IM Geo.1.15 Practice: Symmetry

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

For each figure, identify any lines of symmetry the figure has.

In quadrilateral BADC, AB=AD and BC=DC. The line AC is a line of symmetry for this quadrilateral.

Based on the line of symmetry, explain why the diagonals and are perpendicular.

Based on the line of symmetry, explain why angles and have the same measure.

Three line segments form the letter Z.

Rotate the letter counterclockwise around the midpoint of segment by 180 degrees. Describe the result.

There is a square, ABCS, inscribed in a circle with center D.

What is the smallest angle we can rotate around so that the image of is ?

Select all that apply

Check my answer (3)

Points A, B, C, and D are vertices of a square. Point E is inside the square.

Explain how to tell whether point is closer to , , , or .

Lines l and m are perpendicular.

Sometimes reflecting a point over m has the same effect as rotating the point 180 degrees using center . Select all labeled points which have the same image for both transformations.

Select all that apply

Check my answer (3)

Here is triangle POG and some images of the triangle POG under a specific rotation.

Match the description of the rotation with the image of POG under that rotation.

Rotate 60 degrees clockwise around .

Rotate 120 degrees clockwise around .

Rotate 60 degrees counterclockwise around .