Constructions Practice Questions
Class 9 · Mathematics · 2505 free MCQs with instant results and detailed explanations.
2505
Total
841
Easy
1239
Medium
425
Hard
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Topics in Constructions
Bisecting Angle
1373
Constructing Triangles
551
Perpendicular Bisector
581
Sample Questions from Constructions
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
What is the first step in bisecting an angle using a compass?
A.
Draw a line segment from the vertex.
B.
Place the compass point on the vertex.
C.
Mark a point on the angle's arms.
D.
Measure the angle.
Show Answer & Explanation
Correct Answer: B
The first step involves placing the compass point at the vertex of the angle to ensure accurate measurement.
Q2
Easy
In the process of bisecting an angle, which instrument is primarily used?
A.
Ruler
B.
Protractor
C.
Compass
D.
Set square
Show Answer & Explanation
Correct Answer: C
A compass is used to create arcs which help find the bisector of an angle.
Q3
Easy
What will happen if the compass is not opened to the same width when marking arcs on both arms of an angle?
A.
The bisector will be accurate.
B.
The bisector will be incorrect.
C.
It will not affect the bisector.
D.
The arcs will not intersect.
Show Answer & Explanation
Correct Answer: B
If the compass width is not constant, the intersection point will not be accurate, leading to an incorrect bisector.
Q4
Medium
In angle bisector construction, if angle A measures 70°, what is the measure of each of the angles formed by the bisector?
A.
35°
B.
70°
C.
140°
D.
60°
Show Answer & Explanation
Correct Answer: A
The angle bisector divides the angle into two equal parts, so each part is half of 70°.
Q5
Medium
When constructing the bisector of a given angle, which of the following is NOT a necessary step?
A.
Draw an arc across both rays of the angle
B.
Mark the points where the arc intersects the rays
C.
Draw a line from the vertex to the arc's center
D.
Use a compass to measure the distances from the vertex to the intersection points
Show Answer & Explanation
Correct Answer: C
Drawing a line from the vertex to the arc's center is not a required step in bisecting an angle.
Q6
Medium
If a student constructs an angle bisector of a 90° angle, what will be the angle between the bisector and one of the original rays?
A.
45°
B.
30°
C.
60°
D.
90°
Show Answer & Explanation
Correct Answer: A
The angle bisector divides the 90° angle into two equal angles of 45° each.
Q7
Medium
Which of the following tools is essential for accurately constructing an angle bisector?
A.
Protractor
B.
Ruler
C.
Compass
D.
T-square
Show Answer & Explanation
Correct Answer: C
A compass is essential for creating arcs, which are necessary for constructing angle bisectors.
Q8
Hard
In a triangle ABC, angle A measures 80 degrees. If the angle is bisected, what is the measure of angle A in triangle ABD where D is the bisector?
A.
40 degrees
B.
80 degrees
C.
60 degrees
D.
20 degrees
Show Answer & Explanation
Correct Answer: A
When angle A is bisected, it is divided into two equal parts. Therefore, angle ABD measures 40 degrees.
Q9
Hard
If angle P measures 150 degrees and is bisected, what are the measures of the angles formed at point P?
A.
75 degrees each
B.
150 degrees and 0 degrees
C.
60 degrees and 90 degrees
D.
45 degrees each
Show Answer & Explanation
Correct Answer: A
When an angle measures 150 degrees, bisecting it will give two angles of 75 degrees each.
Q10
Hard
Which statement is true regarding the bisector of an angle in a triangle?
A.
It divides the triangle into two equal areas
B.
It always bisects the longest side
C.
It divides the opposite side in the ratio of the adjacent sides
D.
It is perpendicular to the opposite side
Show Answer & Explanation
Correct Answer: C
The angle bisector divides the opposite side in the ratio of the lengths of the other two sides of the triangle.
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Constructions — Class 9 Mathematics Practice Questions Online
This page contains 2505 practice MCQs for the chapter Constructions in Class 9 Mathematics. The questions are organized by difficulty — 841 easy, 1239 medium, 425 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.