Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2

Ex No: 15.2

Solution 1:

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 1

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 2

Solution 2:

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 3

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 4

Solution 3:

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 5

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 6

Solution 4:

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 7

Solution 5:

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 8

Solution 6:

Note: This question is incomplete.

According to the information given in the question,

F could be any point on BC as shown below:

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 9

So, this makes it impossible to prove that DP = DE, since P too would shift as F shift because P too would be any point on DE as F is.

Note: If we are given F to be the mid-point of BC, the result can be proved.

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Solution 7:

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 11

From the figure EF ∥ AB and E is the midpoint of BC.

Therefore, F is the midpoint of AC.

Here EF ∥ BD, EF = BD as D is the midpoint of AB.

BE ∥ DF, BE = DF as E is the midpoint of BC.

Therefore BEFD is a parallelogram.

Remark: Figure modified

Solution 8:

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 12

Solution 9:

Frank ICSE Solutions for Class 9 Maths Mid-point and Intercept Theorems Ex 15.2 13

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