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Olympiad Test: Practical Geometry - CAT MCQ


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20 Questions MCQ Test Additional Study Material for CAT - Olympiad Test: Practical Geometry

Olympiad Test: Practical Geometry for CAT 2024 is part of Additional Study Material for CAT preparation. The Olympiad Test: Practical Geometry questions and answers have been prepared according to the CAT exam syllabus.The Olympiad Test: Practical Geometry MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Practical Geometry below.
Solutions of Olympiad Test: Practical Geometry questions in English are available as part of our Additional Study Material for CAT for CAT & Olympiad Test: Practical Geometry solutions in Hindi for Additional Study Material for CAT course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Olympiad Test: Practical Geometry | 20 questions in 20 minutes | Mock test for CAT preparation | Free important questions MCQ to study Additional Study Material for CAT for CAT Exam | Download free PDF with solutions
Olympiad Test: Practical Geometry - Question 1
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A parallelogram whose all sides are equal is called ________.

Detailed Solution for Olympiad Test: Practical Geometry - Question 1

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.

Olympiad Test: Practical Geometry - Question 2
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What do we require to construct a quadrilateral if lengths of three sides are given?

Detailed Solution for Olympiad Test: Practical Geometry - Question 2

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.

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Olympiad Test: Practical Geometry - Question 3
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What do we require to construct a quadrilateral if measures of two adjacent angles are given?

Detailed Solution for Olympiad Test: Practical Geometry - Question 3

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.

Olympiad Test: Practical Geometry - Question 4
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What do we require to construct a quadrilateral if lengths of four sides are given?
Detailed Solution for Olympiad Test: Practical Geometry - Question 4

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

Olympiad Test: Practical Geometry - Question 5
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What do we require to construct a quadrilateral if measures of three angles are given?
Olympiad Test: Practical Geometry - Question 6
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What do we require to construct a square?
Olympiad Test: Practical Geometry - Question 7
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What do we require to construct a rectangle?
Olympiad Test: Practical Geometry - Question 8
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How many measurements can determine a quadrilateral uniquely?
Detailed Solution for Olympiad Test: Practical Geometry - Question 8

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

Olympiad Test: Practical Geometry - Question 9
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A quadrilateral can be constructed uniquely if the lengths of its ______ sides and a diagonal are given.
Olympiad Test: Practical Geometry - Question 10
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A quadrilateral can be constructed uniquely if the lengths of its four sides and ____ diagonal are given.
Olympiad Test: Practical Geometry - Question 11
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A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.
Olympiad Test: Practical Geometry - Question 12
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A quadrilateral can be constructed uniquely if its ____ diagonals and three sides are known.
Olympiad Test: Practical Geometry - Question 13
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A quadrilateral can be constructed uniquely if its ____ adjacent sides and three angles are known.
Olympiad Test: Practical Geometry - Question 14
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A quadrilateral can be constructed uniquely if its _____ sides and two included angles are given.
Olympiad Test: Practical Geometry - Question 15
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A quadrilateral can be constructed uniquely if its two adjacent sides and ____ angles are known.
Olympiad Test: Practical Geometry - Question 16
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A quadrilateral can be constructed uniquely if its three sides and _____ included angles are given.
Olympiad Test: Practical Geometry - Question 17
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A rhombus cannot be drawn if
Olympiad Test: Practical Geometry - Question 18
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A parallelogram must be a rectangle if its diagonals 
Olympiad Test: Practical Geometry - Question 19
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To construct a quadrilateral uniquely, it is necessary to know at least_________ of its parts.
Olympiad Test: Practical Geometry - Question 20
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Which property is true for all trapezoids?
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