Magnify the triangle with vertices a(0,0), b(1,1) and c(5,2) to twice its size while keeping c(5,2) fixed.
Answers
Answer: The vertices of the magnified triangle to twice its size is a(-5,-2), b(-3,0), and c(5,2) keeping c(5,2) fixed.
Step-by-step explanation:
If we want to magnify the triangle abc to twice its size keeping c(5,2) fixed, we need to execute the following steps:
Step 1: First, we need to translate the triangle by T_(-5,-2) so that point c(5,2) become c(0,0).
Step 2: Then make its size twice using the scale factor of 2.
Step 3: After following the above steps, we need to translate the triangle back i.e. translate the triangle by T_(5,2).
=> T_(a,b) moves all the points by a unit in x-direction and b unit in the y-direction.
So, translating the triangle by T_(-5,-2)
a(0,0) -> a(0-5,0-2)= a(-5,-2)
b(1,1) -> b(1-5,1-2)= b(-4,-1)
c(5,2) -> c(5-5,2-2)= c(0,0)
Now, magnifying the its size twice with scale factor of 2,
a(-5,-2) -> a(-5*2,-2*2)= a(-10,-4)
b(-4,-1) -> b(-4*2,-1*2)= b(-8,-2)
c(0,0) -> c(0*2,0*2)= c(0,0)
Executing the last step, we get:
a(-10,-4) -> a(-10+5,-4+2)= a(-5,-2)
b(-8,-2) -> b(-8+5,-2+2)= b(-3,0)
c(0,0) -> c(0+5,0+2)= c(5,2)
Answer:
Step-by-step explanation: