Chapter 06 Triangles Exercise-01
EXERCISE 6.1
1. 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)
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Solution
(i) Similar
(ii) Similar
(iii) Equilateral
(iv) (a) Equal
(b) Proportional
2. Give two different examples of pair of
(i) similar figures.
(ii) non-similar figures.
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Solution
(i) Two equilateral triangles with sides $1 cm$ and $2 cm$
![](https://temp-public-img-folder.s3.amazonaws.com/images/m10_ncert_solution_transformed_images/2024_03_14_b78cd602ab7a23cfaa7fg-166.jpg)
Two squares with sides $1 cm$ and $2 cm$
![](https://cdn.mathpix.com/cropped/2024_03_14_b78cd602ab7a23cfaa7fg-167.jpg?height=306&width=618&top_left_y=248&top_left_x=249)
(ii) Trapezium and square
![](https://cdn.mathpix.com/cropped/2024_03_14_b78cd602ab7a23cfaa7fg-167.jpg?height=276&width=682&top_left_y=664&top_left_x=252)
Triangle and parallelogram
![](https://cdn.mathpix.com/cropped/2024_03_14_b78cd602ab7a23cfaa7fg-167.jpg?height=274&width=744&top_left_y=1028&top_left_x=234)
3. State whether the following quadrilaterals are similar or not:
![](https://cdn.mathpix.com/cropped/2024_01_16_de4966d57e5f1fab5f21g-092.jpg?height=386&width=928&top_left_y=1618&top_left_x=401)
Fig. 6.8
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Solution
Quadrilateral PQRS and ABCD are not similar as their corresponding sides are proportional, i.e. 1:2, but their corresponding angles are not equal.