Practical Geometry Practice Questions
Class 8 · Mathematics · 1125 free MCQs with instant results and detailed explanations.
1125
Total
363
Easy
542
Medium
220
Hard
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Topics in Practical Geometry
Constructing Quadrilaterals
406
SSS
377
SAS
342
Sample Questions from Practical Geometry
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
Which of the following quadrilaterals can be constructed if the lengths of all four sides are known, but no angles are given?
A.
A rectangle
B.
A trapezium
C.
A rhombus
D.
A square
Show Answer & Explanation
Correct Answer: C
A rhombus can be constructed with sides of equal length without needing angle measurements, while a rectangle and square require right angles, and a trapezium can vary in side lengths and angles.
Q2
Easy
What is the first step in constructing a quadrilateral given the lengths of all four sides?
A.
Draw one side.
B.
Measure angles.
C.
Draw diagonals.
D.
Label the vertices.
Show Answer & Explanation
Correct Answer: A
To construct a quadrilateral, you start by drawing one side. This serves as the base for the rest of the figure.
Q3
Easy
Which tool is essential for measuring angles when constructing a quadrilateral?
A.
Ruler
B.
Compass
C.
Protractor
D.
Set square
Show Answer & Explanation
Correct Answer: C
A protractor is specifically designed for measuring angles, making it essential for accurate angle construction in quadrilaterals.
Q4
Medium
What is the first step to construct a quadrilateral if three sides and the included angle are given?
A.
Draw the longest side.
B.
Construct the included angle.
C.
Draw one of the given sides.
D.
Label the points.
Show Answer & Explanation
Correct Answer: B
The first step is to construct the included angle accurately.
Q5
Medium
If a quadrilateral has sides 5 cm, 6 cm, 7 cm, and 8 cm, which could be a possible shape of this quadrilateral?
A.
Square
B.
Rectangle
C.
Irregular quadrilateral
D.
Rhombus
Show Answer & Explanation
Correct Answer: C
An irregular quadrilateral can have sides of different lengths.
Q6
Medium
To construct a parallelogram, which property must be maintained?
A.
All sides must be equal.
B.
Opposite sides must be equal.
C.
Diagonals must be equal.
D.
All angles must be 90 degrees.
Show Answer & Explanation
Correct Answer: B
In a parallelogram, opposite sides are always equal in length.
Q7
Medium
When constructing a trapezium, which measure is not necessary?
A.
Base lengths
B.
Height
C.
Angle at one base
D.
Length of the non-parallel sides
Show Answer & Explanation
Correct Answer: B
Height is not needed to construct a trapezium; only the bases and angles are sufficient.
Q8
Hard
Which of the following quadrilaterals can be constructed with sides of lengths 5 cm, 7 cm, 8 cm, and 4 cm?
A.
Trapezium
B.
Rectangle
C.
Parallelogram
D.
Rhombus
Show Answer & Explanation
Correct Answer: A
A trapezium can be constructed with these lengths because they satisfy the triangle inequality conditions, while a rectangle, parallelogram, or rhombus requires specific angles.
Q9
Hard
If you are given the lengths of three sides of a quadrilateral, how can you verify if a cyclic quadrilateral can be constructed?
A.
Check if the sum of opposite angles is 180 degrees.
B.
Check if the area can be calculated using Heron's formula.
C.
Check if the sum of all sides is even.
D.
Check if two sides are equal.
Show Answer & Explanation
Correct Answer: A
A cyclic quadrilateral must have its opposite angles sum to 180 degrees for it to be constructible, which distinguishes it from other quadrilaterals.
Q10
Hard
Which of the following conditions is NOT sufficient for constructing a quadrilateral uniquely?
A.
Four sides and one angle.
B.
Two diagonals and two opposite angles.
C.
Three sides and two adjacent angles.
D.
Four angles only.
Show Answer & Explanation
Correct Answer: D
Knowing only four angles does not provide enough information to determine the dimensions and shape of a quadrilateral uniquely.
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Practical Geometry — Class 8 Mathematics Practice Questions Online
This page contains 1125 practice MCQs for the chapter Practical Geometry in Class 8 Mathematics. The questions are organized by difficulty — 363 easy, 542 medium, 220 hard — so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.