Gr12 Mathematics: Ch 7.2 Polygons
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Questions and Answers

What is the formula for the area of a kite?

  • $\text{Area} = \frac{1}{2} \times \text{diagonal AC} \times \text{diagonal BD}$ (correct)
  • $\text{Area} = \frac{1}{2} \times \text{diagonal AC} \times \text{diagonal BD}^2$
  • $\text{Area} = \text{diagonal AC} \times \text{diagonal BD}$
  • $\text{Area} = \text{diagonal AC} + \text{diagonal BD}$

If a line is drawn parallel to one side of a triangle, what does it divide the other two sides into?

  • Perpendicular parts
  • Right-angled parts
  • Proportional parts (correct)
  • Equal parts

What is the condition for two triangles to be similar according to the Triangle Proportionality Theorem?

  • They have the same area
  • They have the same perimeter
  • They have the same number of sides
  • They are equiangular (correct)

What is the Pythagoras' Theorem used for?

<p>To find the length of the hypotenuse of a right-angled triangle (D)</p> Signup and view all the answers

If $\triangle ABC$ and $\triangle DEF$ are similar, what is the relationship between their corresponding sides?

<p>They are in proportion (D)</p> Signup and view all the answers

What is the formula for $BC^2$ in a right-angled triangle according to Pythagoras' Theorem?

<p>$AB^2 + AC^2$ (C)</p> Signup and view all the answers

What is the minimum number of line segments required to form a polygon?

<p>3 (A)</p> Signup and view all the answers

What is the formula for the area of a triangle?

<p>1/2 × base × height (C)</p> Signup and view all the answers

What is the formula for the area of a parallelogram?

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

What is the formula for the area of a rectangle?

<p>length × width (B)</p> Signup and view all the answers

What is the formula for the area of a rhombus?

<p>1/2 × diagonal AC × diagonal BD (D)</p> Signup and view all the answers

What is the formula for the area of a square?

<p>side × side (A)</p> Signup and view all the answers

What is the formula for the area of a trapezium?

<p>1/2 × (base1 + base2) × height (B)</p> Signup and view all the answers

What is a common characteristic of all polygons?

<p>They are closed shapes (A)</p> Signup and view all the answers

What is the number of vertices in a triangle?

<p>3 (C)</p> Signup and view all the answers

What is the formula for the area of a parallelogram?

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

What is the property that is common to all rectangles?

<p>All angles are right angles (D)</p> Signup and view all the answers

What is the formula for the area of a square?

<p>side × side (D)</p> Signup and view all the answers

What is the name of the polygon with five sides?

<p>Pentagon (B)</p> Signup and view all the answers

What is the formula for the area of a trapezium?

<p>1/2 × (base1 + base2) × height (B)</p> Signup and view all the answers

What is the property that is common to all rhombi?

<p>All sides are equal (A)</p> Signup and view all the answers

What is the minimum number of sides required to form a polygon?

<p>3 (B)</p> Signup and view all the answers

If ABCD is a kite, what can be said about the diagonals?

<p>They bisect each other (C)</p> Signup and view all the answers

What is the condition for Thales' Theorem to be applicable?

<p>The line should be parallel to one side of the triangle (A)</p> Signup and view all the answers

Which theorem can be used to prove that two triangles are similar?

<p>Triangle Proportionality Theorem (D)</p> Signup and view all the answers

What is the relationship between the corresponding sides of two similar triangles?

<p>They are in proportion (A)</p> Signup and view all the answers

What can be said about the corresponding angles of two similar triangles?

<p>They are always equal (C)</p> Signup and view all the answers

What is the application of Pythagoras' Theorem?

<p>Finding the length of the hypotenuse in a right-angled triangle (D)</p> Signup and view all the answers

In a kite, if the diagonals are perpendicular, what can be said about the area of the kite?

<p>The area is always half the product of the diagonals (C)</p> Signup and view all the answers

Which of the following polygons has a fixed number of sides?

<p>Triangle (B)</p> Signup and view all the answers

In two similar triangles, what is the relationship between the corresponding medians?

<p>They are always in proportion (C)</p> Signup and view all the answers

What is the condition for Thales' Theorem to be applicable in a triangle?

<p>The line must be parallel to the base (D)</p> Signup and view all the answers

What is the primary difference between a rectangle and a square?

<p>Length of sides (D)</p> Signup and view all the answers

In a right-angled triangle, what is the relationship between the squares of the lengths of the two sides and the square of the length of the hypotenuse?

<p>The sum of the squares of the sides is equal to the square of the hypotenuse (A)</p> Signup and view all the answers

Which of the following formulas is used to calculate the area of a rhombus?

<p>A = (AC × BD) / 2 (C)</p> Signup and view all the answers

What is the necessary condition for two triangles to be similar?

<p>They must have equal corresponding angles (B)</p> Signup and view all the answers

What is the minimum number of vertices required to form a polygon?

<p>3 (D)</p> Signup and view all the answers

What is the relationship between the lengths of the corresponding sides of two similar triangles?

<p>They are always in proportion (A)</p> Signup and view all the answers

Which of the following polygons has all sides of equal length?

<p>Square (C)</p> Signup and view all the answers

What is the common characteristic of all parallelograms?

<p>Opposite sides are parallel (B)</p> Signup and view all the answers

Which of the following formulas is used to calculate the area of a trapezium?

<p>A = (a + b) × h / 2 (B)</p> Signup and view all the answers

What is the primary difference between a trapezium and a parallelogram?

<p>Opposite sides being parallel (B)</p> Signup and view all the answers

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