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Adithya27
20.12.2020 •
Mathematics
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Ответ:
no
Step-by-step explanation:no\
Ответ:
Ответ:
GF and G'F' both pass through the center of dilation
Step-by-step explanation:
we know that
If two figures are similar, then the corresponding sides are proportional and the corresponding angles are congruent
so
Verify each statement
case A) The slope of EF is the same as the slope of E'H'
The statement is false
Because, after the dilation, the slopes of the corresponding sides are equal
EF and E'F' are not corresponding sides
so
mEF=mE'F'
mFG=mF'G'
mEG=mE'G'
mEH=mE'H'
case B) E'G' will overlap EG
The statement is false
Because the length of the image E'G' is equal to multiply the length of the pre-image EG by the scale factor
The scale factor is 1/2
E'G'=EG(1/2)
therefore
E'G' < EG
case C) GF and G'F' both pass through the center of dilation
The statement is true
Because, the coordinates of point F will be the same than the coordinates of point F' (the center of dilation don't move)
case D) EF=E'F'
The statement is false
Because the length of the image E'F' is equal to multiply the length of the pre-image EF by the scale factor
The scale factor is 1/2
E'F'=EF(1/2)
therefore
E'F' < EF