Constructions of Triangles — Practice Quiz
Maharashtra Board · Class 9 · Mathematics
Try a 4-question quiz on Constructions of Triangles for Maharashtra Board Class 9 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Constructions of Triangles
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To construct triangle ABC with base BC = 5 cm, angle B = 60°, and AB + AC = 8 cm, what should be the first step?
In triangle construction with given base, adjacent angle, and sum of remaining sides, which point represents AB + AC?
What is the key property used to locate vertex A when AB + AC is given?
If BC = 6 cm, angle B = 45°, and AB + AC = 10 cm, what is the length BD in the construction?
Sample Questions
Which construction tools are needed to draw the perpendicular bisector of segment CD?
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Compass, Ruler
To construct a perpendicular bisector: 1) Use compass to draw arcs from C and D with radius > CD/2, 2) Use ruler to join the intersection points of the arcs.
In the construction method for AB - AC = 3 cm, which sides of the triangle are we finding the difference between?
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Two sides other than the base
AB - AC represents the difference between the two sides adjacent to the given base BC. The base is given separately from this difference.
What is the perpendicular bisector theorem?
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Every point on it is equidistant from the endpoints
The perpendicular bisector theorem states that every point on the perpendicular bisector of a segment is equidistant from the endpoints of that segment.
If perimeter of triangle ABC is 15 cm and base BC = 5 cm, what is AB + AC?
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10 cm
Perimeter = AB + BC + AC = 15 cm. Given BC = 5 cm, so AB + AC = 15 - 5 = 10 cm.
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