Answer:
I got 6 and 28/99
Step-by-step explanation:
I put it in a calculator about 10 times and this was the answer every time, sorry if it wasn't helpful
Since rectangle ABCD is similar to HGFE, the ratios of the lengths of their corresponding sides are equal. We can infer form our picture that AD is corresponding to EH and DC is corresponding to HG, so lets find the ratios of those corresponding sides and establish a proportion to find the length of HG:
We know that
,
, and
, so lets replace those values in our proportion:
We can conclude that the length of the segment
HG is 9.
Similar polygons are made through scaling either by stretching or squeezing the sides all by a common ratio. Here, the size changes. Congruent polygons are made by shifting or reflecting their position. Here, the size does not change.
Choice A has a dilution (or squeezing) and a translation (shifting). That makes similar polygons.
Choice B has a rotation. Nope.
Choice C has a shifting and a reflection. Nope.
Choice D has a rotation and shifting. Nope.
Thus choice A is best.
You have not provided the coordinates of the original points, therefore, I cannot give exact answers.
However, I can help you with the concept.
We are given that the translation rule here is:
(x,y) ................> (x+3 , y+2)
This means that:
x coordinate of the translated point can be obtained by adding 3 to the x coordinate of the original point
y coordinate of the translated point can be obtained by adding 2 to the y coordinate of the original point
Examples:
point (2,3) after translation would become (2+3 , 3+2) which is (5,5)
point (-1,0) after translation would become (-1+3 , 0+2) which is (2,2)
Hope this helps :)
Step-by-step explanation:
