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Free CBSE - Class 10 Mathematics - Triangles worksheets

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1.
Fill in the blanks using the correct word given in brackets : (i) All circles are ______. (congruent, similar)
2.
Fill in the blanks using the correct word given in brackets : (ii) All squares are ______. (similar, congruent)
3.
Fill in the blanks using the correct word given in brackets : (iii) All ______ triangles are similar. (isosceles, equilateral)
4.
Fill in the blanks using the correct word given in brackets : (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)
5.
Give two different examples of pair of (i) similar figures.
6.
Give two different examples of pair of (ii) non-similar figures.
7.

State whether the following quadrilaterals are similar or not:

8.

State which pairs of triangles in Fig. 6.34 are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form : (iii)

9.
Sides $AB$ and $AC$ and median $AD$ of a triangle $ABC$ are respectively proportional to sides $PQ$ and $PR$ and median $PM$ of another triangle $PQR$. Show that $\triangle ABC \sim \triangle PQR$.
10.
A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.
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