Unit 1, Lesson 15
Symmetry
Geometry
Practice
Problem 1
For each figure, identify any lines of symmetry the figure has.
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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.
Three line segments form the letter Z. Rotate the letter Z counterclockwise around the midpoint of segment \(BC\) by 180 degrees. Describe the result.
Lines \(\ell\) and \(m\) are perpendicular.
Sometimes reflecting a point over \(m\) has the same effect as rotating the point 180 degrees using center \(P\). Select all labeled points which have the same image for both transformations.
\(m \perp \ell\)Perpendicular lines l and m, intersecting at Point P. Line L goes through A, P and E. Line M goes through B and P. Points D and C are to the right of point M. Point D sits above L, Point C sits below L.
Here is triangle \(POG\). Match the description of the rotation with the image of \(POG\) under that rotation.
\(90^\circ\)
\(180^\circ\)
A
B
C
D
E
Rotate 60 degrees clockwise around \(O\).
Rotate 120 degrees clockwise around \(O\).
Rotate 60 degrees counterclockwise around \(O\).
Rotate 60 degrees clockwise around \(P\).
Triangle P prime O prime G prime on an isometric grid. Point O prime faces downwards and to the left, P prime faces upwards, G prime faces downwards and to the right.
Triangle P prime O prime G prime on an isometric grid. Point O prime faces upwards and to the right, P prime faces downwards, G prime faces upwards and to the left.