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Which transformations will produce similar, but not congruent, figures?



A) Triangle MNO

is reflected across the y-axis and then dilated by a scale factor of 1.8 to form

triangle M"N"O"

B) Triangle MNO

is reflected across the x-axis and then rotated 90° clockwise to form

triangle M"N"O"

C) Triangle MNO

is reflected across the y-axis and then rotated 180° clockwise to form

triangle M"N"O"

D) Triangle MNO

is reflected across the x-axis and then translated 9 units down to form

triangle M"N"O"

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

greater than one

step-by-step explanation:

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: