The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Practical geometry** is a part of geometry that deals with the study of shapes, size, dimensions, and positions of different objects. Geometry helps us to draw and define different figures and shapes.

**Steps:**

- Draw a line P and mark a point A outside of the line.
- Take any other point, say Q, and join the lines PQ.
- Now take B as a centre and take a radius of 4 cm.
- Cut an arc on line P at C and AB.
- Mark the intersection point as D on AB.
- With A as a centre now and the same radius as before, cut an arc EF to cut AB at G.
- Measure the arc length CD by placing a pointed tip of the compass at C and pencil tip opening at D.
- With this opening, keep G as a centre and draw an arc to cut arc EF at H.
- Join AH to draw a line Q.

*∠ABC *and *∠BAH *are alternate interior angles. Therefore, P || Q.

Triangles can be constructed and classified based on two major concepts:

**Sides:****Equilateral triangle**: All three sides are equal.-
**Isosceles triangle:**Two sides are equal. -
**Scalene triangle:**All three sides are equal. **Angles:****Acute triangle**: All angles measure less than 90 degree.-
**Obtuse triangle:**One angle is greater than 90 degree. -
**cRight triangle:**One angle is equal to 90 degree.

Construct a triangle DEF, given that DE = 7.6 cm, EF = 4.5 cm, and DF = 8.6 cm.

**Steps:**

- Draw a line segment EF of length 4.5 cm.
- Draw an arc of a radius 7.6 cm with E.
- Draw an arc of radius 8.6 cm with F.
- Mark the intersection of both the arcs with point D.
- Join the line segment DE and DF.
- You will get a triangle DEF.

Construct ΔLMN with LM = 6.4 cm, LM = 5.5 cm, and ∠M = 45 degree.

**Steps:**

- Draw a line segment LM of length 6.4 cm.
- At point M, draw a line segment MX with an angle of 45 degree with LM.
- Take point M as the centre, measure an arc of 5.5 cm.
- Draw an arc of 5.5 cm that cuts MX at point Y.
- Join MN.
- ΔLMN is ready.

Construct ΔPQR with ∠P = 40o, ∠Q = 100 degree, and XY = 7.2 cm.

**Steps:**

- Draw a line segment PQ of length 7.2 cm.
- At point P, draw a ray named PA marking an angle of 40 degree with PQ.
- At point Q, draw an angle of 100 degree with PQ.
- Draw the line segment QR.
- Extend the ray PA to intersect QR at point B.
- The point at which both the lines PA and QR intersect is point B.
- ΔABC is now complete.

Construct ΔABC, with ∠B = 90 degree, BC = 6 cm, and AC = 10 cm.

**Steps:**

- Draw a line segment BC of length 6 cm.
- At point B, draw BX ⊥ BC, which is perpendicular to each other.
- To cut BX at point A with C as the centre, draw an arc of radius 10 cm.
- Join AC.
- ΔABC is complete.

**What is practical geometry?****Practical geometry**is a part of geometry that deals with the study of shapes, size, dimensions, and positions of different objects.**What is geometry in simple words?****What is the use of geometry?****What are the three types of geometry?****How do you do practical geometry?****Practical geometry**is practised by constructing different shapes, figures, and measurements.