Answer:
Rotations, reflections and translations.
Step-by-step explanation:
Rotations, reflections and translations are transformations that preserve the both the angle measurements and the lengths of the sides, so congruence is preserved.
Dilations are transformations that keep the angle measurements, but the side lengths change, so the transformation is similar, not congruent.
Answer:
Step-by-step explanation:
The slope intercept form is 
.
The "
" is the slope; which in this case is -3. So 
.
The "
" is the y-intercept, which is this case is the -8 because it is the 2nd number in the coordinate point.
This is why the answer is .
Answer:
12.3 feet.
Step-by-step explanation:
As we are given that 
is an right angled triangle.
And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.
By using Trigonometric functions in a right angled 
, we know that:
Here, 
is 
, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.
So, 
Putting the values of <em>PN </em>and 
.
Hence, the value of <em>OP </em>is 
.
