With questions 3,4,and 5
see questions on sheet

For Question Number 3 :

Option 2 is correct as x is 6 units left means it has been subtracted by 6 units, it becomes x-6 and y is 6 units down it means it has also been subtracted by 6 units which becomes y-6.

For Question Number 4 : The correct answer is option 3.

Step-by-step explanation: As the reflection is along the line y=1, it simply means that x coordinate will remain constant which is 3. Now as the point is (3,10) which means it is 9 units up the line y=1 and so it will be down 9 units from the line y=1. As the law of reflection says that it has to be same on both the sides. hence 9 units down from the line y=1 means y=-8. So coordinate of the reflection of that point becomes (3,-8).

For Question Number 5 : The given vertices are P(4,1),Q(2,-8) and R(-8,1)

Now reflection along Y Axis , P' becomes (-4,1)

Q' becomes (-2,-8) and R' becomes (8,1). hence these are the new vertices of the triangle.Option 2 is the correct option.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.