Teachoo Quiz

Assertion Reasoning Quiz

Chapter 4 Class 8 - Quadrilaterals (Ganita Prakash) | 7 questions | about 6 minutes

Attempt time 0:00
This question 0:00
Question 1 of 7
Advertisement
Question 1 of 7
Assertion (A): In a kite, the diagonals intersect at exactly right angles (90°).

Reason (R): The sum of the interior angles of a kite is always 360°.
A) Both A and R are true and R is the correct explanation of A.
B) Both A and R are true but R is not the correct explanation of A.
C) A is true but R is false.
D) A is false but R is true.
Answer:BSolution:Both statements are true. A kite's diagonals are perpendicular, and all convex quadrilaterals have an internal angle sum of 360°. However, the angle sum property (R) has nothing to do with explaining why the diagonals intersect at 90°. The true reason lies in SSS congruence applied to the adjacent equal sides acting symmetrically.
Select an option to see the answer, or skip this question.
Question 2 of 7
Assertion (A):
If one interior angle of a rhombus is 90°, the rhombus mathematically becomes a square.
Reason (R):
In a rhombus, adjacent angles sum to 180° and opposite angles are equal. Therefore, one 90° angle mathematically forces all four angles to be 90°.
Select an option to see the answer, or skip this question.
Question 3 of 7
Assertion (A):
If one interior angle of a rhombus is 90°, the rhombus mathematically becomes a square.
Reason (R):
In a rhombus, adjacent angles sum to 180° and opposite angles are equal. Therefore, one 90° angle mathematically forces all four angles to be 90°.
Select an option to see the answer, or skip this question.
Question 4 of 7
Assertion: If two equal diagonals bisect each other and meet at 60°, the quadrilateral formed must be a square.
Reason: The diagonals of a square bisect each other at right angles.
Select an option to see the answer, or skip this question.
Question 5 of 7
Assertion: A rhombus-shaped sign may have diagonals of different lengths.
Reason: The diagonals of a rhombus bisect each other at right angles.
Select an option to see the answer, or skip this question.
Question 6 of 7
Assertion: A quadrilateral that is both a kite and a parallelogram must be a rhombus.
Reason: A parallelogram has equal opposite sides, and a kite has equal adjacent pairs; together these force all four sides to be equal.
Select an option to see the answer, or skip this question.
Question 7 of 7
Assertion (A):
It is geometrically impossible to construct a quadrilateral containing exactly three right angles and one acute angle.
Reason (R):
The sum of all four interior angles in any convex quadrilateral is exactly 360°.
Select an option to see the answer, or skip this question.
Stuck? Keep your progress moving.