diff --git a/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md b/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md
index 279fa68..766c575 100644
--- a/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md	
+++ b/Grade 10/Math/MPM2DZ/Unit 1: Analytical Geometry.md	
@@ -60,4 +60,42 @@ Let $`x_c, y_c`$ be the center
 
 $`(x - x_c)^2 + (y - y_c)^2 = r^2`$ 
 
-To get the center, just find a $`x, y`$ such that $`x - x_c = 0`$ and $`y - y_c = 0`$ 
\ No newline at end of file
+To get the center, just find a $`x, y`$ such that $`x - x_c = 0`$ and $`y - y_c = 0`$ 
+
+## Triangle Centers
+
+## Centroid
+The centroid of a triangle is the common intersection of the 3 medians. The centroid is also known as the centre of mass or centre of gravity of an object (where the mass of an object is concentrated).
+
+### Procedure To Determine The Centroid
+1. Find the equation of the two median lines. **The median is the line segment from a vertex from a vertex to the midpoint of the opposite side**.
+2. Find the point of intersection using elimnation or substitution.
+
+- Alternatively, only for checking your work, let the centroid be the point $`(x, y)`$, and the 3 other points be $`(x_1, y_1), (x_2, y_2), (x_3, y_3)`$ respectively, then the
+centroid is simply at $`(\dfrac{x_1 + x_2 + x_3}{3}, \dfrac{y_1+y_2+y_3}{3})`$
+
+## Circumcentre
+The circumcentre ($`O`$) of a triangle is the common intersection of the 3 perpendicular bisectors of the sides of a triangle.
+
+### Procedure To Determine The Centroid
+1. Find the equation of the perpendicular bisectors of two sides. **A perpendicular (right) bisector is perpendicular to a side of the triangle and passes through the midpoint of that side of the triangle**.
+2. Find the point of intersection of the two lines using elimination or substitution.
+
+
+## Orthocentre
+The orthocenter of a triangle is the common intersection of the 3 lines containing the altitudes.
+
+### Procedure To Determine The Orthocentre
+1.Find the equation of two of the altitude lines. **An altitude is a perpendicular line segment from a vertex to the line of the opposite side.**
+2. Find the point of intersection of the two lines using elimination or substitution.
+
+
+## Classifying Shapes
+
+<img src="https://files.catbox.moe/3cfs4h.png" width="600">
+
+
+## Properties Of Quadrilaterals
+
+<img src="https://files.catbox.moe/asixh9.png" width="500">
+