Q.1. What is incentre, orthocentre, circumcentre, and centroid in an equilateral triangle?
They all lie on the same point.
Q.2. Name the point of concurrency of three perpendicular bisectors in a triangle.
Circumcentre
Q.3. What do you mean by orthocentre?
The point of concurrency of three altitudes from vertex to opposite sides in a triangle.
Q.4. How many medians can be found in a triangle?
Three median
Q.6. Is it possible to find the mid-point of a line of 7.3 cm by ruler?
No. Because the least count of the ruler is 0.1 cm.
Q.7. How will you differentiate between mid-point and perpendicular bisector of the line segment?
A point which divides the line segment into two equal parts is known as mid-point and if a line drawn at the mid-point which is perpendicular to the given line segment is known as perpendicular bisector.
In the adjoining figure M is mid-point of line segment AB and PQ is ⊥bisector of AB.
Q.8. What do you mean by perpendicular bisector of the line segment?
A line which divides the another line segment into two equal parts at 90° is known as perpendicular bisector.
Q.9. If a line segment of length 8 cm is divided by a perpendicular bisector, then what will be the length of each part of the line segment?
4 cm
Q.10. What do you mean by median of a triangle?
A line passing through the vertex to mid-point of opposite side is called median of a triangle.
Q.11. What is the point of concurrency of medians in a triangle?
Centroid
Q.12. How will you find centre of a circle or a circumcircle?
By constructing perpendicular bisector of any two chords of the same circle.
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