# 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.