Answer:
A. (AB/BC)=(CE/ED)
Step-by-step explanation:
Property of similar triangles :
If two triangles are similar then the corresponding sides are in same proportion,
Here,
By the above property,
Hence, the column prove would be,
Statements Reason
1. AC ⊥ CD
Δ ABC is similar to ΔCED Given
2. (AB/BC)=(CE/ED) Property of similar triangle
3. Slope of AC = -AB/BC Definition of slope
Slope of CD = ED/CE
4. Slope of AC × Slope of CD Multiplying the slopes
= -AB/BC × ED/CE
5. Slope of AC × Slope of CD Substitution property of equality
= -CE/ED × ED/CE
6. Slope of AC × Slope of CD = -1 Simplifying the right side.
Hence, option 'A' is correct.
The vertex of the parabola is (1, 2), focus of the parabola is (-2, 2), and directrix x = 4.
<h3>What is a parabola?</h3>It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a parabola equation:
The standard form of the parabola:
(h, k) is the vertex of the parabola and (f, k) is the focus.
h = 1, k =2, and f = -2
The directrix is x = 4
Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.
Learn more about the parabola here:
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