The two figures are similar.

a) Write the similarity statement.
b) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
c) What is the scale factor? Explain.

Given:

Two similar figures.

Solution:

Part a:  

ΔABC and ΔA'B'C' are similar.

Similarity statement:

If two triangles are similar, then the corresponding sides are in proportion.

The sides are in the same ratio. Therefore the two triangles are similar.

Part b:

The sides of A'B'C' are greater than the original image ABC.

Therefore, the dilation A'B'C' is an enlargement.

Part c:

Scale factor:

K = 4

Scale factor = 4

K > 1

Therefore the image of the dilation is enlargement.

unless if u could do my questions, if not i wouldn't want to

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )