Triangles
Himachal Pradesh Board · Class 9 · Mathematics
Most important questions from Triangles for Himachal Pradesh Board Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Which of the following are valid congruence rules for triangles?
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SAS (Side-Angle-Side), ASA (Angle-Side-Angle), SSS (Side-Side-Side), RHS (Right angle-Hypotenuse-Side)
The valid congruence rules are SAS, ASA, SSS, AAS, and RHS. AAA is not a valid congruence rule because triangles with equal angles can have different sizes (they are similar but not necessarily congruent).
Which of the following statements about congruent triangles are correct?
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Corresponding sides are equal, Corresponding angles are equal, They have the same area, They have the same perimeter
Congruent triangles have all corresponding parts equal (CPCT). This means equal sides, equal angles, and consequently equal area and perimeter. However, congruent triangles don't have to be right triangles.
In the ASA congruence rule, the side must be:
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The side included between the two equal angles
In ASA congruence rule, the side must be included between the two equal angles. This is crucial for the rule to work - if the side is not between the equal angles, the triangles may not be congruent.
Each angle of an equilateral triangle measures:
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60°
In an equilateral triangle, all three sides are equal, so all three angles are also equal. Since the sum of angles in a triangle is 180°, each angle measures 180° ÷ 3 = 60°.
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