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प्रश्न
All circles are ______.
विकल्प
congruent
similar
उत्तर
All circles are similar.
Explanation:
According to the properties of geometry, all circles are similar because they all have the same shape but can differ in size. This is because every circle can be transformed into another by simply scaling without altering the shape.
संबंधित प्रश्न
All ______ triangles are similar.
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 example of a pair of similar figures.
State whether the following quadrilaterals are similar or not:
Two triangles are similar, if their corresponding angles are .......... (proportional, equal)
Two triangles are similar, if their corresponding sides are .......... (proportional, equal)
Write the truth value (T/F) of each of the following statement
Any two similar figures are congruent.
Write the truth value (T/F) of each of the following statement
Any two congruent figures are similar.
Write the truth value (T/F) of each of the following statement
Two polygons are similar if their corresponding angles are proportional.
For each of the following statements state whether true(T) or false (F)
Two circles with different radii are similar.
For each of the following statements state whether true(T) or false (F)
any two rectangles are similar
For each of the following statements state whether true(T) or false (F)
In a ΔABC , AB = 6 cm, ∠A = 45° and AC = 8 cm and in a ΔDEF , DF = 9 cm ∠D = 45° and DE= 12 cm then ΔABC ∼ΔDEF
For each of the following statements state whether true(T) or false (F)
the polygon formed by joining the midpoints of the sides of a quadrilateral is a rhombus.
Similar triangles have the same ________ but not necessarily the same size
In a rhombus if d1 = 16 cm, d2 = 12 cm, then the length of the side of the rhombus is ______.
If in two As ABC and DEF, `"AB"/"DF" = "BC"/"FE" = "CA"/"ED"`, then ______.
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the length of the side of the rhombus is ______.
Observe the figures given below carefully and answer the questions:
| Figure A |  |
 |
| Figure B |  |
 |
| Figure C |  |
 |
- Name the figure(s) where in two figures are similar.
- Name the figure(s) where in the figures are congruent.
-
- Prove that congruent triangles are also similar but not the converse.
OR - What more is least needed for two similar triangles to be congruent?
- Prove that congruent triangles are also similar but not the converse.
