Visualising Similarity of Triangles

Q.

Which of the following figures are similar figures?

1. All the Circles

2. All the Squares

3. All the Equilateral triangles

4. All of the above

Q. Question 1 (iv)
Fill in the blanks using the correct word in the given bracket.

(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)

Q. Two triangles are similar when the corresponding angles are and the corresponding sides are .

1. equal
2. proportional
3. equal
4. unequal

Q. ΔABC and ΔDBC are two isosceles triangles on the same base BC (see figure). Show that ∠ ABD = ∠ ACD.

Q. If $△ABC\sim △PQR,$
then which of the following statement(s) is/are correct?

1. BC corresponds to QR
2. CA corresponds to RP
3. AB corresponds to QR
4. AB corresponds to PQ

Q. The shapes given below are:

1. Similar only
2. Congruent only
3. Both similar and congruent
4. Neither similar nor congruent