Grade 10 Exam  >  Grade 10 Notes  >  Mathematics for Grade 10  >  Geometric Problem Solving

Geometric Problem Solving | Mathematics for Grade 10 PDF Download

Geometric Problem Solving - Higher


Geometric problems can be solved using the rules for adding and subtracting vectors and multiplying vectors by a scalar.

Example:
OABC is a parallelogram. Geometric Problem Solving | Mathematics for Grade 10 is represented by the vector a and Geometric Problem Solving | Mathematics for Grade 10 is represented by the vector c.
M is the mid-point of BC and N is the point on OB such that ON:NB = 2:1.

  • Find expressions for these vectors, giving the answers in the simplest form: Geometric Problem Solving | Mathematics for Grade 10
  • Show that points A, N and M lie on a straight line.
    Geometric Problem Solving | Mathematics for Grade 10

Part 1:
Point N is 2/3 of the distance from O to B.
Geometric Problem Solving | Mathematics for Grade 10
Point M is half the distance from C to B.
Geometric Problem Solving | Mathematics for Grade 10
Geometric Problem Solving | Mathematics for Grade 10

Part 2: 
To prove that points A, N and M lie on a straight line:
Show Geometric Problem Solving | Mathematics for Grade 10 is a multiple of Geometric Problem Solving | Mathematics for Grade 10
Geometric Problem Solving | Mathematics for Grade 10
Therefore Geometric Problem Solving | Mathematics for Grade 10 are parallel. They also share a common point A so they lie on the same straight line.
Points which lie on the same straight line are called collinear.

The document Geometric Problem Solving | Mathematics for Grade 10 is a part of the Grade 10 Course Mathematics for Grade 10.
All you need of Grade 10 at this link: Grade 10
138 videos|67 docs|41 tests

Top Courses for Grade 10

138 videos|67 docs|41 tests
Download as PDF
Explore Courses for Grade 10 exam

Top Courses for Grade 10

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Viva Questions

,

Geometric Problem Solving | Mathematics for Grade 10

,

ppt

,

MCQs

,

pdf

,

practice quizzes

,

Geometric Problem Solving | Mathematics for Grade 10

,

Objective type Questions

,

Summary

,

shortcuts and tricks

,

past year papers

,

Important questions

,

Free

,

Exam

,

Extra Questions

,

study material

,

video lectures

,

Previous Year Questions with Solutions

,

mock tests for examination

,

Geometric Problem Solving | Mathematics for Grade 10

,

Semester Notes

,

Sample Paper

;