Important Questions Class 8 Maths Chapter 4 – Practical Geometry
Chapter 4 of Class 8 Maths is about ‘Practical Geometry’ and starts with basic elements of understanding geometrical shapes.
A quadrilateral is a closed two-dimensional shape with four sides and four angles. It is a four-sided closed shape such as a square, rectangle, rhombus, parallelogram, trapezium, etc. In order to construct a quadrilateral uniquely, it is essential to know at least five of its parts.
Five mandatory parts to construct a quadrilateral may be:
- The four sides and diagonal
- Three sides and two diagonals
- Four sides and an angle
- Three sides and two included angles
- Two adjacent sides and three angles
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Practical Geometry Class 8 Extra Questions with Answers
Our in-house Maths faculty experts have collated an entire list of Important Questions Class 8 Maths Chapter 4 by referring to various sources. For each question, the team has prepared a step-by-step explanation that will help students understand the concepts used in each question. Also, the questions are chosen in a way that would cover full chapter topics. So by practising from our question bank, students will be able to revise the chapter and understand their strong and weak points. And improve their preparation by further focusing on weaker sections of the chapter.
Given below are a few of the questions and answers from our question bank of Important Questions Class 8 Maths Chapter 4:
Question 1: Construct a Quadrilateral PLAN with PL = 4 cm LA = 6.5 cm ∠P = 90° ∠A = 110° ∠N = 85°.
Answer 1: The sum of four angles of a quadrilateral is 360°.
In quadrilateral PLAN,
∠P + ∠L + ∠A + ∠N = 360°
90° + ∠L + 110° + 85° = 360°
285° + ∠L = 360°
∠L = 360° − 285° = 75°
- PLAN is the required quadrilateral
Question 2: A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm.
Answer 2: Opposite sides of a parallelogram are equal and parallel to each other. The given parallelogram OKAY can be drawn as follows.
Rough figure
(1) Draw a line segment OK of 5.5 cm and a ray at point K at a convenient angle.
(2) Draw a ray at point O parallel to the ray at K. As the vertices, A and Y, are 4.2 cm away from the vertices K and O respectively, cut line segments KA and OY, each of 4.2 cm, from these rays.
(3) Join Y to A.
OKAY is the required rectangle.
Question 3: Construct a Rhombus BEND with BN = 5.6 cm DE = 6.5 cm.
Answer 3: The diagonals of any rhombus bisect each other exactly at a right angle.
Considering that these diagonals intersect each other at a point O in the rhombus.
Thus , EO = OD = 3.25 cm.
Here is a rough diagram of the rhombus BEND:
Step 1: Draw a line segment BN of 5.6 cm and also draw its perpendicular bisector. It will intersect the line segment BN at point O.
Step 2: Taking O as the centre, arcs of 3.25 cm radius should be drawn for the perpendicular bisector should be intersected at points D and E.
Step 3: Join points D and E to points B and N.
BEND is the required rhombus.
Question 4: The square READ with side RE = 5.1 cm
Answer 4: All the sides of a square are of the same measure, and also all the interior angles of a square are of 90º measure. Therefore, the given square READ can be drawn as follows.
Rough diagram:
(1) Draw a line segment RE of 5.1 cm and an angle of 90º at point R and E.
(2) As vertex A and D are 5.1 cm away from vertex E and R respectively, cut line segments EA and RD, each of 5.1 cm from these rays.
(3) Join D to A
- READ is the required quadrilateral
Question 5: Construct a quadrilateral ABCD where AB = 4.5 cm BC = 5.5 cm CD = 4 cm AD = 6 cm AC = 7 cm.
Answer 5:
- ABCD is the required quadrilateral
Question 6: Construct a quadrilateral JUMP where JU = 3.5 cm UM = 4 cm MP = 5 cm PJ = 4.5 cm PU = 6.5 cm.
Answer 6:
- JUMP is the required quadrilateral
Question 7: Construct the following quadrilaterals
Quadrilateral TRUE TR = 3.5 cm
RU = 3 cm UE = 4 cm
∠R = 75°
∠U = 120°
Answer 7: Rough Figure:
(1) Drawing a line segment RU of 3 cm and then making an angle of 120º at point U. As vertex E is 4 cm away from vertex U, cutting a line segment UE of 4 cm from this ray.
(2) Next, drawing an angle of 75º at point R. As vertex T is 3.5 cm away from vertex R, cutting a line segment RT of 3.5 cm from this ray.
(3) Joining T to E.
- TRUE is the required quadrilateral
Benefits Of Solving Class 8 Maths Chapter 4 Important Questions
Maths is an elemental subject that needs consistent practice and understanding to be able to solve numerous different questions. By solving class 8 practical geometry extra questions, students can get clarity about the basics of the chapter Practical Geometry. You can easily find the important questions of Class 8 Maths Chapter 4 on the Extramarks website by registering on our website.
Some other benefits of solving important questions Class 8 Maths Chapter 4 are:
- Class 8 Maths Chapter 4 important questions provide information about the types of questions that may be asked in exams, which helps to minimise stress and anxiety level..
- Studying something just once may help you grasp the concepts, but going over it again will help you remember it. Your chances of getting good grades on exams increase as you solve more important questions Class 8 Maths Chapter 4
- The questions and solutions provided are based on the latest CBSE syllabus and as per CBSE guidelines. So the students can completely count on it.
- By solving our Chapter 4 Class 8 Maths important questions, students will get a gist of how the paper will be prepared. Practising questions similar to the exam questions would help the students gain confidence, perform better in their exams, and eventually ace them.
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