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Practical Geometry Practice Questions

Class 7 · Mathematics · 992 free MCQs with instant results and detailed explanations.

992
Total
263
Easy
564
Medium
165
Hard

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Topics in Practical Geometry

Constructing Triangles 399
Constructing Parallel Lines 593

Sample Questions from Practical Geometry

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
What is the first step in constructing an equilateral triangle with a side length of 5 cm?
A. Draw a line segment of 5 cm.
B. Bisect the angle.
C. Draw a perpendicular bisector.
D. Mark a point at a distance of 5 cm.
Show Answer & Explanation
Correct Answer: A
The first step is to draw a line segment equal to one side of the triangle, which in this case is 5 cm.
Q2
Easy
When constructing a triangle given three sides (SSS), which tool is essential?
A. Compass
B. Ruler
C. Protractor
D. Set square
Show Answer & Explanation
Correct Answer: A
A compass is essential for marking the lengths of the sides while constructing a triangle using the SSS method.
Q3
Easy
Which triangle construction method uses two sides and the included angle?
A. SAS
B. ASA
C. SSS
D. AAS
Show Answer & Explanation
Correct Answer: A
The SAS method is used when two sides and the angle between them are known to construct a triangle.
Q4
Medium
Which of the following tools is essential for constructing parallel lines?
A. Compass
B. Ruler
C. Set Square
D. Protractor
Show Answer & Explanation
Correct Answer: C
A set square helps in creating right angles and ensures that lines are parallel when used properly.
Q5
Medium
When constructing parallel lines using a compass, what is the first step?
A. Draw a line.
B. Mark points on the line.
C. Set the compass width.
D. Draw arcs above and below the line.
Show Answer & Explanation
Correct Answer: A
The first step is to draw a line as it serves as the reference for constructing the parallel line.
Q6
Medium
If two lines are parallel, what is the relationship between their slopes?
A. They are equal.
B. They are perpendicular.
C. One is negative, the other is positive.
D. Their slopes add up to zero.
Show Answer & Explanation
Correct Answer: A
Parallel lines have the same slope, meaning they will never intersect.
Q7
Medium
Which method can be used to ensure that two lines being drawn are parallel using a ruler?
A. Measuring the distance between the lines.
B. Drawing both lines simultaneously.
C. Using a protractor to measure angles.
D. Aligning both lines with a vertical line.
Show Answer & Explanation
Correct Answer: A
Consistent distance between the lines ensures they are parallel; measuring helps enforce this.
Q8
Hard
Which of the following sets of measurements can construct a unique triangle?
A. 5 cm, 12 cm, 13 cm
B. 3 cm, 4 cm, 8 cm
C. 7 cm, 7 cm, 15 cm
D. 6 cm, 8 cm, 10 cm
Show Answer & Explanation
Correct Answer: A
A triangle can be constructed uniquely if the sum of any two sides is greater than the third side. Here, 5 + 12 > 13, hence it forms a triangle.
Q9
Hard
If a triangle has sides in the ratio 3:4:5, what type of triangle is it?
A. Isosceles
B. Equilateral
C. Scalene
D. Right-angled
Show Answer & Explanation
Correct Answer: D
A triangle with sides in the ratio 3:4:5 is a right-angled triangle according to the Pythagorean theorem.
Q10
Hard
When constructing a triangle using the SSS criterion, which of the following steps is NOT required?
A. Draw the first side.
B. Construct angles at the endpoints.
C. Draw the second side.
D. Draw the third side to meet the ends.
Show Answer & Explanation
Correct Answer: B
In SSS, we only need to measure and connect the lengths of all three sides without constructing angles.

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1 Integers
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3 Data Handling
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4 Simple Equations
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6 The Triangle and its Properties
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7 Congruence of Triangles
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Practical Geometry — Class 7 Mathematics Practice Questions Online

This page contains 992 practice MCQs for the chapter Practical Geometry in Class 7 Mathematics. The questions are organized by difficulty — 263 easy, 564 medium, 165 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 2 topics, giving you comprehensive coverage of the entire chapter.