct a circle.

Lesson 2

  • I can follow instructions to create a construction.
  • I can use precise mathematical language to describe a construction.

Lesson 3

  • I can construct a perpendicular bisector.
  • I understand what is special about the set of points equidistant from two given points.

Lesson 4

  • I can construct an equilateral triangle.
  • I can identify congruent segments in figures and explain why they are congruent.

Lesson 5

  • I can construct a line that is perpendicular to a given line through a point on the line.
  • I can construct an angle bisector.

Lesson 6

  • I can construct a parallel line through a given point.
  • I can construct a perpendicular line through a given point.

Lesson 7

  • I can construct a square inscribed in a circle.
  • I can construct a square using a given segment for one of its sides.

Lesson 8

  • I can use technology to help me construct specific diagrams.

Lesson 9

  • I can construct perpendicular bisectors to help solve problems.
  • I can use my geometry knowledge to solve problems.

Lesson 10

  • Given a figure and the description of a transformation, I can draw the figure's image after the transformation.
  • I can describe the sequence of transformations necessary to take a figure onto another figure.
  • I know that rigid transformations result in congruent figures.

Lesson 11

  • I can describe a reflection by specifying the line of reflection.
  • I can draw reflections.

Lesson 12

  • I can describe a translation by stating the directed line segment.
  • I can draw translations.

Lesson 13

  • Given a figure and the description of a transformation, I can draw the figure's image after the transformation.
  • I can describe the sequence of transformations necessary to take a figure onto another figure.
  • I know that rigid transformations result in congruent figures.

Lesson 14

  • I can describe a rotation by stating the center and angle of rotation.
  • I can draw rotations.

Lesson 15

  • I can describe the reflections that take a figure onto itself.

Lesson 16

  • I can describe the rotations that take a figure onto itself.

Lesson 17

  • I can describe a transformation that takes given points to another set of points.

Lesson 18

  • Given a figure and the description of a transformation, I can draw the figure's image after the transformation.
  • I can describe a transformation that takes given points to another set of points.

Lesson 19

  • I can label and make conjectures from diagrams.
  • I can prove vertical angles are congruent.

Lesson 20

  • I can prove alternate interior angles are congruent.
  • I can prove corresponding angles are congruent.

Lesson 21

  • I can prove the angles in a triangle sum to 180 degrees.

Lesson 22

  • I can follow directions to construct a pattern.