Olympiad Test: Practical Geometry


20 Questions MCQ Test NCERT Mathematics for CAT Preparation | Olympiad Test: Practical Geometry


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Attempt Olympiad Test: Practical Geometry | 20 questions in 20 minutes | Mock test for Class 8 preparation | Free important questions MCQ to study NCERT Mathematics for CAT Preparation for Class 8 Exam | Download free PDF with solutions
QUESTION: 1

A parallelogram whose all sides are equal is called ________.

Solution:

A quadrilateral whose opposite sides are parallel is called parallelogram.
An equilateral quadrilateral i.e. the one with all sides equal is rhombus. 
Hence, a parallelogram whose sides are equal is called rhombus.

QUESTION: 2

What do we require to construct a quadrilateral if lengths of three sides are given?

Solution:

So we start with one of the diagonal ,say, AC, from point C we draw a line segment of given length, and from point A we draw the second given length in the same direction which intersect at D, from D we draw an arc of the length of second diagonal and from point C we draw arc of the given third length and cut the previous arc. Name the arc as B. join all the points.

QUESTION: 3

What do we require to construct a quadrilateral if measures of two adjacent angles are given?

Solution:

We first draw a line segment from A to B, then draw an angle at B and then extend it to the given second length making it C and then again draw an angle at C and extend it to the given third length and marking the end as D and joining A and D.

QUESTION: 4

What do we require to construct a quadrilateral if lengths of four sides are given?

Solution:

Because you start by drawing a diagonal only, so length of one diagonal is needed.

QUESTION: 5

What do we require to construct a quadrilateral if measures of three angles are given?

Solution:
QUESTION: 6

What do we require to construct a square?

Solution:
QUESTION: 7

What do we require to construct a rectangle?

Solution:
QUESTION: 8

How many measurements can determine a quadrilateral uniquely?

Solution:

We need 5 measurements such as 4 sides and 1 diagonal, or 3 sides and 2 diagonals or 2 sides and 3 angles

QUESTION: 9

A quadrilateral can be constructed uniquely if the lengths of its ______ sides and a diagonal are given.

Solution:
QUESTION: 10

A quadrilateral can be constructed uniquely if the lengths of its four sides and ____ diagonal are given.

Solution:
QUESTION: 11

A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.

Solution:
QUESTION: 12

A quadrilateral can be constructed uniquely if its ____ diagonals and three sides are known.

Solution:
QUESTION: 13

A quadrilateral can be constructed uniquely if its ____ adjacent sides and three angles are known.

Solution:
QUESTION: 14

A quadrilateral can be constructed uniquely if its _____ sides and two included angles are given.

Solution:
QUESTION: 15

A quadrilateral can be constructed uniquely if its two adjacent sides and ____ angles are known.

Solution:
QUESTION: 16

A quadrilateral can be constructed uniquely if its three sides and _____ included angles are given.

Solution:
QUESTION: 17

A rhombus cannot be drawn if

Solution:
QUESTION: 18

A parallelogram must be a rectangle if its diagonals 

Solution:
QUESTION: 19

To construct a quadrilateral uniquely, it is necessary to know at least_________ of its parts.

Solution:
QUESTION: 20

Which property is true for all trapezoids?

Solution:
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