useful

1. A. An In circle of a Triangle
In Circle
Angle bisectors can be
used to construct an triangle
In circle.
Angle bisectors of a triangle
intersect at a point called
the In centre.
In Center
If a circle is constructed with the centre
at the in centre, touching any one side, such a circle
will touch the other two sides as well.
This circle is called an in circle or inscribed circle.

2. 1.Draw a triangle . Name the vertex of each
angle. What is name of the triangle
2.Tell the steps of drawing the in circle or inscribe
circle of the triangle.

3. B. Drawing an In circle of a Triangle
Follow the steps to draw an in circle below:
Steps
1. Draw a scalene triangle ABC.
2. Construct an in circle by locating the position
of an in centre. Start with constructing an
angle bisector of ∠A.
a. Draw two small arcs from point A so that
they intersect with the sides AC and AB.
b. From the points of intersections of the arcs
with the sides, draw two other arcs so that
they intersect each other.
c. Connect the point of the intersection of the
arcs and point A with a straight line.

4. B 3. Construct an angle bisector of ∠.
a. Draw two small arcs from point B so that
they intersect with the sides AB and BC.
b. From the points of intersections of the arcs
with the sides, draw two other arcs so that
they intersect each other.
c. Connect the point of the intersection of
the arcs and point B with a straight line.

5. 4. Construct an angle bisector of ∠B.
a. Draw two small arcs from point C so that
they intersect with the sides BC and AC.
b. From the points of intersections of the arcs
with the sides, draw two other arcs so that
they intersect each other.
c. Connect the point of the intersection of
the arcs and point C with a straight line.

6. 5.The three angle bisectors intersect at point O,
the in circle. Draw a circle with O as its centre.
It results in the in circle of the given triangle.

7. C. An Circum circle of a Triangle
Medians can be used to
construct an Circum circle.
Medians of a triangle
intersect at a point called
the center.
Circum circle The Center
This circle is called an circum circle or Circumscribed.

8. 1.Draw a triangle . Name the vertex of each
angle. What is name of the triangle
2.Tell the steps of drawing the circum circle or circum
circle of the triangle.

9. C. Drawing an Circum circle of a Triangle
Follow the steps below to draw a circum circle:
Steps
1. Draw a scalene triangle ABC.
2. Locate the circum centre. A circum centre is
the point of intersection of the medians of
the sides of a triangle.
Let us start by constructing a median of side AB.
a. Open your compass to the width slightly
larger than half of side AB.
b. Draw two small arcs from A and B so
that they intersect each other.
c. Connect the points of intersection of the
arcs with a straight line.

10. 3.Let us start by constructing a median of side AC.
a. Open your compass to the width slightly
larger than half of side AC.
b. Draw two small arcs from A and C so
that they intersect each other.
c. Connect the points of intersection of the
arcs with a straight line.

11. 4.Let us start by constructing a median of side BC.
a. Open your compass to the width slightly
larger than half of side BC.
b. Draw two small arcs from B and C so
that they intersect each other.
c. Connect the points of intersection of the
arcs with a straight line.

12. 5. The three medians intersect at point O,
the circum centre. Draw a circle with O as its centre.
It results in the circum circle of the given triangle.

13. An in circle of a triangle is a circle touching all parts a
within a triangle, where the center of the circle is
inside the triangle.
The center of an in circle of a triangle is the point of
intersection of three angle bisectors within the triangle
A circum circle of triangle is a circle passing thought
all Vertices triangle of a triangle. The center of
circum circle can be either inside or outside triangle.
The center of an circum circle of at triangle is the
point of intersection of the three median within the
triangle.

14. 1.Draw a triangle . Name the vertex of each
angle. What is name of the triangle
2.Tell the steps of drawing the in circle or inscribe
circle of the triangle.
3.Tell the steps of drawing the circum circle or circum
circle of the triangle.