Identify the pairs of adjacent sides, Opposite sides and Diagonals in the quadrilateral ABCD. [3 Marks]

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Solution

There are four pairs of adjacents sides which are (AB, BC), (BC, CD), (CD, DA) and (DA, AB)
[1 Mark]
There are Two pairs of opposite sides which are (AB, CD) and (BC, DA)
[1 Mark]
There are two pairs of Diagonals sides which are AD and AC
[1 Mark]

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Q. Draw

□

XYZW and name the following.
(1) The pairs of opposite angles.
(2) The pairs of opposite sides.
(3) The pairs of adjacent sides.
(4) The pairs of adjacent angles.
(5) The diagonals of the quadrilateral.
(6) The name of the quadrilateral in different ways.

In the adjoining figure, ABCD is a quadrilateral.
(i) How many pairs of adjacent sides are there? Name them.
(ii) How many pairs of opposite sides are there? Name them.
(iii) How many pairs of adjacent angles are there? Name them.
(iv) How many pairs of opposite angles are there? Name them.
(v) How many diagonals are there? Name them.

In the figure, ABCD is a quadrilateral.
(i) Name a pair of adjacent sides.
(ii) Name a pair of opposite sides.
(iii) How many pairs of adjacent sides are there?
(iv) How many pairs of opposite sides are there?

(v)Name a pair of adjacent angles.
(vi) Name a pair of opposite angles.
(vii) How many pairs of adjacent angles are there?
(viii) How many pairs of opposite angles are there?

In the given figure, ABCD is a quadrilateral whose diagonals intersect at right angles. Show that the quadrilateral formed by joining the midpoints of the pairs of adjacent sides is a rectangle.

Fill in the blanks.

A quadrilateral with two pairs of equal adjacent sides but unequal opposite sides is known as _________________.

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Identify the pairs of adjacent sides, Opposite sides and Diagonals in the quadrilateral ABCD. [3 Marks]

There are four pairs of adjacents sides which are (AB, BC), (BC, CD), (CD, DA) and (DA, AB) [1 Mark] There are Two pairs of opposite sides which are (AB, CD) and (BC, DA) [1 Mark] There are two pairs of Diagonals sides which are AD and AC [1 Mark]

There are four pairs of adjacents sides which are (AB, BC), (BC, CD), (CD, DA) and (DA, AB)
[1 Mark]
There are Two pairs of opposite sides which are (AB, CD) and (BC, DA)
[1 Mark]
There are two pairs of Diagonals sides which are AD and AC
[1 Mark]