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===Learning Objectives===

===Learning Objectives===

======[[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.

Two objects are similar if they have the same shape, but not necessarily the same size. This means that we can obtain one figure from the other through a process of expansion or contraction, possibly followed by translation, rotation or reflection. If the objects also have the same size, they are congruent. Two triangles are said to be congruent to one another only if their corresponding sides and angles are equal to one another

Two objects are similar if they have the same shape, but not necessarily the same size. This means that we can obtain one figure from the other through a process of expansion or contraction, possibly followed by translation, rotation or reflection. If the objects also have the same size, they are congruent. Two triangles are said to be congruent to one another only if their corresponding sides and angles are equal to one another

==== Solved problems/ key questions (earlier was hints for problems).[edit | edit source] ====

==== Solved problems/ key questions (earlier was hints for problems) ====

===Additional Resources===

===Additional Resources===

* Syllabus documents (CBSE, ICSE, IGCSE etc)

* Syllabus documents (CBSE, ICSE, IGCSE etc)

=== Projects (can include math lab/ science lab/ language lab)[edit | edit source] ===

=== Projects (can include math lab/ science lab/ language lab) ===

=== Assessments - question banks, formative assessment activities and summative assessment activities ===

=== Assessments - question banks, formative assessment activities and summative assessment activities ===