Unit 1, Lesson 16

More Symmetry

Integrated Math 1

Practice

1. Problem 1

   Student Task Statement

   For each figure, identify any angles of rotation that create symmetry.

   

   

   

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2. Problem 2

   Student Task Statement

   A triangle 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.

   1. All sides of the triangle have the same length.

   2. All angles of the triangle have the same measure.

   3. All rotations take one half of the triangle to the other half of the triangle.

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3. Problem 3

   Student Task Statement

   Select all the angles of rotation that produce symmetry for this flower.

   

   Flower on polar grid. Grid is made up of 3 circles with the same center. Flower is made up of 4 congruent petals. 2 petals on top half of grid, 2 petals on bottom. Petal length reaches the third outermost circle on the grid.

   1. 45 degrees

   2. 90 degrees

   3. 135 degrees

   4. 180 degrees

   5. 225 degrees

   6. 270 degrees

4. Problem 4

   ForLesson 15: Symmetry

   Student Task Statement

   Identify any lines of symmetry the figure has.

   

   Two congruent circles on polar grid. Grid is made up of 3 circles with the same center, and one set of perpendicular lines. 1 circle on top half of grid, 1 circle on bottom, vertical line goes through both circles’ diameters. Circles reach the third outermost circle on the grid.

5. Problem 5

   ForLesson 15: Symmetry

   Student Task Statement

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

   1. All sides of the triangle have the same length.

   2. All angles of the triangle have the same measure.

   3. No sides of the triangle have the same length.

   4. No angles of the triangle have the same measure.

6. Problem 6

   ForLesson 10: Rigid Transformations

   Student Task Statement

   Here are 4 triangles that have each been transformed by a different transformation. Which transformation is not a rigid transformation?

   1.  

      

   2.  

      

7. Problem 7

   ForLesson 12: Defining Translations

   Student Task Statement

   Match each directed line segment with the translation from Polygon to Polygon by that directed line segment.