Test Polar Symmetry

How do you test for symmetry with respect to the polar axis?

• replace $r$ with $-r$

How do you test for symmetry with respect to the pole?

• replace $r$ with $-r$

Classify the curve.
r=1+\cos\theta

• inner loop limacon

• cardiod

• dimpled limacon

• convex limacon

Classify the curve.

• inner loop limacon

• cardiod

• dimpled limacon

• convex limacon

Classify the curve.

• inner loop limacon

• cardiod

• dimpled limacon

• convex limacon

The polar graph is symmetric about _____.

• the polar axis

• the pole

What is the equation for this graph?

• All symmetries

• Over the polar axis

• Over the pole

Test the polar curve r^2=4\cos2\theta for symmetry. Describe the symmetry. SELECT ALL THAT APPLY.

• Over the polar axis

• Over the pole

• Symmetry cannot be determined.

What is the equation for this graph?