Answer:
D
Step-by-step explanation:
Congruent sides mean that they have "EQUAL" lengths.
So, to prove to sides are congruent means that their lengths are equal.
Slope gives the slope of a line. So this can't be it.
Area gives the area of figure. Nothing to do with congruency of 2 lines.
Midpoint formula gives the coordinates of the midpoint. Nothing here.
Distance formula gives the length of sides. So, this is the one we can use to prove that a figure has congruent sides. We can place the figure in coordinate system and find the length of 2 respective sides using "distance formula"
Correct answer is D
Three I think. Might be wrong
The radius is 12 so the diameter is 24.
Answer:
6
Step-by-step explanation:
If minus stands before parenthesis the sign in the parenthesis changes to the opposite
We have the following points and their coordinates:
We must compute the distance ST between them.
The distance ST between the two points is given by:
![ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},](https://tex.z-dn.net/?f=ST%3D%5Csqrt%5B%5D%7B%28x_S-x_T%29%5E2%2B%28y_S-y_T%29%5E2_%7B%7D%7D%2C)
where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.
Replacing the coordinates of the points in the formula above, we find that:
![\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20ST%3D%5Csqrt%5B%5D%7B%28-3_%7B%7D-%28-2%29_%7B%7D%29%5E2%2B%2810_%7B%7D-3_%7B%7D%29%5E2_%7B%7D%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B1%5E2%2B7%5E2%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B50%7D%5Ctext%7B.%7D%20%5Cend%7Bgathered%7D)
Answer: ST = √50
