Answer:
A. <em>ΔJKL is not congruent to ΔJ'K'L' because the rules do not represent a sequence of rigid motions.</em>
Step-by-step explanation:
ΔJKL is mapped to ΔJ'K'L' using the rules
followed by 
From geometry we know while rotating, reflecting and translating the size of the figure remains as it is, so they are congruent.
But in case of dilation the figure gets resized i.e their size gets changed. So they are similar not congruent.
In this case, first the triangle goes under
i.e 2 units translated to right and 3 units translated to up.
But after then it undergoes
, where it undergoes a dilation of factor 2, so it is no more congruent to the original figure.
Answer:
work is shown and pictured
Answer:
No
Step-by-step explanation:
The sum of two sides of any triangle must be greater than the remaining side.
12+6>4
18>4
12+4>6
16>6
6+4<12
10<12
^This one doesn't work^
1/2 of 32 is equal to 16.
The equation of the line is
4b + a = 0
The slope of the line is
m = -1/4
With a rise of 1 and run of -4 which corresponds to a hypotenuse of
√(4² + (-1)²) = √17
Therefore, the sine of the angle is
sin θ = 1/√17<span />