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======[[Exploring concurrent lines from given surroundings]]======
======[[Exploring concurrent lines from given surroundings]]======
Interactive activity to introduce concurrent lines using examples from our surroundings.
Interactive activity to introduce concurrent lines using examples from our surroundings.
=====Concept #: Concurrency of medians in triangles.=====
=====Concept #: Concurrency of medians in triangles.=====
Median of a triangle is a line segment from a vertex to the midpoint of the opposite side. A triangle has three medians. Each median divides the triangle into two smaller triangles of equal area. The medians of a triangle are concurrent and the point of concurrence is called the centroid. The centroid is always inside the triangle. The centroid is exactly two-thirds the way along each median. i.e the centroid divides each median into two segments whose lengths are in the ratio 2:1, with the longest one nearest the vertex.
Median of a triangle is a line segment from a vertex to the midpoint of the opposite side. A triangle has three medians. Each median divides the triangle into two smaller triangles of equal area. The medians of a triangle are concurrent and the point of concurrence is called the centroid. The centroid is always inside the triangle. The centroid is exactly two-thirds the way along each median. i.e the centroid divides each median into two segments whose lengths are in the ratio 2:1, with the longest one nearest the vertex.
======[[Marking centroid of a triangle|Marking centroid of the triangle]]======
======[[Marking centroid of a triangle|Marking centroid of the triangle]]======
This is a hands on activity to explore concurrent lines formed in a triangle when vertices are joined to the midpoints of the opposite side.
This is a hands on activity to explore concurrent lines formed in a triangle when vertices are joined to the midpoints of the opposite side.
======[[Medians and centroid of a triangle]]======
======[[Medians and centroid of a triangle]]======
The centroid of a triangle is where the three medians intersect. This activity will show you how to find the centroid and you’ll explore several geometric relationships related to centroid and medians.
The centroid of a triangle is where the three medians intersect. This activity will show you how to find the centroid and you’ll explore several geometric relationships related to centroid and medians.
=== Assessments - question banks, formative assessment activities and summative assessment activities ===
=== Assessments - question banks, formative assessment activities and summative assessment activities ===
[[Category:Class 9]]
[[Category:Class 8]]