Answer: The images from the Event Horizon Telescope (EHT) are consistent with what general relativity predicts. So if that's what the OP means by "confirm general relativity", then the answer is yes.

To appreciate the significance of the EHT images, we need to remember how science works. Theories are inspired by observations, but theories are not deduced from observations; we certainly cannot deduce general relativity from a single image. It's the other way around: theories make predictions. If the predictions consistently match what we observe, then we say that the theory works. Of course, contriving a theory that makes one prediction that matches one observation is trivial. Finding a theory that makes many predictions that match many observations is more challenging. General relativity is such a theory, and its agreement with this new observation — the images from the Event Horizon Telescope — is a nice addition to the large portfolio of general relativity's confirmed predictions.

The EHT images are an especially nice addition because they probe one of the less-explored extremes, namely close to an event horizon where extreme gravitational effects are predicted. (Thanks to Peter A. Schneider for suggesting this important point in a comment.)

Even though the black hole is enormous, it is so far away that the diameter of the imaged ring spans less than $20$ billionths of a degree ($<20times 10^-9$ degree) in the sky, so pristine resolution cannot be expected; the fact that they were able to resolve it at all is remarkable. Still, the image shows some general features that are consistent with what is expected from the light-bending effects associated with a rapidly spinning black hole in general relativity — not just any rapidly spinning black hole, but one whose size, mass, spin, and orientation are all consistent with other observations associated with that same black hole in the core of the galaxy M87.

A few of these observations are reviewed below, followed by comments on how the EHT images compare to predictions from general relativity.

Other observations: The jet

One of the most prominent associated observations is the jet emanating from the galaxy's core, shown here in images from the Hubble Space Telescope [$2$]:

To give a feeling for the scale of this picture, this is what hubblesite.org [$3$] says about the image:

At a distance of 50 million light-years, M87 is too distant for Hubble to discern individual stars. The dozens of star-like points swarming about M87 are, instead, themselves clusters of hundreds of thousands of stars each.

Here's another view of the jet, with scale-bars:

This image (from figure 2 in [$4$]) was made in 1999 using VLBI observations at a wavelength of 7 millimeters. The white dot marked $6r_S$ represents a circle with a diameter of $6$ times the alleged Schwarzschild radius. The scale bar marked "$1$ kpc" represents one kiloparsec, which is roughly 3000 light-years.

According to general relativity, a rapidly spinning black hole with an accretion disk can generate intense magnetic fields (but see [$5$]) that funnel material from the accreting plasma into a jet emanating along the black hole's axis of rotation. The fact that the observed jet is so straight over a distance of thousands of light-years implies that it must be produced by an engine that maintains a very consistent orientation for a time span of at least thousands of years, as a supermassive black hole is expected to do.

Other observations: The accretion disk

According to [$6$]:

HST [Hubble Space Telescope] imaged a disk of ionized gas, with a radius of $sim$ 50 pc [50 parsecs, roughly 150 light-years] centered on the galactic core... The high resolution of HST allowed the spectrum [which is sensitive to the Doppler effect] of this ionized gas to be measured as a function of position across the gas disk, thereby allowing the kinematics of the disk to be determined... It was found that the velocity profile of the central 20 pc of the gas disk possessed a Keplerian profile (i.e., $v propto r^-1/2$) as expected if the gas was orbiting in the gravitational potential of a point-like mass... The only known and long-lived object to possess such a large mass in a small region of space, and be as under-luminous as observed, is a SMBH [Super-Massive Black Hole].

In other words, these observations showed evidence for gas disk with the velocity profile that would be expected if it were orbiting a supermassive black hole. Note that the measured gas velocities on opposite sides of the central body differ from each other by roughly 1000 kilometers per second.

Other observations: The absense of strong surface emission

According to a report [$7$] published in 2015:

Observations at millimeter wavelengths with the Event Horizon Telescope have localized the emission from the base of this jet [shown above] to angular scales comparable to the putative black hole horizon. The jet might be powered directly by an accretion disk or by electromagnetic extraction of the rotational energy of the black hole. However, even the latter mechanism requires a confining thick accretion disk to maintain the required magnetic flux near the black hole. Therefore, regardless of the jet mechanism, the observed jet power in M87 implies a certain minimum mass accretion rate. If the central compact object in M87 were not a black hole but had a surface, this accretion would result in considerable thermal near-infrared and optical emission from the surface. Current flux limits on the nucleus of M87 strongly constrain any such surface emission. This rules out the presence of a surface and thereby provides indirect evidence for an event horizon.

Regarding why the event horizon of a black hole is expected to be so dim even though the intense fields generate a powerful jet, see these Physics SE posts:

• How can Quasars emit anything if they're black holes?




• How can cosmic jets exist?

Comparing the EHT images to predictions

Page 5 in the first event horizon telescope paper (L$1$ in [$1$]) says:

The appearance of M87* has been modeled successfully using GRMHD [general-relativistic magnetohydrodynamics] simulations, which describe a turbulent, hot, magnetized disk orbiting a Kerr black hole. They naturally produce a powerful jet and can explain the broadband spectral energy distribution observed in LLAGNs. At a wavelength of 1.3mm, and as observed here, the simulations also predict a shadow and an asymmetric emission ring.

Page 6 says:

...adopting an inclination of $17^circ$ between the approaching jet and the line of sight..., the west orientation of the jet, and a corotating disk model, matter in the bottom part of the image is moving toward the observer (clockwise rotation as seen from Earth). This is consistent with the rotation of the ionized gas on scales of 20 pc [20 parsecs, roughly 60 light-years], i.e., 7000 $r_g$ ["where $r_gequiv GM/c^2$ is the characteristic lengthscale of a black hole"]... and with the inferred sense of rotation from VLBI observations at 7 mm...

These excerpts say that when using black-hole parameters consistent with other observations, general relativity can predict the features of the images observed by the EHT. These features, including the reduced brightness in the center and the asymmetry of the brightness of the ring, with an orientation consistent with the observed jet, are hallmarks of a rapidly spinning black hole. In this sense, the images from the Event Horizon Telescope (EHT) do confirm general relativity.

The comparisons between general relativity's predictions and the observed images are described in detail in the fifth event horizon telescope paper (L$5$ in [$1$]), and some of them have already been reviewed on Physics SE:

• Why isn't the circumferential light around the M87 black hole's event horizon symmetric?

References:

[$1$] https://iopscience.iop.org/issue/2041-8205/875/1, Table of contents of The Astrophysical Journal Letters, volume 875, number 1 (2019 April 10), with six downloadable articles (L$1$ thorugh L$6$)

[$2$] https://www.nasa.gov/feature/goddard/2017/messier-87

[$3$] "Black Hole-Powered Jet of Electrons and Sub-Atomic Particles Streams From Center of Galaxy M87," http://hubblesite.org/image/968/news_release/2000-20

[$4$] "Formation of the radio jet in M87 at 100 Schwarzschild radii from the central black hole," Nature 401, 891-892 (1999), https://www.nature.com/articles/44780

[$5$] "A precise measurement of the magnetic field in the corona of the black hole binary V404 Cygni," Science 358: 1299-1302 (2017), https://science.sciencemag.org/content/358/6368/1299

[$6$] "Fluorescent iron lines as a probe of astrophysical black hole systems," https://arxiv.org/abs/astro-ph/0212065

[$7$] Broderick et al, "The Event Horizon of M87," https://arxiv.org/abs/1503.03873

If you google "m87 and general relativity" you get a list and videos on confirmation.

This is an exaggerated response to an interesting "photograph", because it looks just like what has been calculated using the theory of general relativity for black holes.

General relativity has been confirmed by many cosmological observations, including the calculations for the GPS signal and black holes were proposed within the framework of General relativity by Karl Schwarzschild . It is very interesting that the image developed exactly in the topology predicted by the GR equations, but the validation of GR did not really depend on this. (If a funny topology not predicted had been seen it would actually be more interesting because it would have to be modeled by something more complicated than a Kerr black hole., and maybe a modification to GR might have been proposed) .

So the image is consistent with the expectation of a Kerr black hole, and in this sense it validates General Relativity.

There are two main aspects to the observations that are consistent with the predictions of GR and where the measurements stood a realistic chance of falsifying GR (and that is all you can do - design experiments capable of falsifying theories).

The first is that the bright photon ring radius is to within about 10% of the prediction of GR for a black hole with a mass independently determined from the motions of stars in the central regions of M87.

The second is that the black hole "shadow" is almost circular, to better than 10%. Again, this is predicted by GR in all but some extreme combinations of spin and spin-axis orientation. The maximum non circularity of the shadow caused by a Kerr black hole is 10% (see section 9.5 of the fifth Event Horizon Telescope M87 papers). Other explanations for the space-time distortion could have resulted in more oblate/prolate shadows.

As some other answers say, the question "does this confirm General Relativity" gets it the wrong way round.

GR is our current best understanding of how mass distorts spacetime, giving rise to many phenomenae we see around us. GR explains these as a result of distorted spacetime. It's incredibly accurate and has been tested in many, many ways.

Without it, everyday things like satnav/GPS couldn't work, so it's also directly relevant to daily life. (GPS is so sensitive to timing that its calculations have to allow for the effects of General and Special Relativity)

But because it's only our current best understanding, it's also likely and expected that GR will be eventually found to be "wrong enough on some things" that it will be superseded by some better theory in future. This happened to Newton's Laws of Motion - they are good enough for many parts of daily life, but we now know they aren't accurate in a lot of situations that exist, in which Special and General Relativity are more accurate.

Why tests are important

Because GR is our current "best theory", and relied on a lot, it is useful to know how accurately it matches experimental results, for at least 6 reasons:

• to find (or double check) where we can rely on it, and if there are any places we can't rely on it. (This is especially valuable if the test was of of a kind that hasn't been done before, or if the test acts as a double-check on some existing test that hasn't been reproduced before).


• to find where it seems to predict something which doesn't match what we see - this might suggest areas where we can look for "new physics" or unknown knowledge about the universe we are in, or alternatively, it can suggest how to improve in the care needed by experimenters and theorists, to avoid misinterpretations


• to tell us if our experimental technique is sound, and whether a particular technique is capable of being used, or if it's working properly


• For general education about science (in some high profile cases)


• to explain to governments that their funding is useful and produces valuable knowledge. Funding is needed but must compete with other national needs, so showing results is useful.


• Some tests require developing whole new methods, algorithms, computer technology, and analytic techniques, which then have wider benefits. For example, the Large Hadron Collider required development of entire data storage and distributed networking methods which have been used in cloud computing and the wider computing world.

The Black Hole photograph's importance

In that sense, the imaging of a black hole is important. That isn't because it 'proves" GR is correct (it can't), but because of these same 6 reasons:

• 
  it confirms that GR is reliable enough that what it predicts a Black Hole should look like, if we could ever photograph one, really does seem to match what we see when we do actually photograph one from billions of light years away. Even with the naked eye, we can see the accretion disk, the shadow, the black centre, and the effects of rotation and temperature on the bright areas. Probably when the image is analysed very closely, it might also confirm that we see many other things that match what GR said we should expect, which aren't easy to see with the naked eye. The photograph could have looked very different from the prediction, but it didn't.
  It is also the first test of its kind.


• 
  it may contain extra data that when studied, lets us improve current theories about the universe (and the lives of objects within it), or helps us to narrow down what theories and parameters can be "correct"


• 
  it tells us that our technique of ultra long range photography using this new technique is sound, so we can move forward and improve it, or use it to view other objects directly.


• it is dramatic, so many people will read it and learn more about the universe.
  So it can be educational
  


• 
  it shows that the funding aim was successfully achieved when the project was funded.


• 
  it required whole new algorithms and techniques to be developed, which may be beneficial to society or in other future projects, and which can themselves be built upon and expanded.
  Nothing like it, on this scale, had been tried before.

Comment

It's only in that sense that this experiment and the Black Hole photo "confirms" anything. But it can still only be one more piece of evidence that so far, GR isn't letting us down.

It doesn't change the fact that ultimately we do expect that some limit to GR's accuracy will probably be found, or we will encounter a new situation where GR doesn't apply very well. When that happens, we hope that a better theory will arise that matches GR in the areas GR works, and also matches those new findings in the areas GR doesn't work. So far, this isn't a test that shows a limit has been found, though.

So it's win-win really, either we prove our existing theories work in an even more extreme or novel case, or we get a hint of an unexpected difference which will help us to understand things better (either improving our tests to remove a mistake, or improving our theory if the test was correct).