kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
9.16 Centroid of a Triangle

To find the centroid of a triangle whose vertices are given

Let A(x1, y1), B(x2, y2) and C(x3, y3) be the vertices of the triangle ABC. Let AD be the median bisecting the base.
Then D = {(x2 + x3)/2, (y2 + y3)/2}
Now the point G on AD, which divides it internally in the ratio 2:1, is the centroid. If (x,y) are the coordinates of G, then
x = 2x(x2+x3)/2 + (1 x x1)/2+1 = (x1+x2+x3)/3
y = 2x(y2+y3)/2 + (1 x y1)/(2+1) = (y1+y2+y3)/3
Hence, the coordinates of the centroid are given by
x = (x1+x2+x3)/3, y = (y1+y2+y3)/3.

Directions: Solve the following.
Q 1: Find the centroid of the triangle whose angular points are (3, -5), (-7, 4) and (10, -2) respectively.
(-2, -1)
(2, 1)
(-2, 1)
(2, -1)

Q 2: If (2,4) is the centroid of the triangle two of whose vertices are (7,1) and (2,7). Find the remaining vertex.
(-3,-4)
(-3,4)
(3,4)
(3,-4)

Question 3: This question is available to subscribers only!

Question 4: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer