on the graph paper plot a point p (-3,2). plot reflections of point p in x-axis and y-axis denote these points by q and r respectively . name the type of triangle pqr so formed answer fast plz
Answers
Given : point p (-3,2). plot reflections of point p in x-axis and y-axis denote these points by q and r respectively
To find : name the type of triangle pqr so formed
Solution:
p = (-3 , 2)
reflections of point p in x-axis ( x axis remains same , y axis sign change)
=> q = (-3 , - 2)
reflections of point p in y-axis ( y axis remains same , x axis sign change)
=> r = ( 3 , 2)
p = (-3 , 2) q = (-3 , - 2) r = ( 3 , 2)
pq ║ y axis
pr ║ x axis
=> pq & pr are perpendicular to eeach other
Hence Δpqr is right angle triangle
pq = 4
pr = 6
qr = √4² + 6² = √60
or qr = √(3 -(-3))² + (2 -(-2))² = √6² + 4² = √60
Pythagoras also verified
Δ pqr is right angle triangle
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