Quadrilateral Teat

Result

Quadrilateral Teat - 1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Which of the following statements is correct?

A
Every rectangle is square.

B
Every square is a rhombus.

C
Every rhombus is a rectangle.

D
Every parallelogram is a rhombus.

Solution

A square is a type of quadrilateral in which all the sides are equal and the measure of all the angles is 90°.

A rhombus is a type of quadrilateral in which all the sides are equal.

Thus, every square is a rhombus.

Hence, the statement given in alternative B is correct.
Question 2
1 / -0

Ratio of the angles of a quadrilateral is 1: 2: 3: 4. What is the respective measure of each angle?

A
72°, 36°, 108°, 144°

B
36°, 72°, 108°, 144°

C
144°, 108°, 72°, 36°

D
108°, 36°, 72°, 144°

Solution

Let the four angles of the quadrilateral be x, 2x, 3x and 4x.

We know that the sum of the angles of a quadrilateral is 360°.

⇒ x + 2x + 3x + 4x = 360°

⇒ 10x = 360°

⇒ x = 360°/10 = 36°

∴ First angle, x = 36°.

Second angle, 2x = 2 × 36° = 72°.

Third angle, 3x = 3 × 36° = 108°.

Fourth angle, 4x = 4 × 36° = 144°.

Therefore, the respective measure of each angle of the given quadrilateral is 36°, 72°, 108° and 144°.
Question 3
1 / -0

The sum of two adjacent angles of a quadrilateral is 150°. What is the sum of remaining two angles?

A
105°

B
150°

C
210°

D
220°

Solution

Let the given quadrilateral be ABCD such that ∠A + ∠B = 150°.

We know that sum of all the angles of a quadrilateral is 360°.

∠A + ∠B + ∠C + ∠D = 360°

⇒ 150° + ∠C + ∠D = 360° (∠A + ∠B = 150°)

⇒ ∠C + ∠D = 360° − 150°

⇒ ∠C + ∠D = 210°

Thus, the sum of remaining two angles of the quadrilateral is 210°.