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 translated 9 units down to form triangle m"n"o". c) triangle mno is reflected across the x-axis and then rotated 90° clockwise to form triangle m"n"o". d) triangle mno is reflected across the y-axis and then rotated 180° clockwise to form triangle m"n"o".

 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".

Step-by-step explanation:

We know that we prefer rigid motions to create congruent images.

There are four kinds of rigid motions:  

1) translation 2) reflection 3) rotation 4) glide reflection.

But a dilation is a transformation that creates an image having similar shape as the original, but with a different size.

So it does not create congruent images.

Hence transformations will produce similar, but not congruent, figures is :

Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O".

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct