Chapter 7: Triangles — Online MCQ Test
MATHS · CLASS 9th · Karnataka State Board
Practice Chapter 7: Triangles with a free chapter-wise online MCQ test.
This chapter covers: This chapter covers congruence criteria SAS ASA SSS RHS triangle properties isosceles triangle theorems and geometric proofs..
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Chapter 7: Triangles — Important Questions & Answers
Which of the following is a triangle congruence criterion?
- A. AAA
- B. ASA
- C. AASR
- D. SSAA
Answer: B. ASA
ASA is a valid congruence criterion. If two angles and the included side of one triangle are equal to those of another, the triangles are congruent.
ASA is a valid congruence criterion. If two angles and the included side of one triangle are equal to those of another, the triangles are congruent.
In two triangles, if all three sides of one triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent by:
- A. SAS
- B. SSS
- C. ASA
- D. RHS
Answer: B. SSS
The SSS criterion states that if three sides of one triangle are equal to three corresponding sides of another, the triangles are congruent.
The SSS criterion states that if three sides of one triangle are equal to three corresponding sides of another, the triangles are congruent.
If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent by:
- A. ASA
- B. AAS
- C. SSS
- D. RHS
Answer: A. ASA
ASA uses two angles and the included side. This is enough to prove triangle congruence.
ASA uses two angles and the included side. This is enough to prove triangle congruence.
In two right triangles, the hypotenuse of the first is 13 cm and one side is 5 cm. The hypotenuse of the second is 13 cm and the corresponding side is 5 cm. Which conclusion is correct?
- A. The triangles are congruent by RHS
- B. The triangles are similar only
- C. The triangles are not comparable
- D. The triangles are congruent by AAA
Answer: A. The triangles are congruent by RHS
Since both are right triangles and their hypotenuse and one corresponding side are equal, RHS proves congruence.
Since both are right triangles and their hypotenuse and one corresponding side are equal, RHS proves congruence.
Which statement is always true for a right triangle?
- A. The side opposite the right angle is called the hypotenuse
- B. The two acute angles are equal
- C. All sides are unequal
- D. The longest side is always a leg
Answer: A. The side opposite the right angle is called the hypotenuse
In a right triangle, the side opposite the right angle is the hypotenuse, and it is the longest side.
In a right triangle, the side opposite the right angle is the hypotenuse, and it is the longest side.