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Byju's Answer
Standard IX
Mathematics
Similar Triangles
Which of the ...
Question
Which of the following statements is true for two similar triangles?
A
They are of the same shape.
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B
None of the above is true.
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C
Both a and b are true.
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D
They are of the same size.
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Solution
The correct option is
A
They are of the same shape.
Two triangles are said to be similar if their corresponding angles are equal.
The given similar triangles are of the same shape but not the same size.
Example:
We can see that
Δ
C
A
B
and
Δ
P
Q
R
have the same shape but have different areas. Hence, the two triangles are similar.
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Similar questions
Q.
Which of the following is true?
Statement I : All similar triangles are congruent.
Statement II: All congruent triangles are similar.
Q.
Which of the following is a true statement?
(a) Two similar triangles are always congruent.
(b) Two figures are similar if they have the same shape and size.
(c) Two triangles are similar if their corresponding sides are proportional.
(d) Two polygons are similar if their corresponding sides are proportional.
Q.
Which of the following statements are correct for the correspondence between the vertices of two triangles?
(P) The area of two similar triangles is equal.
(Q) The corresponding angles of both similar triangles are having same proportion.
(R) The corresponding sides of both similar triangles are having same proportion.
(S) The corresponding sides of both similar triangles are congruent.
Q.
Δ
A
B
C
and
Δ
P
Q
R
are two similar triangles shown in the figure. AM and PN are the medians on
Δ
A
B
C
and
Δ
P
Q
R
respectively. Which of the following statements is true?
Q.
If two triangles are similar, then which of the following statement(s) is/are correct?
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