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Punjab (PTB) · Chapter test · Free

9th Class Mathematics Chapter 11 TestUNIT 11: Loci and Construction

30 marks · 40 minutes · 21 questions. Covers: UNIT 11: Loci and Construction.

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9th Class Mathematics Chapter 11 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. What is the angle formed by two intersecting rays from a vertex in a triangle called? 

    1. Complementary angle

    2. Opposite angle

    3. Vertical angle

    4. Exterior angle

  2. A triangle with all sides and angles equal is called a: 

    1. Right triangle

    2. Isosceles triangle

    3. Equilateral triangle

    4. Scalene triangle

  3. The intersection of the three angle bisectors of a triangle is called:

    1. Orthocenter

    2. Centroid

    3. Circumcenter

    4. Incenter

  4. What is the sum of the interior angles of any triangle? 

    1. 180°

    2. 360°

    3. 90°

    4. 120°

  5. Locus of points equidistant from a fixed line is/are ......:

    1. Circle

    2. Perpendicular bisector

    3. Angle bisector

    4. Parallel lines

  6. What is the angle bisector of a triangle? 

    1. A line passing through a vertex

    2. A line that divides an angle into two equal parts

    3. A line joining midpoints of sides

    4. A line perpendicular to a side

  7. Locus of points equidistant from two intersecting lines is ......:

    1. Circle

    2. Perpendicular bisector

    3. Angle bisector

    4. Parallel lines

  8. Which locus defines a point that is a fixed distance from a given point?

    1. Perpendicular bisector

    2. Circle 

    3. Angle bisector

    4. Line segment

  9. A triangle is a closed figure having.

    1. Two sides 

    2. Three sides 

    3. Four sides 

    4. Five sides

  10. The centroid of a triangle divides each median into two parts in a ratio of:

    1. 1:2

    2. 2:1

    3. 1:3

    4. 3:1

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

  1. Construct the following triangles and find whether there exists any ambiguous case: and .

  2. Construct with the given measurements and verify that the perpendicular bisectors of the triangle are concurrent: and

  3. What is an ambiguous case in triangle construction?

  4. Define scalene triangle.

  5. Construct of the following measurements and verify that the medians of the triangle are concurrent: and .

  6. What is the orthocenter of a triangle.

  7. What is a perpendicular bisector?

  8. Define right angled triangle.

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

  1. Construct a triangle ABCD with and . Draw the locus of all points which is: equidistant from A and B. Label the point P inside the rectangle which is 3.1 cm from point A and equidistant from A and B.

  2. Construct a triangle LMN with and Find a point within the triangle LMN which is equidistant from L and M and 3 cm from L.

  3. Construct a triangle ABC with and Draw the locus of all points which are equidistant fro A and B.