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Eleventh Grade (Grade 11) Two Dimensional Shapes Questions

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Grade 11 Circles
If the points (1, 2) and (-5, 2) are endpoints of a diameter of a given circle, what is the equation of this circle?
  1. [math] (x-1)^2 + (y-2)^2 = 1 [/math]
  2. [math] (x+5)^2 + (y-2)^2 = 9 [/math]
  3. [math] (x+2)^2 + (y-2)^2 = 9 [/math]
  4. [math] (x+3)^2 + y(-1)^2 = 3 [/math]
Grade 11 Circles
What is the center and radius of the circle given by the following equation?
[math] x^2 + y^2 - 18x + 6y + 65 = 0 [/math]
  1. [math] "Center": (18, -6), \ "Radius": 65 [/math]
  2. [math] "Center": (9,-3), \ "Radius": 5 [/math]
  3. [math] "Center": (0,0), \ "Radius": sqrt(65) [/math]
  4. [math] "Center": (-9,3), \ "Radius": 25 [/math]
Grade 11 Circles
What is the center and radius of the circle given by the following equation?
[math]x^2 + y^2 -2x +10y + 22 = 0 [/math]
  1. [math]"Center": (0, 0), \ "radius": sqrt(22)[/math]
  2. [math]"Center": (-2, 10), \ "radius": sqrt(22)[/math]
  3. [math]"Center": (1,-5), \ "radius": 2[/math]
  4. [math]"Center":(1,-5), \ "radius": 4[/math]
Grade 11 Triangles
Triangles that have the exact same shape but different area are called                     .
  1. Similar Triangles
  2. Regular Polygons
  3. Tangent
  4. Equilateral Triangle
  5. Isosceles Triangle
Grade 11 Two Dimensional Shapes
A polygon that is always convex
  1. triangle
  2. quadrilateral
  3. circle
  4. n-gon
  5. none of the above
Grade 11 Triangles
Grade 11 Circles
Write an equation for a circle if the endpoints of a diameter are at (1,1) and (1,-9).
  1. [math](x-1)^2+(y+4)^2=5[/math]
  2. [math](x-1)^2+(y+4)^2=25[/math]
  3. [math](x+1)^2+(y-4)^2=5[/math]
  4. [math](x+1)^2+(y-4)^2=25[/math]
Grade 11 Circles
Write an equation for the circle with center (2,1) that passes through (2,4).
  1. [math](x-2)^2+(y-1)^2=9[/math]
  2. [math](x-2)^2+(y-1)^2=3[/math]
  3. [math](x+3)^2+(y+1)^2=9[/math]
  4. [math](x+3)^2+(y+1)^2=3[/math]
Grade 11 Triangles
If a triangle has no equal sides and one right angle then we call it
  1. Scalene Acute
  2. Isosceles Right
  3. Scalene Right
  4. None of the above
Grade 11 Circles
Given the equation of a circle, [math](x-3)^2+(y+5)^2=10[/math], what is the circle's radius?
  1. [math]5[/math]
  2. [math]100[/math]
  3. [math]sqrt5[/math]
  4. [math]sqrt10[/math]
Grade 11 Two Dimensional Shapes
Describe the polygon below.
  1. inscribed
  2. circumscribed
  3. tangent
  4. transcribed
Grade 11 Other Polygons
Describe the polygon.
  1. inscribed
  2. circumscribed
  3. tangent
  4. transcribed
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