Centroid and Medians in Triangles

Centroid and Medians in Triangles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Medium

Created by

Thomas White

Used 1+ times

FREE Resource

The video tutorial explains the concept of the centroid in a triangle, which is the point where the triangle's median lines intersect and acts as the center of mass. It describes how to find the centroid by intersecting two median lines and provides a quicker method using averages of the triangle's vertices. An example calculation is demonstrated to illustrate the process.

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23 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the centroid of a triangle?

The point where all perpendicular bisectors meet

The point where all angle bisectors meet

The point where all medians intersect

The point where all altitudes meet

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the centroid considered the center of mass?

It is the point where the triangle's weight is balanced

It is the point where the triangle's angles are equal

It is the point where the triangle's area is maximum

It is the point where the triangle's sides are equal

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many median lines does a triangle have?

Three

Four

Two

One

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a median line in a triangle?

A line from a vertex to the opposite side's angle bisector

A line from a vertex to the opposite side's perpendicular bisector

A line from a vertex to the opposite vertex

A line from a vertex to the opposite side's midpoint

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where do the median lines of a triangle intersect?

At the orthocenter

At the incenter

At the centroid

At the circumcenter

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many median lines need to be intersected to find the centroid?

Three

One

All of them

Two

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in calculating the centroid using coordinates?

Draw the triangle

Add up all y-coordinates

Add up all x-coordinates

Find the midpoint of each side

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