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9th Class Mathematics Chapter 10 Test

9th Class · Mathematics · Federal (FBISE)

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

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

If LM = 4 cm, MN = 4.7 cm and ∠M = 120°, the given angle lies between:
1. LM and MN
2. LM and LN
3. MN and LN
4. None
Which instrument is used to draw an arc of a specified radius?
1. Protractor
2. Compass
3. Set square
4. Scale only
The sum of interior angles of a triangle is:
1. 90°
2. 180°
3. 270°
4. 360°
If two given sides are 5.7 cm and 7.5 cm and the angle 105° is opposite the 7.5 cm side, the construction involves:
1. An oblique triangle case
2. Only an equilateral triangle
3. A square
4. A circle only
The three altitudes of a triangle meet at the:
1. Incentre
2. Centroid
3. Orthocentre
4. Midpoint
In ΔPQR, if PQ = 7.2 cm, ∠P = 45° and ∠Q = 75°, then ∠R is:
1. 50°
2. 60°
3. 70°
4. 80°
The centroid divides each median in the ratio:
1. $1:1$
2. $1:2$
3. $2:1$
4. $3:1$
Medians of a triangle are:
1. Parallel
2. Concurrent
3. Perpendicular
4. Collinear
In an obtuse triangle, the circumcentre generally lies:
1. Inside
2. Outside
3. At a vertex
4. At the centroid
If three lines meet at a point, they are called.
1. intersection
2. perpendicular
3. collinear
4. concurrent

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

Define orthocentre.
Construct an equilateral triangle ABC. Find and Do they coincide? $centriod$
Construct the following triangle. $\Delta PQR \text{ when } PQ = 5.8 \, \text{cm}, \, \angle P = 45^\circ\, \angle Q = 75^\circ$
Construct a triangle and find its centre of gravity. ( Hint : Find centroid)
Construct the following triangle. $\Delta PQR\text{ when } PQ = 6 \, \text{cm}, \, \angle P= 30^\circ, \, \angle R= 90^\circ$
Show that right bisector of the following triangle are concurrent. $\Delta DEF \text{ when } DE = 5 \, \text{cm}, \, EF = 4 \, \text{cm}, \, \angle E = 120^\circ$
Construct the following triangle where possible. $QR = 7.0 \, \text{cm}, \, PQ = 5.6 \, \text{cm}, \angle R = 75^\circ$
Show that right bisector of the following triangle are concurrent. $\Delta XYZ \text{ when } XY = 4.5 \, \text{cm}, \, YZ = 5 \, \text{cm}, \, ZX = 4.8 \, \text{cm}$

Show that altitude of the following triangle are concurrent. $\Delta PQR \text{ when } PQ = 4.6 \, \text{cm}, \,QR = 6.5 \, \text{cm}, \, \angle P = 90^\circ$
Show that angle bisector of the following triangle are concurrent. $\Delta XYZ \text{ when } XY = 5.5 \, \text{cm}, \angle X = 45^\circ, \, \angle Y = 75^\circ$
Recognize altitudes, perpendicular bisectors and medians in the following triangle.