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Quadrilaterals and their properties
Dynamic tasks on properties and angles of parallelograms, rhombi, rectangles, squares and trapezoids.
Questions: 10Estimated time: 13 minutes
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Question 1out of 10
Which quadrilateral always has four equal sides and four right angles?
A square has four equal sides and four right angles. Equal sides alone or parallel opposite sides alone are insufficient; both required properties must hold.
Question 2out of 10
One diagonal of a rectangle is 14 cm long. What is the length of the other diagonal?
Rectangle diagonals have equal lengths. The second diagonal has the same length as the first; do not double or halve it.
Question 3out of 10
Adjacent sides of a parallelogram are 6 cm and 13 cm. Calculate its perimeter.
Opposite parallelogram sides are equal. Perimeter = a + b + a + b = 2 × (a + b). Express the answer in cm.
Question 4out of 10
One angle of a parallelogram is 48°. Find an adjacent angle.
Adjacent parallelogram angles total 180°. Adjacent angle = 180° − given angle. Opposite angles, rather than adjacent ones, are equal.
Question 5out of 10
Three angles of a quadrilateral are 107°, 106° and 70°. Find the fourth angle.
The interior angles of a quadrilateral total 360°. Add the three known angles and subtract their sum from 360°.
Question 6out of 10
Adjacent sides of a parallelogram are 8 cm and 4 cm. Calculate its perimeter.
Opposite parallelogram sides are equal. Perimeter = a + b + a + b = 2 × (a + b). Express the answer in cm.
Question 7out of 10
Which statement is always true for every parallelogram?
A parallelogram has both pairs of opposite sides parallel; opposite sides are also equal. Right angles, all sides equal or equal diagonals are properties of only certain special parallelograms.
Question 8out of 10
One diagonal of a rectangle is 10 cm long. What is the length of the other diagonal?
Rectangle diagonals have equal lengths. The second diagonal has the same length as the first; do not double or halve it.
Question 9out of 10
One angle of an isosceles trapezoid is 47°. Find the angle on the same leg.
Interior angles on the same side of a transversal, or on the same trapezoid leg between parallel bases, total 180°. Subtract the known angle from 180° to find the other.
Question 10out of 10
A rhombus has side length 12 cm. Calculate its perimeter.
All four rhombus sides are equal. Perimeter = 4 × side length. The angle measures are not needed.
Time left: 00:00:00
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Sample questions
- Which quadrilateral always has four equal sides and four right angles?
- Adjacent sides of a parallelogram are ___ cm and ___ cm. Calculate its perimeter.
- One angle of a parallelogram is ___°. Find an adjacent angle.
- One diagonal of a rectangle is ___ cm long. What is the length of the other diagonal?
- A rhombus has side length ___ cm. Calculate its perimeter.
Quadrilaterals and their properties
The interior angles of every quadrilateral total 360°. A parallelogram has equal opposite sides and angles, a rhombus has four equal sides, a rectangle has four right angles, and a square has both sets of properties.
Trapezoids and diagonals
A trapezoid has one pair of parallel opposite sides. Classify a figure from marked properties, not appearance alone. Not every rhombus is a square, but every square is both a rhombus and a rectangle.
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