Constructions
ICSE · Class 7 · Mathematics
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Quick Quiz: Constructions
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A triangle is to be constructed with sides 4 cm, 5 cm, and 6 cm. Which condition must be true before the construction is possible?
A line segment AB is 10 cm long. During perpendicular bisector construction, point P is the midpoint of AB. What is AP?
In a bisected angle, one part is 38°. What is the whole angle?
An angle of 90° is bisected. What is the measure of each part?
Sample Questions
An angle of 75° is made by combining 60° and 15°. What is 60° + 15°?
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75°
The final angle is the sum of the two parts: 60° + 15° = 75°.
A perpendicular bisector is drawn for a segment AB. If the segment is 14 cm long, what is the length of each part after bisection?
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7 cm
The perpendicular bisector divides the segment into two equal parts. So each part is 14 cm ÷ 2 = 7 cm.
In a right-angled triangle construction, one side containing the right angle is 4.5 cm and the other is 3.5 cm. How many sides are given in this construction?
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Two sides
This is a right triangle construction with the two sides containing the right angle given. So two sides are given: 4.5 cm and 3.5 cm.
An isosceles triangle has equal sides 4 cm each. What is the given side length if one equal side is used for construction?
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4 cm
For an isosceles triangle construction with one equal side and the vertex angle given, the given equal side is 4 cm.
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