To classify triangle $\Delta ABC$ by its angles and sides, we need to analyze its properties based on the coordinates of its vertices. You can either provide the specific coordinates of points $A$, $B$, and $C$, or you can upload an image with the plotted points.

Once I have the coordinates or the image, I will proceed to:

1. Calculate the lengths of each side using the distance formula.
2. Determine the angles using either the slope or trigonometric methods.
3. Classify the triangle by its angles (acute, obtuse, or right) and by its sides (scalene, isosceles, or equilateral).

Feel free to provide the coordinates or an image. Would you like to proceed with any of those?

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Here are some related questions to consider:

1. What is the general method for finding the length of a triangle's sides given coordinates?
2. How can you determine if a triangle is right-angled using coordinate geometry?
3. What makes a triangle isosceles, scalene, or equilateral?
4. How do you calculate angles of a triangle using side lengths?
5. What role does the Pythagorean theorem play in classifying triangles?

Tip: The distance formula for two points $(x_1, y_1)$ and $(x_2, y_2)$ is $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.