A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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.
☛ 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.
☛ 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)