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Triangles

Gujarat Board · Class 9 · Mathematics

Practice quiz for Triangles — Gujarat Board Class 9 Mathematics. MCQs and questions with answers to test your preparation.

44 questions22 flashcards5 concepts

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Quick Quiz: Triangles

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1

In triangle ABC, AB = 5 cm, BC = 7 cm, and AC = 8 cm. In triangle PQR, PQ = 5 cm, QR = 7 cm, and PR = 8 cm. Which congruence rule proves that triangle ABC ≅ triangle PQR?

2

In an isosceles triangle, if one of the base angles is 65°, what is the measure of the vertex angle?

3

In triangle PQR, PQ = 8 cm, angle P = 60°, and PR = 6 cm. In triangle XYZ, XY = 8 cm, angle X = 60°, and XZ = 6 cm. Calculate the length of the third side QR if the triangles are congruent.

4

In a right triangle ABC with right angle at C, if AC = 9 cm and BC = 12 cm, find the length of hypotenuse AB.

44 Questions·
multiple choicemultiple correcttext answertrue falsematchingordering

Sample Questions

1multiple correct

Which of the following are valid congruence rules for triangles?

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SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), RHS (Right-Hypotenuse-Side)

Valid congruence rules are: SAS (two sides and included angle), ASA (two angles and included side), AAS (two angles and any side), RHS (for right triangles), and SSS (all three sides). SSA is not a valid congruence rule because it can result in two different triangles with the same measurements.

2text answer

In triangle ABC, if AB = AC and angle B = 40°, find the measure of angle C.

3true false

Two right triangles have hypotenuses of 13 cm and one leg of 5 cm each. These triangles are congruent by RHS rule.

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True

The RHS (Right-Hypotenuse-Side) congruence rule states that if the hypotenuse and one side of a right triangle are equal to the hypotenuse and corresponding side of another right triangle, then the triangles are congruent. Since both triangles have the same hypotenuse (13 cm) and the same leg (5 cm), they are congruent by RHS rule.

4matching

Match the triangle types with their angle properties:

Show answer

Equilateral triangle - All angles are 60°

Equilateral triangle: All sides equal, so all angles equal 60°. Isosceles triangle: Two sides equal, so two angles equal. Right triangle: One angle is 90°. Scalene triangle: All sides different, so all angles different. This follows from the relationship between sides and angles in triangles.

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Frequently Asked Questions

What are the important topics in Triangles for Gujarat Board Class 9 Mathematics?
Triangles covers several key topics that are frequently asked in Gujarat Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Triangles — Gujarat Board Class 9 Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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