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Standard VII

Mathematics

Vertically Opposite Angles

Identify the ...

Question

Identify the pairs of vertically opposite angles.

$∠$ 1 and $∠$ 3

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$∠$ 2 and $∠$ 4

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$∠$ 1 and $∠$ 2

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$∠$ 2 and $∠$ 3

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Solution

The correct options are
A
$∠$ 1 and $∠$ 3

B
$∠$ 2 and $∠$ 4

Following are the pairs of vertically opposite angles:
$∠ 1, ∠ 3; a n d ∠ 2, ∠ 4.$

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Similar questions

Q. Find the distance between the following pairs of points:
(i)

(2, 3, 5)

and

(4, 3, 1)

(ii)

(- 3, 7, 2)

and

((2, 4, - 1)

(iii)

(- 1, 3, - 4)

and

(1, - 3, 4)

(iv)

(2, - 1, 3)

and

(- 2, 1, 3)

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.

Q. Question 4
The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of the other two vertices.

Match the following:

$\begin{matrix} Quadrilateral & Properties 1. Trapezium & A) A parallelogram, where diagonals bisect at right angles, all sides are equal and none of the angles are equal to 90^{\circ} 2. Square & B) A quadrilateral, where only one pair of opposite sides are parallel and unequal 3. Rectangle & C) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90^{\circ} 4. Rhombus & D) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90^{\circ} \end{matrix}$

In the figure (IMAGE)

(a) Is $∠ 1$

adjacent to $∠ 2$ ?

(b) Is $∠ A O C$
adjacent to $∠ A O E$ ?

(d) Are $∠ B O D$ and $∠ D O A$
supplementary?

(e) is $∠ 1$ vertically opposite to $∠ 4$ ?

(f) What is the vertically opposite angle of $∠ 5$ ?

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Identify the pairs of vertically opposite angles.

The correct options are A ∠1 and ∠3 B ∠2 and ∠4 Following are the pairs of vertically opposite angles: ∠1, ∠3; and ∠2, ∠4.

The correct options are
A
$∠$ 1 and $∠$ 3

B
$∠$ 2 and $∠$ 4

Following are the pairs of vertically opposite angles:
$∠ 1, ∠ 3; a n d ∠ 2, ∠ 4.$