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2 answers:
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Transforming a shape involves changing the size and/or the location of the shape.
- The rule that will take the triangle to a congruent triangle is
- The rule that will take the triangle to a figure that is similar is
.
- The rule that will take the triangle to a figure that is not similar or congruent is
.
When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.
An example of a rigid transformation is a reflection over the x-axis; and the rule is:
So, a rule that will take the triangle to a congruent triangle is
When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar
An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:
So, a rule that will take the triangle to a figure that is similar is
However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.
A rule that will take the triangle to a figure that is not similar or congruent is .
Read more about transformation at:
Xy=10
x+y=29
subtract x from both sides for second equation
y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x=
so
x^2+29x+10=0
a=1
b=29
c=10
x=
x=
x=
x=
x=
or 
those are the 2 numbers
aprox=-28.65 and -0.349
x+y=29
subtract x from both sides for second equation
y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x=
so
x^2+29x+10=0
a=1
b=29
c=10
x=
x=
x=
x=
x=
those are the 2 numbers
aprox=-28.65 and -0.349