Triangles Quiz - CBSE Class 9 Mathematics

Free practice quiz: Triangles (CBSE Class 9 Mathematics). 19 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. How many medians can a triangle have?

   1. 1
   2. 2
   3. 3
   4. 4
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   Answer: C. 3

   A triangle has exactly 3 medians, one from each vertex to the midpoint of the opposite side.

2. Which of the following does NOT define a unique triangle?

   1. SSS
   2. SAS
   3. ASA
   4. SSA
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   Answer: D. SSA

   The SSA condition does not define a unique triangle due to the possibility of the ambiguous case; it may produce two different triangles, one triangle, or no triangle at all.

3. If a triangle has interior angles measuring 50 degrees and 60 degrees, what is the measure of the third angle?

   1. 50 degrees
   2. 60 degrees
   3. 70 degrees
   4. 80 degrees
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   Answer: C. 70 degrees

   The sum of interior angles of a triangle is 180 degrees. Therefore, if two angles are 50 degrees and 60 degrees, the third angle must be 70 degrees (180 - 50 - 60 = 70).

4. The orthocenter of a triangle is located at the intersection of which lines?

   1. Medians
   2. Altitudes
   3. Angle bisectors
   4. Perpendicular bisectors
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   Answer: B. Altitudes

   The orthocenter of a triangle is the point where all three altitudes intersect.

5. In any triangle, what is the sum of the median lengths related to?

   1. It is twice the sum of the angle bisector lengths
   2. It is related to 3/4 of the sum of the side lengths
   3. Half of the sum of the altitude lengths
   4. Equal to the perimeter of the triangle
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   Answer: B. It is related to 3/4 of the sum of the side lengths

   The sum of the medians of a triangle is related to approximately 3/4 of the sum of its sides, but the exact relationship varies based on the triangle's dimensions.

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