6. Draw an isosceles triangle. Draw all of its medians and altitudes. Write your observation about their points of concurrence.

Step 1: Draw an Isosceles Triangle An isosceles triangle is a triangle that has two sides of equal length. You can draw this by first drawing a straight line, then drawing two more lines of equal length from each end of the first line so that they meet at a point above it.

Step 2: Draw the Medians The medians of a triangle are the lines from each vertex to the midpoint of the opposite side. To draw these, find the midpoint of each side of the triangle and draw a line from the opposite vertex to this point.

Step 3: Draw the Altitudes The altitudes of a triangle are the perpendicular lines from each vertex to the line of the opposite side. To draw these, from each vertex draw a line perpendicular to the opposite side.

Step 4: Observe the Points of Concurrence The point of concurrence is the point where the medians or altitudes intersect. In an isosceles triangle, you will observe that all three medians intersect at a single point, known as the centroid. This point also serves as the triangle's center of gravity. Similarly, all three altitudes intersect at a single point, known as the orthocenter.

In an isosceles triangle, the centroid and the orthocenter coincide with each other and are located at the same point. This is a unique property of isosceles triangles.