How Do You Find the Line of Symmetry for Isosceles Triangle ABC?

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SUMMARY

The discussion focuses on finding the line of symmetry for isosceles triangle ABC, where points A, B, and C are defined with specific coordinates and constraints. Point A is located at (4, 37), while points B and C lie on the line described by the equation 3y = 2x + 12. To determine the line of symmetry, participants emphasize that it must be perpendicular to the base BC and pass through point A. The solution requires calculating the slope of the line BC and using it to find the perpendicular slope for the line of symmetry.

PREREQUISITES
  • Understanding of isosceles triangle properties
  • Knowledge of coordinate geometry
  • Ability to calculate slopes of lines
  • Familiarity with the concept of perpendicular lines
NEXT STEPS
  • Learn how to derive the slope from the equation of a line, specifically for 3y = 2x + 12
  • Study the properties of perpendicular lines in coordinate geometry
  • Practice finding equations of lines given a point and a slope
  • Explore more examples of symmetry in geometric figures
USEFUL FOR

Students studying geometry, mathematics educators, and anyone seeking to understand the properties of isosceles triangles and their symmetry.

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ABC is an isosceles triangle such that
AB=AC
A has coordinates (4,37)
B and C lie on the line with equation 3y=2x+12

Find an equation of the line of symmetry of triangle ABC Give your answer in the form px + qy = r where p,q and r
 
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I've requested that this be moved to homework. In any case, before we can help you need to show how much of the problem you can do yourself.
 
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mark123 said:
ABC is an isosceles triangle such that
AB=AC
A has coordinates (4,37)
B and C lie on the line with equation 3y=2x+12

Find an equation of the line of symmetry of triangle ABC Give your answer in the form px + qy = r where p,q and r
Thread moved to the Homework Help forums.

@mark123 -- please show your work on this problem so that we can then provide tutorial help. We are not allowed to help you until you show your work. Thank you.
 
The line of symmetry of an isosceles triangle is always perpendicular to the base. Find the line through (4, 37) and perpendicular to 3y= 2x+ 12.
 

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