Chapter 6 · Triangles

NCERT Class 10 Maths Exercise 6.1

All 3 questions of NCERT Class 10 Maths Exercise 6.1 (Triangles), in the book's order, each with its answer and a step-by-step solution.

1. Q1
   Fill in the blanks using the correct word given in brackets:

   1. (i)​All circles ​are ​____. (congruent, similar)
   2. (ii)All ​squares are ____. (similar, congruent) ​
   3. (iii)All ____ triangles are similar. ​(isosceles, equilateral)
   4. (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)
   Show answer

   (i) Similar; (ii) Similar; (iii) Equilateral; (iv)(a) Equal; (iv)(b) Proportional.

   Step-by-step solution →
2. Q2
   Give two ​different examples ​of ​pair ​of: ​

   1. (i)similar ​figures
   2. (ii)non-similar figures
   Show answer

   (i) Similar: any two circles; any two squares. (ii) Non-similar: a square and a circle; a square and a rectangle of unequal sides.

   Step-by-step solution →
3. Q3
   State ​whether the following ​quadrilaterals ​are ​similar ​or not:

   Show answer

   No — the quadrilaterals are not similar. Their corresponding sides are in the same ratio $\left(\frac{1.5}{3}=\frac{1}{2}\right)$, but their corresponding angles are not equal: every angle of $ABCD$ is $90^{\circ }$ while the angles of the rhombus $PQRS$ are not.

   Step-by-step solution →