Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 5

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Question 1
1 / -0

Which of the following is a parallelogram?

A
Hexagonal prism

B
Rhombus

C
Triangular prism

D
Octahedron

Solution

A rhombus is a flat shape with 4 equal straight sides. All sides of rhombus have equal length. Opposite sides of a rhombus are parallel and opposite angles are equal. So, it is a parallelogram.
Question 2
1 / -0

A truck moves a certain distance and comes to rest. To cover that distance, the wheels of the truck make three-and-a-half revolutions. The number of straight angles through which each wheel turns is

A
9

B
8

C
7

D
5

Solution

1 revolution of a wheel = 2 straight angles

3.5 revolutions of a wheel = 3.5 x 2 = 7 straight angles
Question 3
1 / -0

A quadrilateral-shaped table has only two sides equal. Which of the following is not a possible shape for the table?

A
Rectangle

B
Parallelogram

C
Square

D
None of these

Solution

Rectangle is a quadrilateral with four right angles. The opposite sides of rectangle are equal.

Square is also a quadrilateral with four right angles. But all the 4 sides of a square are equal and are parallel to each other. Hence, it cannot the shape of table given in question.

Parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Question 4
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Which of the following statements is false?

A
The interior angles of quadrilaterals add to 360°.

B
Any quadrilateral with 4 right angles is a trapezium.

C
A diamond shape is a good example of a rhombus.

D
A kite quadrilateral features 2 pairs of adjacent sides that are of equal length.

Solution

(I) The interior angles of quadrilaterals add to 360°.
This is correct.

(II) Any quadrilateral with 4 right angles is not a trapezium. A quadrilateral with 4 right angles can be either Square or Rectangle.

(III) A diamond shape is a good example of a rhombus.
A rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length.

(IV) A kite quadrilateral features 2 pairs of adjacent sides that are of equal length.
This statement is correct.