She never said PP offers mammograms. She said, "PP helps women with breast cancer screening."
You had to put the mammogram word in her mouth, creating a strawman that you could then knock down.

The WaPo article you link to says:
"Planned Parenthood’s annual report shows it gave 487,029 breast exam services for women in 2013. This is a clinical breast exam, checking for changes or lumps in women’s breasts. If the doctor finds something abnormal or worth checking out, the patient is referred for a mammogram, which requires X-rays given at a licensed radiology facility. Planned Parenthood does administer Pap tests and HPV tests, both of which screen for cervical cancer."

That is consistent with what deadsmoke wrote. As usual, the only one lying is you.