Download GSEB Solutions for Class 8 Mathematics Chapter 04 Practical Geometry
Review structured textbook solutions for Class 8 Mathematics Chapter 04 Practical Geometry. Built according to GSEB guidelines for the 2026-27 academic year, these downloadable answers support daily revision and problem-solving accuracy.
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View or download the dedicated Chapter 04 Practical Geometry solution resource below. Engaging with these textbook answers under focused study conditions ensures continuous academic progress and mastery of the 2026-27 curriculum for Mathematics.
Question 1. Draw the following.
Answer:
(i) A square READ with RE = 5.1 cm.
| Steps of construction: |
| I. First, make a line segment RE of 5.1 cm. |
| II. Next, at point E, draw a ray \( \vec{EX} \) so that \( \angle REX = 90^\circ \). |
| III. From ray \( \vec{EX} \), measure and cut off a segment EA that is 5.1 cm long. |
| IV. Using A as the middle point, draw an arc above RE with a radius of 5.1 cm. |
| V. Then, using R as the middle point and a radius of 5.1 cm, draw another arc to cross the first arc at point D. |
| VI. Connect DA and DR. In this way, READ is the necessary square. |
(ii) A rhombus whose diagonals are 5.2 cm and 6.4 cm long.
| Steps of construction: |
| I. Start by drawing a line segment AC which is 5.2 cm long. |
| II. Draw the perpendicular bisector \( \vec{XY} \) for AC. |
| III. From \( \vec{XY} \), mark off OD \( = \frac{1}{2}(6.4 \text{ cm}) = 3.2 \text{ cm} \). |
| IV. Similarly, mark off OB \( = \frac{1}{2}(6.4 \text{ cm}) = 3.2 \text{ cm} \). |
| V. Connect AD, DC, CB, and BA. Therefore, ABCD is the required rhombus. |
The diagonals of a rhombus always divide each other at right angles.
(iii) A rectangle PQRS where PQ = 5 cm and PS = 4 cm.
| Steps of construction: |
| I. Start by drawing a line segment PQ that is 5 cm long. |
| II. At point P, draw a ray \( \vec{PX} \) such that \( \angle QPX = 90^\circ \). |
| III. From ray \( \vec{PX} \), cut off a segment PS that is 4 cm long. |
| IV. Using S as the center and a radius of 5 cm, mark an arc towards Q. |
| V. With Q as the center and a radius of 4 cm, mark another arc to cross the previous arc at R. |
| VI. Connect RQ and RS. In this way, PQRS is the necessary rectangle. |
(iv) A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm.
| Steps of construction: |
| I. First, make a line segment OK that is 5.5 cm long. |
| II. At point K, draw a ray \( \vec{KP} \). |
| III. From ray \( \vec{KP} \), cut off a segment KA that is 4.2 cm long. |
| IV. Using A as the center and a radius of 5.5 cm, draw an arc above OK. |
| V. With O as the center and a radius of 4.2 cm, draw another arc to cross the first arc at Y. |
| VI. Connect YO and YA. Thus, OKAY is the necessary parallelogram. |
Exam Tip: For geometry constructions, always start with a clear base line, use a compass and ruler precisely, and mark all angles and lengths accurately to get full marks. Double-check that your final figure matches the properties described in the question.
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Free GSEB Textbook Explanations: Class 8 Mathematics Chapter 04 Practical Geometry
Official GSEB Solutions for Chapter 04 Practical Geometry
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FAQs
The complete and updated GSEB Class 8 Maths Solutions Chapter 4 Practical Geometry Exercise 4.5 is available for free on StudiesToday.com. These solutions for Class 8 Mathematics are as per latest GSEB curriculum.
Yes, our experts have revised the GSEB Class 8 Maths Solutions Chapter 4 Practical Geometry Exercise 4.5 as per 2026 exam pattern. All textbook exercises have been solved and have added explanation about how the Mathematics concepts are applied in case-study and assertion-reasoning questions.
Toppers recommend using GSEB language because GSEB marking schemes are strictly based on textbook definitions. Our GSEB Class 8 Maths Solutions Chapter 4 Practical Geometry Exercise 4.5 will help students to get full marks in the theory paper.
Yes, we provide bilingual support for Class 8 Mathematics. You can access GSEB Class 8 Maths Solutions Chapter 4 Practical Geometry Exercise 4.5 in both English and Hindi medium.
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