Identify reflection rule on a coordinate plane that verifies that triangle A(-1,7), B(6,5), C(-2,2) and A’(-1,-7), B(6,-5), C’(-
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Question:
Find the constant of proportionality k. Then write an equation for the relationship between x and y
Answer:
(a)
(b)
Step-by-step explanation:
Given
Solving (a): The constant of proportionality:
Pick any two corresponding x and y values
The constant of proportionality k is:
Solving (b): The equation
In (a), we have:
k can also be expressed as:
Substitute values for x1, y1 and k
Cross multiply:
Open bracket
Add 10 to both sides
For this case, what we must do is find the scale factor.
We have then that the scale factor is given by:
Where,
L1: side length of polygon ABCD
L2: side length of polygon PQRS
Note: both sides belong to the same side of each polygon
Substituting the values we have:
Rewriting we have:
Answer:
The scale factor of dilation is given by:
We have then that the scale factor is given by:
Where,
L1: side length of polygon ABCD
L2: side length of polygon PQRS
Note: both sides belong to the same side of each polygon
Substituting the values we have:
Rewriting we have:
Answer:
The scale factor of dilation is given by: