# State whether the following quadrilaterals are similar or not:

**Solution:**

Two polygons of the same number of sides are similar if

- all the corresponding angles are equal.
- all the corresponding sides are in the same ratio (or proportion).

In quadrilaterals ABCD and PQRS,

AB/PQ = BC/QR = CD/RS = DA/SP = 3/8

⇒ Corresponding sides are in proportion.

But ∠A ≠ ∠P; ∠B ≠ ∠Q

Thus, corresponding angles are not equal.

No, Quadrilateral ABCD is not similar to Quadrilateral PQRS.

**ā Check: **NCERT Solutions for Class 10 Maths Chapter 6

**Video Solution:**

## State whether the following quadrilaterals are similar or not:

Class 10 Maths NCERT Solutions Chapter 6 Exercise 6.1 Question 3

**Summary:**

For the above two quadrilaterals ABCD and PQRS, quadrilateral ABCD is not similar to quadrilateral PQRS.

**ā Related Questions:**

- Fill in the blanks using the correct word given in brackets: (i) All circles are______. (congruent, similar) (ii) All squares are________. (similar, congruent) (iii) All_________triangles are similar. (isosceles, equilateral) (iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are________and (b) their corresponding sides are______________. (equal, proportional)
- Give two different examples of pair of (i) similar figures (ii) non-similar figures.
- In Fig. 6.17, (i) and (ii), DE || BC. Find EC in (i) and AD in (ii)

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