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Unit Test: Understanding Quadrilaterals - Hobbies PDF Download

Time: 1 hour
M.M. 30
Attempt all questions.
Question numbers 1 to 5 carry 1 mark each.
Question numbers 6 to 8 carry 2 marks each.
Question numbers 9 to 11 carry 3 marks each.
Question number 12 & 13 carry 5 marks each

Q1: How many sides does a regular polygon have if the measure of an exterior angle is given as 24°? (1 Mark)
Q2: What is the measure of each exterior angle of a regular polygon with 20 sides? (1 Mark)
(i) 20°
(ii) 18°
(iii) 30°
(iv) 45°
Q3: Select a false statement from those given below:( 1 Mark)
(i) A square is a rectangle that has equal adjacent sides
(ii) A square is a rhombus whose one angle is a right angle
(iii) The diagonals of a square bisect each other at right angles
(iv) The diagonals of a square do not divide the whole square into four equal parts.

Q4: When one angle of a parallelogram is a right angle, then what is the name of the quadrilateral?
Q5: When the sum of the internal angles of a polygon is 10 right angles, then how many sides does it have? (1 Mark)
Q6 : A quadrilateral has three acute angles, each measure 80°. What is the measure of the fourth angle? ( 2 Marks)
Q7: The angles of a quadrilateral are in the ratio of 1 : 2 : 3 : 4. What is the measure of the four angles?( 2 Marks)
Q8: In quadrilaterals, (2 Marks)
(i) which of them have their diagonals bisecting each other?
(ii) which of them have their diagonal perpendicular to each other?
(iii) which of them have equal diagonals?
Q9: Find the measure of all four angles of a parallelogram whose consecutive angles are in the ratio 1 : 3. (3 Marks)
Q10: A diagonal and a side of a rhombus are of equal length. Find the measure of the angles of the rhombus.(3 Marks)
Q11: In the following figure RUNS is parallelogram. Find x and y. (Lengths are in cm) (3 Marks) Unit Test: Understanding Quadrilaterals - Hobbies Q12: Adjacent sides of a rectangle are in the ratio 5 : 12, if the perimeter of the rectangle is 34 cm, find the length of the diagonal. (5 Marks)

Q13: ABCD is a parallelogram with ∠A = 80°. The internal bisectors of ∠B and ∠C meet each other at O. Find the measure of the three angles of ΔBCO. (5 Marks)

You can find the solutions of this Unit Test here: Unit Test (Solution): Understanding Quadrilaterals

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FAQs on Unit Test: Understanding Quadrilaterals - Hobbies

1. What are the different types of quadrilaterals and their properties?

Ans. Quadrilaterals can be categorized into several types, including squares, rectangles, parallelograms, rhombuses, trapezoids, and quadrilaterals. Each type has distinct properties: squares have all sides equal and all angles 90 degrees; rectangles have opposite sides equal and all angles 90 degrees; parallelograms have opposite sides equal and opposite angles equal; rhombuses have all sides equal but not necessarily right angles; and trapezoids have at least one pair of parallel sides.

2. How do you calculate the area of a quadrilateral?

Ans. The area of a quadrilateral can be calculated using different methods depending on its type. For rectangles and squares, the area is calculated by multiplying length by width. For trapezoids, the area is found by the formula: Area = (1/2) * (Base1 + Base2) * Height. For irregular quadrilaterals, you can divide the shape into triangles, calculate their areas, and sum them up.

3. What is the difference between a parallelogram and a rectangle?

Ans. The main difference between a parallelogram and a rectangle lies in their angles. In a rectangle, all four angles are right angles (90 degrees), while in a parallelogram, opposite angles are equal, but not necessarily 90 degrees. Additionally, while both shapes have opposite sides that are equal, a rectangle is a specific type of parallelogram.

4. Can a quadrilateral have more than four sides?

Ans. No, by definition, a quadrilateral is a polygon with exactly four sides. If a shape has more than four sides, it is classified as a polygon with a different name based on the number of sides, such as pentagon (5 sides), hexagon (6 sides), etc.

5. How can I identify a trapezoid among other quadrilaterals?

Ans. A trapezoid can be identified by having at least one pair of parallel sides. You can check for parallelism by measuring the angles or sides. If two sides are parallel while the other two sides are not, then the shape is classified as a trapezoid.

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