Page 4 - Activity

Question 3.
What is the statement of B.P.T. ?
Answer:
If a line is drawn parallel to one side of a triangle to intersect the other two sides at
distinct points, the other two sides are divided in the same ratio.

Question 4.
Can we prove Mid-point theorem by using B.P.T. ?
Answer:
Yes

Question 5.
Is the B.P.T. applicable for a scalene triangle ?
Answer:
Yes

Question 6.
What is the converse of B.P.T. ?
Answer:
If a line divides any two sides of a triangle in the same ratio, the line is parallel to the
third side of the triangle.

Question 7.
Give two different examples of pairs of similar figures.
Answer:
Pair of squares, pair of circles

Question 8.
What are the conditions for two polygons of same number of sides to be similar ?
Answer:

1. Their corresponding angles are equal.
2. Their corresponding sides are proportional.

Multiple Choice Questions

Question 1.
In ∆ABC, if DE || BC,AD = 3.2, DB = 1.6, AE = x and EC = 2.1, then x is
(a) 4.2
(b) 3.2
(c) 1.6
(d) 4.8