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Geo.1 Constructions and Rigid Transformations

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

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

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

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

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

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

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

I can use technology to help me construct specific diagrams.

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

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.

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

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

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.

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

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

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

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

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.

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

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

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

I can follow directions to construct a pattern.