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Answer:
From the given graph:
the coordinates of triangle RST are;
R= (2, 1),
S= (2,-2),
T= (-1,-2)
Given: Scale factor = and center of dilation at (2,2)
The mapping rule for the dilation applied to the triangle as shown below:
; where k represents the scale factor i.e,
or we can write it as ;
For R=(2, 1)
The image R' =
⇒ R'=
Similarly for S= (2, -2) and T= (-1,-2)
therefore, the image of S'=
⇒ S'=
The image of T' =
⇒T' =
Now, labelling the image of triangle R'S'T' as shown in the figure given below
Given:
The equation is:
A model with 3 rows of 8 and 3 rows of 4.
To find:
The missing value in Ming's equation.
Solution:
We have,
...(i)
A model with 3 rows of 8 and 3 rows of 4. Using this information, we get
Taking out the common factor 3, we get
...(ii)
On comparing (i) and (ii), we get the missing value is 3.
Therefore, the missing value in Ming's equation is 3.