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Punjab (PTB) · Chapter test · Free

9th Class Mathematics Chapter 9 TestUNIT 9: Similar Figures

30 marks · 40 minutes · 21 questions. Covers: UNIT 9: Similar Figures.

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9th Class Mathematics Chapter 9 Test

9th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. In an equilateral triangle, what is the measure of each angle?

  2. What is the condition for two polygons to be similar?

    1. Corresponding angles are equal and Corresponding sides are equal

    2. Corresponding angles are equal and Corresponding sides are proportional

    3. Corresponding angles are proportional and Corresponding sides are equal

    4. Corresponding angles are proportional and Corresponding sides are proportional

  3. What is the measure of each interior angle of a regular pentagon?

  4. Example of similar ...................:

    1. Scalene triangle

    2. Acute angle triangle

    3. Equilateral triangle

    4. Obtuse angle triangle

  5. Formula use for exterior angle of polygon:

    1. None of these

  6. The total number of diagonals in a polygon with 9 sides is:

    1. 18

    2. 21

    3. 25

    4. 27

  7. A regular polygon has an exterior angle of 30o. How many diagonals does the polygon have?

    1. 54

    2. 90

    3. 72

    4. 108

  8. The ratio of the areas of two similar polygons is:

    1. Equal to the ratio of their perimeters

    2. Equal to the square of the ratio of their corresponding sides

    3. Equal to the cube of the ratio of their corresponding sides

    4. Equal to the sum of their corresponding sides

  9. ABC and DEF are similar than written as symbolically:

  10. What is the sum of exterior angle of any polygon?

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. A toy manufacturer produces model cars which are similar in every way to the actual cars. If the ratio of the door area of the model to the door area of the car is 1 cm to 2500 cm, find: the ratio of the capacities of their petrol tanks.

  2. Find the missing value in the following similar solid:

  3. Define regular polygon.

  4. Two polygons are similar with a ratio of corresponding sides being . If the area of the smaller polygon is 54 cm2, find the area of the larger polygon.

  5. Find the ratio of the areas of similar figures if the ratio of their corresponding lengths are: 1:3

  6. A rectangular wall is 10 m tall and 12 m wide. How many gallons of paint are needed to cover the wall, if one gallon covers 35 m2?

  7. A tessellation is created using a combination of regular pentagons and decagons. Find the sum of the angles at a vertex where a pentagon and a decagon meet.

  8. Find the unknown value in the following:

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. A tessellation is created by repeatedly reflecting a basic shape. The basic shape is a right-angled triangle with sides of lengths 3, 4 and 5 units. Find: The minimum number of reflections needed to create a tessellation that covers a square with an area of 3600 square units.

  2. A window has a trapezoidal shape with parallel sides of 3 m and 1.5 m and a height of 2 m. Find the area of the window.

  3. The quadrilateral ABCD has side lengths , and its angles are and . Quadrilateral EFGH has side lengths and its angles are and . Prove that the quadrilateral ABCD is similar to the quadrilateral EFGH..