The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.
<h3>What is the Slope of the Sides of Similar Triangles?</h3>
On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.
Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.
Thus, slope of AC = slope of CE.
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Answer:
h = 5 and k = -8.
Step-by-step explanation:
The parent equation is f(x) = x², which is the equation of a parabola having the vertex at point (0,0).
The original equation is given by g(x) = (x - 5)² + k, ⇒ y = (x - 5)² + k
⇒ y - k = (x - 5)²
So, the vertex of the original equation is at (5, k) which is given to be (5, -8)
Therefore, h = 5 and k = -8. (Answer)