Gr12 Mathematics: Ch 7.2 Polygons

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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?

To find the length of the hypotenuse of a right-angled triangle Signup and view all the answers

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

They are in proportion Signup and view all the answers

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

$AB^2 + AC^2$ Signup and view all the answers

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

3 Signup and view all the answers

What is the formula for the area of a triangle?

1/2 × base × height Signup and view all the answers

What is the formula for the area of a parallelogram?

base × height Signup and view all the answers

What is the formula for the area of a rectangle?

length × width Signup and view all the answers

What is the formula for the area of a rhombus?

1/2 × diagonal AC × diagonal BD Signup and view all the answers

What is the formula for the area of a square?

side × side Signup and view all the answers

What is the formula for the area of a trapezium?

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

What is a common characteristic of all polygons?

They are closed shapes Signup and view all the answers

What is the number of vertices in a triangle?

3 Signup and view all the answers

What is the formula for the area of a parallelogram?

base × height Signup and view all the answers

What is the property that is common to all rectangles?

All angles are right angles Signup and view all the answers

What is the formula for the area of a square?

side × side Signup and view all the answers

What is the name of the polygon with five sides?

Pentagon Signup and view all the answers

What is the formula for the area of a trapezium?

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

What is the property that is common to all rhombi?

All sides are equal Signup and view all the answers

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

3 Signup and view all the answers

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

They bisect each other Signup and view all the answers

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

The line should be parallel to one side of the triangle Signup and view all the answers

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

Triangle Proportionality Theorem Signup and view all the answers

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

They are in proportion Signup and view all the answers

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

They are always equal Signup and view all the answers

What is the application of Pythagoras' Theorem?

Finding the length of the hypotenuse in a right-angled triangle Signup and view all the answers

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

The area is always half the product of the diagonals Signup and view all the answers

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

Triangle Signup and view all the answers

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

They are always in proportion Signup and view all the answers

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

The line must be parallel to the base Signup and view all the answers

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

Length of sides 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?

The sum of the squares of the sides is equal to the square of the hypotenuse Signup and view all the answers

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

A = (AC × BD) / 2 Signup and view all the answers

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

They must have equal corresponding angles Signup and view all the answers

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

3 Signup and view all the answers

Gr12 Mathematics: Ch 7.2 Polygons

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Questions and Answers

What is the formula for the area of a kite?

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

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

What is the Pythagoras' Theorem used for?

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

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

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

What is the formula for the area of a triangle?

What is the formula for the area of a parallelogram?

What is the formula for the area of a rectangle?

What is the formula for the area of a rhombus?

What is the formula for the area of a square?

What is the formula for the area of a trapezium?

What is a common characteristic of all polygons?

What is the number of vertices in a triangle?

What is the formula for the area of a parallelogram?

What is the property that is common to all rectangles?

What is the formula for the area of a square?

What is the name of the polygon with five sides?

What is the formula for the area of a trapezium?

What is the property that is common to all rhombi?

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

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

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

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

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

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

What is the application of Pythagoras' Theorem?

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

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

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

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

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

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?

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

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

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

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

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

What is the common characteristic of all parallelograms?

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

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

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