In right triangle abc, angle b is a right angle and sin of angle c=x cos angle a=

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1.Scale factor is 1/4

2. The coordinates are .P''(-1,0) ,Q''(0,-1),R''(2,-1)

Step-by-step explanation:

The formula for dilation is

A(x,y)A'(sx, sy) where s is the scale factor of dilation

Taking point R(-8,-4) R'(-2,-1)  finding the scale factor of dilation will be;

s(-8) = -2

s=-2/-8 = 1/4

scale factor is 1/4

2.Given that triangle P'(1,0), Q'(0,-1) and R'(-2.-1) then applying reflection about the y-axis, the formula states that the y-coordinate will remain the same but the x-coordinate will take an opposite sign

This will mean

P'(1,0)P''(-1,0)

Q'(0,-1)Q''(0,-1)

R'(-2.-1)R''(2,-1)