Constructions (Using Ruler and Compass only) — Practice Quiz
ICSE · Class 8 · Mathematics
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Quick Quiz: Constructions (Using Ruler and Compass only)
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A parallelogram ABCD is to be constructed when both diagonals and the angle between them are given. If diagonal AC = 5.5 cm, diagonal BD = 6.0 cm, and the angle between them is 60°, what is the length of OB and OD from midpoint O?
A rectangle ABCD is to be constructed from one diagonal and the angle between the diagonals. If diagonal AC = 6.4 cm, what are OB and OD from the midpoint O?
A rhombus ABCD is to be constructed when both diagonals are given. If diagonal BD = 5.4 cm, what are OB and OD from midpoint O?
A square ABCD is to be constructed when one diagonal is given. If diagonal AC = 6.4 cm, what are OB and OD from midpoint O?
Sample Questions
A line is to be constructed parallel to a given line at a fixed distance. If the distance is 3.6 cm, what is the radius used in the arc from point P to locate point R?
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3.6 cm
The construction for a line parallel to a given line at a given distance uses an arc with radius equal to the given distance. Here the distance is 3.6 cm, so the radius is 3.6 cm.
A rectangle is to be constructed when one side AB = 4.8 cm and diagonal AC = 6.2 cm. After drawing AB and the right angle at B, what arc radius is used from A to cut BP at C?
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6.2 cm
The point C lies on the arc centered at A with radius equal to the diagonal AC. Since AC = 6.2 cm, the arc radius from A must be 6.2 cm.
A rhombus is to be constructed when one side AB = 5 cm and diagonal AC = 7 cm. What radius is used from A and B to locate point C?
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7 cm from A and 5 cm from B
To find C, one arc is drawn with A as centre and radius AC = 7 cm. Another arc is drawn with B as centre and radius AB = 5 cm. Their intersection gives C.
A quadrilateral ABCD is to be constructed when four sides and one diagonal are given. If AB = 4 cm, BC = 3.8 cm, CD = 3.5 cm, AD = 4.2 cm, and AC = 5.5 cm, what lengths are used to locate point C from A and B?
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5.5 cm from A and 3.8 cm from B
To locate C, an arc of radius AC is drawn from A and an arc of radius BC is drawn from B. Here AC = 5.5 cm and BC = 3.8 cm, so those are the needed lengths.
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