11. Q11
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Similar Question 1
<p>Verify that point <code class='latex inline'>C</code> is equidistant from the three vertices of <code class='latex inline'>\triangle DEF</code>.</p><img src="/qimages/5016" />
Similar Question 2
<p><code class='latex inline'>\triangle JKL</code> has vertices at <code class='latex inline'>J(-2,0), K(2,8), </code> and <code class='latex inline'>L(7,3)</code>. Use analytic geometry to determine the coordinates of the circumcentre (the point where the perpendicular bisectors intersect).</p>
Similar Question 3
<p>a) Plot the triangle with vertices <code class='latex inline'>D(6, 8), E(1, 8)</code>, and <code class='latex inline'>F(4, 2)</code>.</p><p>b) Determine the equation of the right bisector of side DE.</p><p>c) Determine the equation of the right bisector of side EF.</p><p>d) Determine the coordinates of the point</p><p>of The intersection, M, of the right bisectors in parts a) and b).</p><p>e) Show that point M is equidistant from vertices D, E, and F.</p>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>How would you find the location that is equal distance to three locations on a map? Describe.</p><img src="/qimages/22178" />
<p>a) Plot the triangle with vertices <code class='latex inline'>D(6, 8), E(1, 8)</code>, and <code class='latex inline'>F(4, 2)</code>.</p><p>b) Determine the equation of the right bisector of side DE.</p><p>c) Determine the equation of the right bisector of side EF.</p><p>d) Determine the coordinates of the point</p><p>of The intersection, M, of the right bisectors in parts a) and b).</p><p>e) Show that point M is equidistant from vertices D, E, and F.</p>
<p>A university has three student residences, which are located at points <code class='latex inline'>A(2, 2), 8(10, 6),</code> and <code class='latex inline'>C(4, 8)</code> on grid. The university wants to build tennis court an equal distance from all three residences. Determine the coordinates of the tennis court.</p>
<p>Brandon has three close friends who live in different parts of the city. Brandon wants to meet them for lunch at a restaurant that is roughly equidistant from their homes. How could Brandon use his knowledge of circles to help find a suitable restaurant? Explain your reasoning.</p>
<p>Verify that point <code class='latex inline'>C</code> is equidistant from the three vertices of <code class='latex inline'>\triangle DEF</code>.</p><img src="/qimages/5016" />
<p>Show that the right bisectors of the sides of <code class='latex inline'>\triangle DEF</code> all intersect at point <code class='latex inline'>C(-4, 4)</code>, the circumcentre of the triangle.</p><img src="/qimages/5016" />
<p>a) Show that the triangle with vertices. U(4, 3), V(0, -5), and W(-4, -3) is a right triangle. </p><p>b) Verify that the median from the right angle to the hypotenuse is half as long as the hypotenuse.</p><p>c) Find an equation for the circle that passes through the vertices of <code class='latex inline'>\triangle UVW</code>.</p>
<p>Which of the following Describe the location of the circumcentre of this triangle.</p><img src="/qimages/5015" />
<p><code class='latex inline'>\triangle JKL</code> has vertices at <code class='latex inline'>J(-2,0), K(2,8), </code> and <code class='latex inline'>L(7,3)</code>. Use analytic geometry to determine the coordinates of the circumcentre (the point where the perpendicular bisectors intersect).</p>
<p>Determine the coordinates of the circumcentre, the point of intersection of the right bisectors of the sides of <code class='latex inline'>\triangle ABC</code> where <code class='latex inline'>A(4, 4), B(8, 0)</code> and <code class='latex inline'>O(0, 0)</code>. </p>
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