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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 14: Q32. (page 582)

In each exercise $R_{k} : A \to A'$ . Find an equation of line k.

Short Answer

Expert verified

The equation is obtained as,

$y = c$

Step by step solution

01

Step 1. Given Information.

The given points are $(5, 0) and (9, 0)$ .

02

Step 2. Concept Used.

$\begin{array}{l} y = m x + c \\ where \\ m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \end{array}$

03

Step 3. Calculation.

The line of the given points can be obtained as,

$\begin{matrix} m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \\ m = \frac{0 - 0}{9 - 5} \\ m = 0 \\ y = c [wherecisconstant] \end{matrix}$

04

Step 4. Conclusion.

Therefore, the equation is obtained as,

$y = c$

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Most popular questions from this chapter

In each exercise $R_{k} : A \to A'$ . Find an equation of line k.

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along $\vec{O P}$ to a point $P'$ of the cylinder.

Does the North Pole (pointN) have an image?

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

$R_{k} (B) = \underline{?}$

Draw the x-axis and y-axis and the line l with equation $y = - x$ . Plot several points and their images under $R_{l}$ . What is the image of $(a, b)$ ?

Plot the three points $A (0, 4)$ , $B (4, 6)$ and $C (2, 0)$ ,and their images $A'$ , $B'$ , and $C'$ under the transformation $T : (x, y) \to (x + 4, y - 2)$ .
State whether the transformation appears to be an isometry.
Find the pre image of $(12, 6)$ .

See all solutions

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