Gr 9 MATH: Term Test 4
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Questions and Answers

What is the formula for the surface area of a sphere? $2^2$

  • 6s^2
  • 4πr^2 (correct)
  • πr(l + r)
  • 2πr(h + r)

    • What is the formula for the volume of a cylinder?

  • lwh
  • 2πr(h + r)
  • πr^2 h (correct)
  • 4πr^3

    • What is the formula for the surface area of a rectangular prism?

  • lw + lh + wh
  • 2lw + lh + wh
  • 2lw + 2lh + 2wh (correct)
  • lw + 2lh + wh

    • What is the formula for the volume of a cube?

    <p>s^3</p> Signup and view all the answers

    What is the formula for the surface area of a cone?

    <p>πr(l + r)</p> Signup and view all the answers

    What is the formula for the volume of a rectangular pyramid?

    <p>1/3 lwh</p> Signup and view all the answers

    What is the formula for the surface area of a triangular prism?

    <p>bh + 2ls + lb</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>πr^2</p> Signup and view all the answers

    What is the definition of a translation in transformation geometry?

    <p>A transformation that moves every point of a shape the same distance in the same direction.</p> Signup and view all the answers

    What is the notation for a translation in transformation geometry?

    <p>(x, y) → (x + a, y + b)</p> Signup and view all the answers

    What is the key element of a rotation in transformation geometry?

    <p>All of the above</p> Signup and view all the answers

    What is the formula for a 90° counterclockwise rotation about the origin in transformation geometry?

    <p>(x, y) → (-y, x)</p> Signup and view all the answers

    What is the definition of a reflection in transformation geometry?

    <p>A transformation that flips a shape over a line.</p> Signup and view all the answers

    What is the formula for a reflection over the x-axis in transformation geometry?

    <p>(x, y) → (x, -y)</p> Signup and view all the answers

    What is the key element of a dilation in transformation geometry?

    <p>Both A and B</p> Signup and view all the answers

    What is the formula for a dilation from the origin with a scale factor of k in transformation geometry?

    <p>(x, y) → (kx, ky)</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2(l + w)</p> Signup and view all the answers

    What happens to the perimeter of a shape when you double one of its dimensions?

    <p>The perimeter is doubled</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 * base * height</p> Signup and view all the answers

    What is the effect of doubling both dimensions of a shape on its area?

    <p>The area is quadrupled</p> Signup and view all the answers

    What is the formula for the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    What happens to the area of a shape when you double one of its dimensions?

    <p>The area is doubled</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2πr</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>A = base * height</p> Signup and view all the answers

    What is the formula for the perimeter of a square?

    <p>P = 4s</p> Signup and view all the answers

    What is the formula for the area of a kite?

    <p>A = 1/2 * d1 * d2</p> Signup and view all the answers

    What is the surface area of a cylinder with radius 4 cm and height 10 cm?

    <p>160π cm²</p> Signup and view all the answers

    What is the volume of a triangular prism with base length 6 cm, height 8 cm, and length 10 cm?

    <p>180 cm³</p> Signup and view all the answers

    What is the surface area of a rectangular pyramid with length 8 cm, width 6 cm, and height 10 cm?

    <p>168 cm²</p> Signup and view all the answers

    What is the volume of a sphere with radius 6 cm?

    <p>324π cm³</p> Signup and view all the answers

    What is the surface area of a cone with radius 4 cm and height 12 cm?

    <p>96π cm²</p> Signup and view all the answers

    What is the volume of a cube with side length 8 cm?

    <p>256 cm³</p> Signup and view all the answers

    What is the surface area of a rectangular prism with length 10 cm, width 8 cm, and height 6 cm?

    <p>188 cm²</p> Signup and view all the answers

    What is the volume of a cylinder with radius 3 cm and height 15 cm?

    <p>165π cm³</p> Signup and view all the answers

    If (x, y) is rotated 90° counterclockwise about the origin, what is the resulting coordinate?

    <p>(-y, x)</p> Signup and view all the answers

    What is the formula for the perimeter of a trapezium?

    <p>P = a + b + c + d</p> Signup and view all the answers

    What is the effect of doubling both dimensions of a shape on its perimeter?

    <p>The perimeter is doubled.</p> Signup and view all the answers

    What is the formula for the area of a rhombus?

    <p>A = 1/2 × d_1 × d_2</p> Signup and view all the answers

    If (x, y) is reflected over the line y = x, what is the resulting coordinate?

    <p>(y, x)</p> Signup and view all the answers

    What is the formula for the area of a kite?

    <p>A = 1/2 × d_1 × d_2</p> Signup and view all the answers

    What is the effect of doubling one dimension of a shape on its area?

    <p>The area is doubled.</p> Signup and view all the answers

    What is the formula for the perimeter of a parallelogram?

    <p>P = 2(a + b)</p> Signup and view all the answers

    What is the formula for the area of a trapezium?

    <p>A = 1/2 × (side_1 + side_2) × height</p> Signup and view all the answers

    What is the effect of doubling both dimensions of a shape on its area?

    <p>The area is quadrupled.</p> Signup and view all the answers

    What is the result of translating a point (x, y) by a vector (-3, 2)?

    <p>(x - 3, y + 2)</p> Signup and view all the answers

    What is the effect of a 180° rotation about the origin on a point (x, y)?

    <p>(x, y) → (-x, -y)</p> Signup and view all the answers

    What is the result of reflecting a point (x, y) over the line y = x?

    <p>(x, y) → (y, x)</p> Signup and view all the answers

    What is the effect of a dilation with a scale factor of 2 from the origin on a point (x, y)?

    <p>(x, y) → (2x, 2y)</p> Signup and view all the answers

    What is the result of translating a point (x, y) by a vector (4, -2) and then rotating it 90° counterclockwise about the origin?

    <p>(x + 4, y - 2) → (-y + 4, x - 2)</p> Signup and view all the answers

    What is the result of reflecting a point (x, y) over the x-axis and then translating it by a vector (2, 3)?

    <p>(x, y) → (x, -y) → (x + 2, y + 3)</p> Signup and view all the answers

    What is the result of rotating a point (x, y) 270° counterclockwise about the origin and then dilating it by a scale factor of 3 from the origin?

    <p>(x, y) → (y, -x) → (3y, -3x)</p> Signup and view all the answers

    What is the result of reflecting a point (x, y) over the line y = x and then rotating it 90° counterclockwise about the origin?

    <p>(x, y) → (y, x) → (-x, y)</p> Signup and view all the answers

    What is the result of rotating a point (x, y) by 90° counterclockwise about the origin?

    <p>(-y, x)</p> Signup and view all the answers

    What is the formula for the area of a parallelogram?

    <p>base × height</p> Signup and view all the answers

    What happens to the perimeter of a shape when you double one of its dimensions?

    <p>It doubles</p> Signup and view all the answers

    What is the formula for the perimeter of a trapezium?

    <p>side_1 + side_2 + side_3 + side_4</p> Signup and view all the answers

    What is the result of reflecting a point (x, y) over the x-axis?

    <p>(x, -y)</p> Signup and view all the answers

    What is the formula for the area of a kite?

    <p>(1/2) × d_1 × d_2</p> Signup and view all the answers

    What is the effect of doubling both dimensions of a shape on its area?

    <p>It quadruples</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>2 × (l + w)</p> Signup and view all the answers

    What is the result of dilating a point (x, y) from the origin with a scale factor of 2?

    <p>(2x, 2y)</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>2 × π × r</p> Signup and view all the answers

    What is the surface area of a cube with side length 5 cm?

    <p>150 cm²</p> Signup and view all the answers

    What is the volume of a cone with radius 3 cm and height 6 cm?

    <p>36π cm³</p> Signup and view all the answers

    What is the surface area of a sphere with radius 4 cm?

    <p>128π cm²</p> Signup and view all the answers

    What is the volume of a rectangular prism with length 6 cm, width 4 cm, and height 3 cm?

    <p>72 cm³</p> Signup and view all the answers

    What is the surface area of a triangular prism with base length 5 cm, height 6 cm, and length 7 cm?

    <p>142 cm²</p> Signup and view all the answers

    What is the volume of a cylinder with radius 2 cm and height 8 cm?

    <p>32π cm³</p> Signup and view all the answers

    What is the surface area of a rectangular pyramid with length 6 cm, width 4 cm, and height 5 cm?

    <p>104 cm²</p> Signup and view all the answers

    What is the volume of a cone with radius 2 cm and height 4 cm?

    <p>12π cm³</p> Signup and view all the answers

    What is the effect of a translation on a shape?

    <p>It moves every point of the shape the same distance in the same direction.</p> Signup and view all the answers

    What is the formula for a 270° counterclockwise rotation about the origin?

    <p>(x, y) -&gt; (y, -x)</p> Signup and view all the answers

    What is the line of reflection for the formula (x, y) -> (y, x)?

    <p>y = x</p> Signup and view all the answers

    What is the effect of a dilation with a scale factor of k on a shape?

    <p>It changes the size of the shape but not its shape.</p> Signup and view all the answers

    What is the result of translating a point (x, y) by a vector (a, b)?

    <p>(x, y) -&gt; (x + a, y + b)</p> Signup and view all the answers

    What is the center of rotation for a rotation?

    <p>The fixed point around which the shape is turned.</p> Signup and view all the answers

    What is the formula for a reflection over the y-axis?

    <p>(x, y) -&gt; (-x, y)</p> Signup and view all the answers

    What is the result of rotating a point (x, y) 90° counterclockwise about the origin and then translating it by a vector (2, 3)?

    <p>(x, y) -&gt; (-y + 2, x + 3)</p> Signup and view all the answers

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