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Congruent Triangles · Maharashtra Board STD 9 (MSBSHSE - English Medium). 13 questions.

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13 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
Fill in the blanks to make the following statements true.
Difference of any two sides of a triangle is ___ than the third side.
Answer
Difference of any two sides of a triangle is less than the third side.
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Question 21 Mark
In right triangles ABC and DEF, if hypotenuse $\text{AB}=\text{EF}$ and side $\text{AC}=\text{DE},$ then $\triangle\text{ABC}\cong\triangle$ ________.
Answer
In right triangles ABC and DEF, if hypotenuse $\text{AB}=\text{EF}$ and side $\text{AC}=\text{DE},$ then $\triangle\text{ABC}\cong\triangle$ EFD.
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Question 31 Mark
If altitudes CE and BF of a triangle ABC are equal, then AB = _______.
Answer
If altitudes CE and BF of a triangle ABC are equal, then AB = AC.
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Question 41 Mark
Fill in the blanks to make the following statements true.
If two sides of a triangle are unequal, then the larger side has ___ angle opposite to it.
Answer
If two sides of a triangle are unequal, then the larger side has greater angle opposite to it.
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Question 51 Mark
Fill in the blanks to make the following statements true.
In a right triangle the hypotenuse is the ___ side.
Answer
In a right triangle the hypotenuse is the largest side.
Reason: Since a triangle can have only one right angle, other two angles must be less than 90.
The right angle is the largest angle.
Hypotenuse is the largest side.
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Question 61 Mark
Fill in the blanks in the following so that the following statements is true.
Sides opposite to equal angles of a triangle are ____________.
Answer
Sides opposite to equal angles of a triangle are equal.
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Question 71 Mark
In a $\triangle\text{ABC}$ if $\angle\text{A}=\angle\text{C},$ then $\text{AB}=$ ________.
Answer
In a $\triangle\text{ABC}$ if $\angle\text{A}=\angle\text{C},$ then $\text{AB}=$ BC.
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Question 81 Mark
Fill in the blanks in the following so that the following statements is true.Angle opposite to equal sides of a triangle are ____________.
Answer
Angle opposite to equal sides of a triangle are equal.
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Question 91 Mark
Fill in the blanks to make the following statements true.
If two angles of a triangle are unequal, then the smaller angle has the ___ side opposite to it.
Answer
If two angles of a triangle are unequal, then the smaller angle has the smaller side opposite to it.
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Question 101 Mark
In an isosceles triangle ABC with AB = AC, if BD and CE are its altitudes, then BD is ________ CE.
Answer
In an isosceles triangle ABC with AB = AC, if BD and CE are its altitudes, then BD is equal to. CE
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Question 111 Mark
Fill in the blanks to make the following statements true.
The sum of any two sides of a triangle is ___ than the third side.
Answer
The sum of any two sides of a triangle is greater than the third side.
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Question 121 Mark
Fill in the blanks in the following so that the following statements is true.In an equilateral triangle all angles are __________.
Answer
In an equilateral triangle all angles are equal.
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Question 131 Mark
Fill in the blanks to make the following statements true.
The sum of three altitudes of a triangle is ___ than its perimeter.
Answer
The sum of three altitudes of a triangle is less than its perimeter.
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