Practical Geometry - Triangles

Question 1

what is terminal & initial side of an angle?

Answer 1

The ray on the x-axis is called the initial side and the other ray is called the terminal side.

Question 2

The internal bisectors of the angles of a triangle meet at a point called the _________ of the triangle.

Answer 2

incentre

Question 3

what is circumcentre?

Answer 3

The point of concurrency of the three perpendicular bisectors of the sides of a △.

aka right bisectors.

Question 4

what is orthocentre?

Answer 4

The point of concurrency of the three altitudes of a △.

Question 5

what is median?

Answer 5

a line segment that joins a vertex to the mid-point of the side that is opposite.

Question 6

how to draw medians of a given triangle?

Answer 6

1. draw a △
2. draw perpendicular bisectors.
3. join the vertex to the mid-point.

the medians divide each other in the ratio 2 : 1.

Question 7

the ____ of a triangle cut each other in the ratio ______?

Answer 7

medians
2:1

Question 8

a quadrilateral having each angle equal to 90° is called?

Answer 8

rectangle

square is a type of rectangle.