It is useful to think about quadrilaterals as a connected family. One type of quadrilateral can have all the same properties as another type of quadrilateral, plus some extra properties.Select from the options to complete the statement about a rectangle.Answer:A rectangle is a parallelogram with:two pairs of opposite sides parallel.corner angles 90°90°.two pairs of opposite sides equal.two pairs of adjacent sides equal.
Question
It is useful to think about quadrilaterals as a connected family. One type of quadrilateral can have all the same properties as another type of quadrilateral, plus some extra properties.Select from the options to complete the statement about a rectangle.Answer:A rectangle is a parallelogram with:two pairs of opposite sides parallel.corner angles 90°90°.two pairs of opposite sides equal.two pairs of adjacent sides equal.
Solution
A rectangle is a parallelogram with:
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Two pairs of opposite sides parallel: This is a property of all parallelograms, including rectangles. So, this statement is true.
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Corner angles 90°: This is a specific property of rectangles. All angles in a rectangle are right angles (90°). So, this statement is also true.
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Two pairs of opposite sides equal: This is another property of all parallelograms. In a rectangle, the opposite sides are not only parallel but also equal in length. So, this statement is true.
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Two pairs of adjacent sides equal: This is not necessarily a property of rectangles. In a rectangle, the adjacent sides can be of different lengths. For example, in a rectangle with sides of 3 and 4 units, the adjacent sides are not equal. So, this statement is false.
So, a rectangle is a parallelogram with two pairs of opposite sides parallel, corner angles of 90°, and two pairs of opposite sides equal.
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