Answer:
Step-by-step explanation:
I'll do three of these. I'll try and vary them as much as possible.
Number 1
Remark
Read this carefully.
Rule: If you are reflecting across the line y= x (which you are) the rule is Point (x,y) becomes point (y,x). So now you have to set up a table using this transformation.
Now you have to follow the example most carefully. Notice how x and y are interchanged. There is no sign change with this example.
Given points Transforms into
- (1,-2) ========> (-2,1)
- (2,-1) ========> (-1,2)
- (3,-3) ========> (-3,3)
The diagram for this transformation is on the left.
Question Two
I'm going to take a chance here and say that the reflection takes place across y = - x (Your diagram is cut off).
If I am right, then the rule is
Rule for line y = -x
Rule: The point (x,y) transforms into (-y,-x) What that means is that you interchange x and y. While you are at it, you put minus signs in front of x and y when they switched.
Diagram Points Switched points.
- (-4,-1) ================> (1,4)
- (-4,-5) ================> (5,4)
- (-2,-5) ================> (5,2)
- (-2,-4) ================> (4,4)
- (-4,-1) ================> (4,1)
Problem 5
This is a reflection across the x axis.
Rule: the object reflected across the x axis will <em>not</em> change the x value but the y value will become -y
Diagram points Switched Points
- (1, - 1) ====================> (1,1)
- (4, -1) ====================> (4,1)
- (3, -5) ====================> (3,5)
